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1

Houtte, P. Van. "Calculation of the Yield Locus of Textured Polycrystals Using the Taylor and the Relaxed Taylor Theory." Textures and Microstructures 7, no. 1 (January 1, 1987): 29–72. http://dx.doi.org/10.1155/tsm.7.29.

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Several authors have proposed methods which use the Taylor–Bishop–Hill theory in order to calculate the yield surface of textured samples of which the O.D.F. is known.The purpose of this paper is to show how these methods can be generalized while keeping the computational effort within reasonable limits. It must be emphasized that the new method produces “true” plane sections of the yield locus instead of so-called “principle strain yield loci.”A theorem that permits the exploitation of the sample symmetry is demonstrated. After a general description of the method, it is explained how the theorem can be used in order to restrict the number of deformation modes that must be considered.The next section discusses how a data bank of Taylor factors can be constructed. The full-constraint Taylor theory as well as the relaxed Taylor theory are considered.In the next section, it is explained how the plane sections through the multidimensional yield locus are generated. A few applications are finally discussed, including a study of the elongation of a torsion sample of which the O.D.F. has been measured.
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2

Fadoul, Oumar Abdoulaye, and Philippe Coussot. "Saffman–Taylor Instability in Yield Stress Fluids: Theory–Experiment Comparison." Fluids 4, no. 1 (March 16, 2019): 53. http://dx.doi.org/10.3390/fluids4010053.

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The Saffman–Taylor instability for yield stress fluids appears in various situations where two solid surfaces initially separated by such a material (paint, puree, concrete, yoghurt, glue, etc.) are moved away from each other. The theoretical treatment of this instability predicts fingering with a finite wavelength at vanishing velocity, and deposited materials behind the front advance, but the validity of this theory has been only partially tested so far. Here, after reviewing the basic results in that field, we propose a new series of experiments in traction to test the ability of this basic theory to predict data. We carried out tests with different initial volumes, distances and yield stresses of materials. It appears that the validity of the proposed instability criterion cannot really be tested under such experimental conditions, but at least we show that it effectively predicts the instability when it is observed. Furthermore, in agreement with the theoretical prediction for the finger size, a master curve is obtained when plotting the finger number as a function of the yield stress times the sample volume divided by the square initial thickness, in wide ranges of these parameters. This in particular shows that this traction test could be used for the estimation of the material yield stress.
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3

An, Yuguo, Henk Vegter, Louisa Carless, and Marc Lambriks. "A novel yield locus description by combining the Taylor and the relaxed Taylor theory for sheet steels." International Journal of Plasticity 27, no. 11 (November 2011): 1758–80. http://dx.doi.org/10.1016/j.ijplas.2011.05.003.

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4

Jones, S. E., P. P. Gillis, J. C. Foster, and L. L. Wilson. "A Rate-Dependent Interpretation of the Taylor Impact Test." Journal of Energy Resources Technology 111, no. 4 (December 1, 1989): 254–57. http://dx.doi.org/10.1115/1.3231433.

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A new one-dimensional theory for estimating the dynamic yield strength of materials, based on post-test measurements of Taylor impact specimens, has been developed by the authors. This theory offers the advantage of mathematical simplicity, while requiring only measurements of final specimen length, final undeformed length, and impact velocity as experimental data inputs. It is observed that the theory can accommodate a variety of material constitutive relations while preserving its basic simplicity. In particular, the dynamic material strength on impact, Y, can be directly correlated with impact velocity V through the relation Y = − Y0 − BV2. Here Y0 is the static yield strength and B is a material constant. This relation provides a rate-dependent constitutive law that is potentially useful in situations such as rod penetration, for example.
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5

Chen, Lei, Hongying Zhang, and Mitao Song. "Extension of Barlat’s Yield Criterion to Tension–Compression Asymmetry: Modeling and Verification." Metals 10, no. 6 (May 28, 2020): 713. http://dx.doi.org/10.3390/met10060713.

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The present study is devoted to extending Barlat’s famous yield criteria to tension–compression asymmetry by a novel method originally introduced by Khan, which can decouple the anisotropy and tension–compression asymmetry characteristics. First, Barlat (1987) isotropic yield criterion, which leads to a good approximation of yield loci calculated by the Taylor–Bishop–Hill crystal plasticity model, is extended to include yielding asymmetry. Furthermore, the famous Barlat (1989) anisotropic yield criterion, which can well describe the plastic behavior of face-centered cubic (FCC) metals, is extended to take the different strength effects into account. The proposed anisotropic yield criterion has a simple mathematical form and has only five parameters when used in planar stress states. Compared with existing theories, the new yield criterion has much fewer parameters, which makes it very convenient for practical applications. Furthermore, all coefficients of the criterion can be determined by explicit expressions. The effectiveness and flexibility of the new yield criterion have been verified by applying to different materials. Results show that the proposed theory can describe the plastic anisotropy and yielding asymmetry of metals well and the transformation onset of the shape memory alloy, showing excellent predictive ability and flexibility.
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6

AVRAM, F., D. MATEI, and Y. Q. ZHAO. "ON MULTISERVER RETRIAL QUEUES: HISTORY, OKUBO-TYPE HYPERGEOMETRIC SYSTEMS AND MATRIX CONTINUED-FRACTIONS." Asia-Pacific Journal of Operational Research 31, no. 02 (April 2014): 1440001. http://dx.doi.org/10.1142/s0217595914400016.

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In this paper, we study two families of QBD processes with linear rates: (a) the multiserver retrial queue and its easier relative; and (b) the multiserver M/M/∞ Markov modulated queue. The linear rates imply that the stationary probabilities satisfy a recurrence with linear coefficients; as known from previous work, they yield a"minimal/nondominant" solution of this recurrence, which may be computed numerically by matrix continued-fraction methods. Furthermore, the generating function of the stationary probabilities satisfies a linear differential system with polynomial coefficients, which calls for the venerable but still developing theory of holonomic (or D-finite) linear differential systems. We provide a differential system for our generating function that unifies problems (a) and (b), and we also include some additional features and observe that in at least one particular case we get a special "Okubo-type hypergeometric system", a family that recently spurred considerable interest.The differential system should allow further study of the Taylor coefficients of the expansion of the generating function at three points of interest: (i) the irregular singularity at 0; (ii) the dominant regular singularity, which yields asymptotic series via classic methods like the Frobenius vector expansion; and (iii) the point 1, whose Taylor series coefficients are the factorial moments.
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7

Emms, Paul, and Steven Haberman. "Pricing General Insurance Using Optimal Control Theory." ASTIN Bulletin 35, no. 02 (November 2005): 427–53. http://dx.doi.org/10.2143/ast.35.2.2003461.

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Insurance premiums are calculated using optimal control theory by maximising the terminal wealth of an insurer under a demand law. If the insurer sets a low premium to generate exposure then profits are reduced, whereas a high premium leads to reduced demand. A continuous stochastic model is developed, which generalises the deterministic discrete model of Taylor (1986). An attractive simplification of this model is that existing policyholders should pay the premium rate currently set by the insurer. It is shown that this assumption leads to a bang-bang optimal premium strategy, which cannot be optimal for the insurer in realistic applications. The model is then modified by introducing an accrued premium rate representing the accumulated premium rates received from existing and new customers. Policyholders pay the premium rate in force at the start of their contract and pay this rate for the duration of the policy. It is shown that, for two demand functions, an optimal premium strategy is well-defined and smooth for certain parameter choices. It is shown for a linear demand function that these strategies yield the optimal dynamic premium if the market average premium is lognormally distributed.
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8

Emms, Paul, and Steven Haberman. "Pricing General Insurance Using Optimal Control Theory." ASTIN Bulletin 35, no. 2 (November 2005): 427–53. http://dx.doi.org/10.1017/s051503610001432x.

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Insurance premiums are calculated using optimal control theory by maximising the terminal wealth of an insurer under a demand law. If the insurer sets a low premium to generate exposure then profits are reduced, whereas a high premium leads to reduced demand. A continuous stochastic model is developed, which generalises the deterministic discrete model of Taylor (1986). An attractive simplification of this model is that existing policyholders should pay the premium rate currently set by the insurer. It is shown that this assumption leads to a bang-bang optimal premium strategy, which cannot be optimal for the insurer in realistic applications.The model is then modified by introducing an accrued premium rate representing the accumulated premium rates received from existing and new customers. Policyholders pay the premium rate in force at the start of their contract and pay this rate for the duration of the policy. It is shown that, for two demand functions, an optimal premium strategy is well-defined and smooth for certain parameter choices. It is shown for a linear demand function that these strategies yield the optimal dynamic premium if the market average premium is lognormally distributed.
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9

Wilson, S. D. R. "The Taylor–Saffman problem for a non-Newtonian liquid." Journal of Fluid Mechanics 220 (November 1990): 413–25. http://dx.doi.org/10.1017/s0022112090003329.

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The Taylor–Saffman problem concerns the fingering instability which develops when one liquid displaces another, more viscous, liquid in a porous medium, or equivalently for Newtonian liquids, in a Hele-Shaw cell. Recent experiments with Hele-Shaw cells using non-Newtonian liquids have shown striking qualitative differences in the fingering pattern, which for these systems branches repeatedly in a manner resembling the growth of a fractal. This paper is an attempt to provide the beginnings of a hydrodynamical theory of this instability by repeating the analysis of Taylor & Saffman using a more general constitutive model. In fact two models are considered; the Oldroyd ‘Fluid B’ model which exhibits elasticity but not shear thinning, and the Ostwald–de Waele power-law model with the opposite combination. Of the two, only the Oldroyd model shows qualitatively new effects, in the form of a kind of resonance which can produce sharply increasing (in fact unbounded) growth rates as the relaxation time of the fluid increases. This may be a partial explanation of the observations on polymer solutions; the similar behaviour reported for clay pastes and slurries is not explained by shear-thinning and may involve a finite yield stress, which is not incorporated into either of the models considered here.
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10

Ben Bettaieb, Mohamed, and Farid Abed-Meraim. "Influence of the Non-Schmid Effects on the Ductility Limit of Polycrystalline Sheet Metals." Materials 11, no. 8 (August 8, 2018): 1386. http://dx.doi.org/10.3390/ma11081386.

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The yield criterion in rate-independent single crystal plasticity is most often defined by the classical Schmid law. However, various experimental studies have shown that the plastic flow of several single crystals (especially with Body Centered Cubic crystallographic structure) often exhibits some non-Schmid effects. The main objective of the current contribution is to study the impact of these non-Schmid effects on the ductility limit of polycrystalline sheet metals. To this end, the Taylor multiscale scheme is used to determine the mechanical behavior of a volume element that is assumed to be representative of the sheet metal. The mechanical behavior of the single crystals is described by a finite strain rate-independent constitutive theory, where some non-Schmid effects are accounted for in the modeling of the plastic flow. The bifurcation theory is coupled with the Taylor multiscale scheme to predict the onset of localized necking in the polycrystalline aggregate. The impact of the considered non-Schmid effects on both the single crystal behavior and the polycrystal behavior is carefully analyzed. It is shown, in particular, that non-Schmid effects tend to precipitate the occurrence of localized necking in polycrystalline aggregates and they slightly influence the orientation of the localization band.
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11

Yan, Yi Wu, Lin Geng, Ai Bin Li, and Guo Hua Fan. "Finite Element Analysis about Effects of Particle Size on Deformation Behavior of Particle Reinforced Metal Matrix Composites." Key Engineering Materials 353-358 (September 2007): 1263–66. http://dx.doi.org/10.4028/www.scientific.net/kem.353-358.1263.

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By incorporating the Taylor-based nonlocal theory of plasticity, the finite element method (FEM) is applied to investigate the effect of particle size on the deformation behavior of the metal matrix composites. In the simulation, the two-dimensional plane strain and random distribution multi-particles model are used. It is shown that, at a fixed particle volume fraction, there is a close relationship between the particle size and the deformation behavior of the composites. The yield strength and plastic work hardening rate of the composites increase with decreasing particle size. The predicted stress-strain behaviors of the composites are qualitative agreement with the experimental results.
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12

ASTON, ELAINE. "Editorial." Theatre Research International 35, no. 2 (May 27, 2010): 97–98. http://dx.doi.org/10.1017/s0307883310000015.

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The academic conference is an important feature of our professional lives. It constitutes a meeting ground, a forum, in which key topics in a field can begin to emerge; where cognate ideas and approaches get debated, affirmed or contested; where, in short, ideas can move (on) through academics being in contact with each other's ideas. Any journal editor is drawn inevitably to the conference ‘season’ as fertile, ‘hunting’ ground; trawls for papers that will yield article publications (if others do not get there first!). And so it is that my second issue of TRI since becoming editor is sourced from the 2008 Actions of Transfer: Women's Performance in the Americas conference, hosted by the University of California, Los Angeles and co-sponsored by the Hemispheric Institute of Performance and Politics. As this event is expertly introduced and the issue framed by co-organizers Sue-Ellen Case and Diana Taylor, this editorial note needs only to be brief. Indeed, I hesitated long at the computer keyboard thinking that perhaps no note at all was necessary. Except that two observations or headlines felt editorially important to me to express: the significance of Actions of Transfer for thinking generally about the nature of the conference event in relation to TRI's international, theatre research remit, and the mix of articles and the performance dossier brought together in the issue.
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13

Stockman, Harlan W., Robert J. Glass, Clay Cooper, and Harihar Rajaram. "Accuracy and Computational Efficiency in 3D Dispersion via Lattice-Boltzmann: Models for Dispersion in Rough Fractures and Double-Diffusive Fingering." International Journal of Modern Physics C 09, no. 08 (December 1998): 1545–57. http://dx.doi.org/10.1142/s0129183198001394.

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In the presence of buoyancy, multiple diffusion coefficients, and porous media, the dispersion of solutes can be remarkably complex. The lattice-Boltzmann (LB) method is ideal for modeling dispersion in flow through complex geometries; yet, LB models of solute fingers or slugs can suffer from peculiar numerical conditions (e.g., denormal generation) that degrade computational performance by factors of 6 or more. Simple code optimizations recover performance and yield simulation rates up to ~3 million site updates per second on inexpensive, single-CPU systems. Two examples illustrate limits of the methods: (1) Dispersion of solute in a thin duct is often approximated with dispersion between infinite parallel plates. However, Doshi, Daiya and Gill (DDG) showed that for a smooth-walled duct, this approximation is in error by a factor of ~8. But in the presence of wall roughness (found in all real fractures), the DDG phenomenon can be diminished. (2) Double-diffusive convection drives "salt-fingering", a process for mixing of fresh-cold and warm-salty waters in many coastal regions. Fingering experiments are typically performed in Hele-Shaw cells, and can be modeled with the 2D (pseudo-3D) LB method with velocity-proportional drag forces. However, the 2D models cannot capture Taylor–Aris dispersion from the cell walls. We compare 2D and true 3D fingering models against observations from laboratory experiments.
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14

Luzzatto-Fegiz, Paolo, and Karl R. Helfrich. "Laboratory experiments and simulations for solitary internal waves with trapped cores." Journal of Fluid Mechanics 757 (September 19, 2014): 354–80. http://dx.doi.org/10.1017/jfm.2014.501.

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AbstractWe perform simultaneous coplanar measurements of velocity and density in solitary internal waves with trapped cores, as well as viscous numerical simulations. Our set-up comprises a thin stratified layer (approximately 15 % of the overall fluid depth) overlaying a deep homogeneous layer. We consider waves propagating near a free surface, as well as near a rigid no-slip lid. In the free-surface case, all trapped-core waves exhibit a strong shear instability. We propose that Marangoni effects are responsible for this instability, and use our velocity measurements to perform quantitative calculations supporting this hypothesis. These surface-tension effects appear to be difficult to avoid at the experimental scale. By contrast, our experiments with a no-slip lid yield robust waves with large cores. In order to consider larger-amplitude waves, we complement our experiments with viscous numerical simulations, employing a longer virtual tank. Where overlap exists, our experiments and simulations are in good agreement. In order to provide a robust definition of the trapped core, we propose bounding it as a Lagrangian coherent structure (instead of using a closed streamline, as has been done traditionally). This construction is less sensitive to small errors in the velocity field, and to small three-dimensional effects. In order to retain only flows near equilibrium, we introduce a steadiness criterion, based on the rate of change of the density in the core. We use this criterion to successfully select within our experiments and simulations a family of quasi-steady robust flows that exhibit good collapse in their properties. The core circulation is small (at most, around 10 % of the baroclinic wave circulation). The core density is essentially uniform; the standard deviation of the density, in the core region, is less than 4 % of the full density range. We also calculate the circulation, kinetic energy and available potential energy of these waves. We find that these results are consistent with predictions from Dubreil-Jacotin–Long theory for waves with a uniform-density irrotational core, except for an offset, which we suggest is associated with viscous effects. Finally, by computing Richardson-number fields, and performing a temporal stability analysis based on the Taylor–Goldstein equation, we show that our results are consistent with empirical stability criteria in the literature.
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15

Jäger, Rainer, Jürgen Mann, German Höcht, and Peter Hubral. "Common‐reflection‐surface stack: Image and attributes." GEOPHYSICS 66, no. 1 (January 2001): 97–109. http://dx.doi.org/10.1190/1.1444927.

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The common‐reflection‐surface stack provides a zero‐offset simulation from seismic multicoverage reflection data. Whereas conventional reflection imaging methods (e.g. the NMO/dip moveout/stack or prestack migration) require a sufficiently accurate macrovelocity model to yield appropriate results, the common‐reflection‐surface (CRS) stack does not depend on a macrovelocity model. We apply the CRS stack to a 2-D synthetic seismic multicoverage dataset. We show that it not only provides a high‐quality simulated zero‐offset section but also three important kinematic wavefield attribute sections, which can be used to derive the 2-D macrovelocity model. We compare the multicoverage‐data‐derived attributes with the model‐derived attributes computed by forward modeling. We thus confirm the validity of the theory and of the data‐derived attributes. For 2-D acquisition, the CRS stack leads to a stacking surface depending on three search parameters. The optimum stacking surface needs to be determined for each point of the simulated zero‐offset section. For a given primary reflection, these are the emergence angle α of the zero‐offset ray, as well as two radii of wavefront curvatures [Formula: see text] and [Formula: see text]. They all are associated with two hypothetical waves: the so‐called normal wave and the normal‐incidence‐point wave. We also address the problem of determining an optimal parameter triplet (α, [Formula: see text], [Formula: see text]) in order to construct the sample value (i.e., the CRS stack value) for each point in the desired simulated zero‐offset section. This optimal triplet is expected to determine for each point the best stacking surface that can be fitted to the multicoverage primary reflection events. To make the CRS stack attractive in terms of computational costs, a suitable strategy is described to determine the optimal parameter triplets for all points of the simulated zero‐offset section. For the implementation of the CRS stack, we make use of the hyperbolic second‐order Taylor expansion of the stacking surface. This representation is not only suitable to handle irregular multicoverage acquisition geometries but also enables us to introduce simple and efficient search strategies for the parameter triple. In specific subsets of the multicoverage data (e.g., in the common‐midpoint gathers or the zero‐offset section), the chosen representation only depends on one or two independent parameters, respectively.
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16

Dussan V., E. B., and S. H. Davis. "Stability in systems with moving contact lines." Journal of Fluid Mechanics 173 (December 1986): 115–30. http://dx.doi.org/10.1017/s0022112086001106.

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An energy stability theory is formulated for systems having moving contact lines. The method derives from criteria obtained from the integral mechanical-energy balance manipulated to reflect general material and dynamical properties of moving-contact-line regions. The method yields conditions for both stability and instability and is applied to the two-dimensional Rayleigh-Taylor problem in a vertical slot.
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17

Castellani, Leonardo. "A GEOMETRIC FIELD THEORY OF CLOSED STRINGS: D=4, N=1 LOOP SUPERGRAVITY." International Journal of Modern Physics A 05, no. 09 (May 10, 1990): 1819–32. http://dx.doi.org/10.1142/s0217751x90000854.

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We present a classical field theory of interacting loops, whose low energy limit is D=4, N=1 supergravity. In Fourier modes, the theory is obtained by gauging the infinite dimensional algebra KM (SuperPoincaré) ⊕ Virasoro, where KM indicates the Kac-Moody extension. Taylor expanding the superloop vielbein in the “internal” coordinates yields towers of D=4 fields with arbitrarily high spins. The superloop diffeomorphisms relate all the higher spin fields. The field equations are obtained by requiring the closure of the generalized supersymmetries. Two different mechanisms give rise to masses for the higher modes: (i) a Kaluza-Klein type mass generation from “internal” loop coordinates, (ii) a non-vanishing background value for the zero mode of the Virasoro gauge field.
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18

Claverie, Benjamin, and Ralf Schindler. "Woodin's axiom (*), bounded forcing axioms, and precipitous ideals on ω1." Journal of Symbolic Logic 77, no. 2 (June 2012): 475–98. http://dx.doi.org/10.2178/jsl/1333566633.

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AbstractIf the Bounded Proper Forcing Axiom BPFA holds, then Mouse Reflection holds at ℵ2 with respect to all mouse operators up to the level of Woodin cardinals in the next ZFC-model. This yields that if Woodin's ℙmax axiom (*) holds, then BPFA implies that V is closed under the “Woodin-in-the-next-ZFC-model” operator. We also discuss stronger Mouse Reflection principles which we show to follow from strengthenings of BPFA, and we discuss the theory BPFA plus “NSω1 is precipitous” and strengthenings thereof. Along the way, we answer a question of Baumgartner and Taylor, [2, Question 6.11].
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19

Hensley, Wayne E. "A THEORY OF THE VALENCED OTHER: THE INTERSECTION OF THE LOOKING-GLASS-SELF AND SOCIAL PENETRATION." Social Behavior and Personality: an international journal 24, no. 3 (January 1, 1996): 293–308. http://dx.doi.org/10.2224/sbp.1996.24.3.293.

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This paper considers the relationships between the looking-glass-self (Cooley, 1902) and social penetration (Altman & Taylor, 1973). This theoretical intersection yields a conceptual other whose reflected image of us is both affect and cognition: the valenced other. This theoretical analysis produces a curvilinear relationship which is hypothesized to exist between image accuracy and the penetration level of the reference person. The most accurate images are, in descending order: casual acquaintance, friend, intimate and stranger. The distortion in the intimate's image is due to their emotional involvement rendering them blind to otherwise obvious information. This paper argues that neither the looking-glass-self nor social penetration is complete alone. This resultant unified system gives rise to the valenced other concept.
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20

SHREIF, ZEINA, and PETER ORTOLEVA. "MULTISCALE BORN-OPPENHEIMER THEORY OF COLLECTIVE ELECTRON-NUCLEAR DYNAMICS IN NANOSYSTEMS." Journal of Theoretical and Computational Chemistry 10, no. 05 (October 2011): 605–14. http://dx.doi.org/10.1142/s0219633611006669.

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Born-Oppenheimer theory is based on the separation in timescales between the nuclear and electron dynamics implied by the electron-to-nuclear mass ratio. This makes it naturally fit into a multiscale analysis. It is shown that a fully dynamical Born-Oppenheimer theory follows from a multiscale ansatz on the wave function and a Taylor expansion in the mass ratio. Allowing for a larger spatial scale of electron motion yields an understanding of boson, fermion, and more complex excitations that involve quasi-particles with an effective mass not equal to that of the electron. The theory involves a unified asymptotic expansion in a mass and length scale ratio, and preserves all many-body effects via accounting for the full strength of the interparticle forces. A novel mean-field theory emerges based on the fact that long-scale migration allows each electron to interact with many others on the space-time scale relevant to the coarse-grained equation. Implications for computational methods and applications to quantum nanosystems such as quantum dots, nanowires, superconducting nanoparticles, and liquid He droplets are discussed.
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21

PONS, J. M., D. C. SALISBURY, and K. A. SUNDERMEYER. "GRAVITATIONAL OBSERVABLES, INTRINSIC COORDINATES, AND CANONICAL MAPS." Modern Physics Letters A 24, no. 10 (March 28, 2009): 725–32. http://dx.doi.org/10.1142/s0217732309030473.

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It is well known that in a generally covariant gravitational theory the choice of spacetime scalars as coordinates yields phase-space observables (or "invariants"). However, their relation to the symmetry group of diffeomorphism transformations has remained obscure. In a symmetry-inspired approach we construct invariants out of canonically induced active gauge transformations. These invariants may be interpreted as the full set of dynamical variables evaluated in the intrinsic coordinate system. The functional invariants can explicitly be written as a Taylor expansion in the coordinates of any observer, and the coefficients have a physical and geometrical interpretation. Surprisingly, all invariants can be obtained as limits of a family of canonical transformations. This permits a short (again geometric) proof that all invariants, including the lapse and shift, satisfy Poisson brackets that are equal to the invariants of their corresponding Dirac brackets.
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22

Khayat, Roger E., and Byung Chan Eu. "Generalized hydrodynamics and linear stability analysis of cylindrical Couette flow of a dilute Lennard–Jones fluid." Canadian Journal of Physics 71, no. 11-12 (November 1, 1993): 518–36. http://dx.doi.org/10.1139/p93-081.

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Linear stability analysis is carried out for cylindrical Couette flow of a Lennard–Jones fluid in the density range from the dense liquid to the dilute gas regime. Generalized hydrodynamic equations are used to calculate marginal stability curves and compare them with those obtained by using the Navier–Stokes–Fourier equations for compressible fluids and also for incompressible fluids. In the low Reynolds or Mach number regime, if the Knudsen number is sufficiently low, the marginal stability curves calculated by the generalized hydrodynamic theory coincide, within numerical errors, with those based on the Navier–Stokes theory. But there are considerable deviations between them in the regimes beyond those mentioned earlier, since nonlinear effects manifest themselves in the laminar mean flow through the nonlinear dissipation term and normal stresses. There are three marginal stability curves obtained in contrast to the Navier–Stokes theory, which yields only two. The previously observed phase-transition-like behavior in fluid variables and the slip phenomenon are found to occur beyond the hydrodynamic stability point. The disturbance entropy production associated with the Taylor–Couette vortices is calculated to first order in disturbances in flow variables and is found to decrease as the number of vortices increases and thereby the dynamic structure is progressively more organized.
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23

HU, WEN-GUEI, and SONG-SUN LIN. "ZETA FUNCTIONS FOR HIGHER-DIMENSIONAL SHIFTS OF FINITE TYPE." International Journal of Bifurcation and Chaos 19, no. 11 (November 2009): 3671–89. http://dx.doi.org/10.1142/s0218127409025055.

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This work investigates zeta functions for d-dimensional shifts of finite type, d ≥ 3. First, the three-dimensional case is studied. The trace operator Ta1,a2;b12and rotational matrices Rx;a1,a2;b12and Ry;a1,a2;b12are introduced to study [Formula: see text] -periodic patterns. The rotational symmetry of Ta1,a2;b12induces the reduced trace operator τa1,a2;b12and then the associated zeta function ζa1,a2;b12= ( det (I-sa1a2τa1,a2;b12))-1. The zeta function ζ is then expressed as [Formula: see text], a reciprocal of an infinite product of polynomials. The results hold for any inclined coordinates, determined by unimodular transformation in GL3(ℤ). Hence, a family of zeta functions exists with the same integer coefficients in their Taylor series expansions at the origin, and yields a family of identities in number theory. The methods used herein are also valid for d-dimensional cases, d ≥ 4, and can be applied to thermodynamic zeta functions for the three-dimensional Ising model with finite range interactions.
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24

Ou, C. Y., C. C. Liu, and C. K. Chin. "Development of Time Dependent Stress-Strain Simulation of Clay." Journal of Mechanics 25, no. 1 (March 2009): 27–40. http://dx.doi.org/10.1017/s1727719100003579.

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AbstractThe objective of this study is to derive a time dependent effective based constitutive law on the basis of framework of the Modified Cam-Clay model. This model takes into account the anisotropic characteristics and creep behavior, based on the theory of viscoplasticity. The model sets the initial yield surface symmetric to the Ko line for modeling the initial Ko condition. A method is then developed to compute the gyration and expansion of the loading surface to simulate the anisotropic behavior due to the principal stress gyration after shear. The creep or time dependent behavior is considered in the model by adopting Kutter and Sathialingam's model, which was derived from Taylor's secondary consolidation theory and Bjerrum's delayed compression model. Compared with the Modified Cam-Clay model, the model requires five additional parameters to describe the soil behavior. All of the additional parameters can be obtained through conventional soil tests or parametric studies. The model is evaluated through a series of simulation of undrained shear tests and undrained creep tests.
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Wyatt, Donald C., and Peter A. Chang. "Development and Assessment of a Total Resistance Optimized Bow for the AE 36." Marine Technology and SNAME News 31, no. 02 (April 1, 1994): 149–60. http://dx.doi.org/10.5957/mt1.1994.31.2.149.

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A numerically optimized bow design is developed to reduce the total resistance of a 23 000 ton ammunition ship (AE 36) at a speed of 22 knots. An optimization approach using slender-ship theory for the prediction of wave resistance is developed and applied. The new optimization procedure is an improvement over previous optimization methodologies in that it allows the use of nonlinear constraints which assure that the final design remains within practical limits from construction and operational perspectives. Analytic predictions indicate that the AE 36 optimized with this procedure will achieve a 40% reduction in wave resistance and a 33% reduction in total resistance at 22 knots relative to a Kracht elliptical bulb bow design. The optimization success is assessed by the analysis of 25th scale model resistance data collected at the David Taylor Research Center deepwater towing basin. The experimental data indicate that the optimized hull form yields a 51% reduction in wave resistance and a 12% reduction in total resistance for the vessel at 22 knots relative to the Kracht bulb bow design. Similarly encouraging results are also observed when comparisons are made with data collected on two other conventionally designed AE 36 designs.
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GUERRERO, I., R. BOCANEGRA, F. J. HIGUERA, and J. FERNANDEZ DE LA MORA. "Ion evaporation from Taylor cones of propylene carbonate mixed with ionic liquids." Journal of Fluid Mechanics 591 (October 30, 2007): 437–59. http://dx.doi.org/10.1017/s0022112007008348.

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A combined experimental and numerical approach is used to extract information on the kinetics of ion evaporation from the region of high electric field around the tip of a Taylor cone of the neutral solvent propylene carbonate (PC) mixed with two ionic liquids. On the numerical side, the electric field on the surface of the liquid is computed in the absence of evaporation by solving the electrohydrodynamic problem in this region within the framework of the leaky dielectric model. These computations justify the approximate (2% max error) scaling Emax = β Ek for the maximum electric field on the surface, with Ek = γ1/2 ϵ0−2/3 (K/Q)1/6 for 0.111 < K < 0.888 S m−1 and a numerical value of β ≈ 0.76. Here γ is the surface tension of PC, ϵ0 is the electrical permittivity of vacuum, and K and Q are the liquid electrical conductivity and flow rate. On the experimental side, 16 different propylene carbonate solutions with either of the ionic liquids 1-ethyl-3-methylimidazolium tetrafluoroborate (EMI-BF4) or EMI-bis(trifluoro-methylsulfonyl)imide (EMI-Im) are electrosprayed in a vacuum from a single Taylor cone, and their emissions of charged drops and ions are analysed by time-of-flight mass spectrometry at varying liquid flow rates Q. The sprays contain exclusively drops at large Q, both for small and for large electrical conductivities K, but enter a mixed ion–drop regime at sufficiently large K and small Q. Interestingly, the mixtures containing 10% and 15% (vol) EMI-Im exhibit no measurable ion currents at high Q, but approach a purely ionic regime (almost no drops) at small Q. The charge/mass ratio for the drops produced in these two mixtures increases continuously with decreasing Q, and gets very close to ionic values. Measured ion currents are represented versus computed maximum electric fields Emax on the liquid surface to infer ion evaporation kinetics. Comparison of measured ion currents with predictions from ion evaporation theory yields an anomalously low activation energy (~1.1 eV). This paradox appears to be due to alteration of the pure conj–eet electric field in the scaling laws used for the pure cone–jet regime, due to the substantial ion current density arising even when the ion current is relatively small. Elimination of this interference would require future ion current measurements in the 10–100 pA level. The electrical propulsion characteristics of the emissions from these liquids are determined and found to be excellent, particularly for 10% and 15% (vol) EMI-Im.
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Sullivan, Marek. "Cartesian Secularity: “Disengaged Reason,” the Passions, and the Public Sphere Beyond Charles Taylor’s A Secular Age (2007)." Journal of the American Academy of Religion 87, no. 4 (October 1, 2019): 1050–84. http://dx.doi.org/10.1093/jaarel/lfz037.

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AbstractAlthough explicitly challenging overly simplistic dichotomies between secular reason and religious affect, Charles Taylor’s monumental genealogy A Secular Age (2007) downplays the role of the body in Descartes’s theory of agency and mistakenly projects this understanding of the “Cartesian” self upon the public sphere of the late-seventeenth and eighteenth centuries. Through a careful reading of Descartes’s last work, Les Passions de l’Âme (1649), and drawing on existing work by Cottingham (2012), Kahn (2006), and Kirkebøen (2001), this article argues the Passions is better seen as an attempt to reinscribe politics in the body through Descartes’s theory of the habit. A focus on the latter yields a complex understanding of the emergence of the public sphere, not as a neutral space for the free exchange of rational speech acts, but as a power-driven environment shaped by the manipulation of habit-creating experiences. The article ends by considering some implications for the genealogy of our “secular age.”
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Zabarankin, Michael. "Small deformation theory for two leaky dielectric drops in a uniform electric field." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 476, no. 2233 (January 2020): 20190517. http://dx.doi.org/10.1098/rspa.2019.0517.

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A small deformation theory for two non-identical spherical drops freely suspended in an ambient fluid and subjected to a uniform electric field is presented. The three phases are assumed to be leaky dielectric (slightly conducting) viscous incompressible fluids and the nonlinear effects of inertia and surface charge convection are neglected. The deformed shapes of the drops are linearized with respect to the electric capillary number that characterizes the balance between the electric stress and the surface tension. When the two drops are sufficiently far apart, their deformed shapes are predicted by Taylor’s small deformation theory—depending on Taylor’s discriminating function, the drops may become prolate, oblate or remain spherical. When the two drops get closer to each other, in addition to becoming prolate/oblate, they start translating and developing an egg shape. (Since there is no net charge, the centre of mass of the two drops remains stationary.) The extent of each of these ‘modes’ of deformation depends on the distance between the drops’ centres and on drop-to-ambient fluid ratios of electric conductivities, dielectric constants and viscosities. The predictions of the small deformation theory for two drops perfectly agree with the existing results of two-drop dynamics simulation based on a boundary-integral equation approach. Moreover, while previous works observed only three types of behaviour for two identical drops—the drops may either become prolate or oblate and move towards each other or become prolate and move away from each other—the small deformation theory predicts that non-identical drops may, in fact, become oblate and move away from each other when the drop-to-ambient fluid conductivity ratios are reciprocal and the drop-to-ambient fluid viscosity ratios are sufficiently large. The presented theory also readily yields an analytical insight into the interplay among different modes of drop deformation and can be used to guide the selection of the phases’ electromechanical properties for two-drop dynamics simulations.
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Doi, Tomoharu, Koji Yoshida, Yutaka Tamai, Katsuaki Kono, Kazufumi Naito, and Toshiro Ono. "Modeling and Feedback Control for Vibratory Feeder of Electromagnetic Type." Journal of Robotics and Mechatronics 11, no. 5 (October 20, 1999): 367–73. http://dx.doi.org/10.20965/jrm.1999.p0367.

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Modeling and Feedback Control for Electromagnetic Vibratory Feeder The electromagnetic vibratory feeder is a typical transport device used on production lines. Existing feeders are driven by feed-forward control, firing angle control of the driver cannot cancel sudden disturbances. We applied feedback control to such a feeder, proposing 2 detailed models – a dynamic model for a vibratory mechanical element useful to mechanical design and another for an electromagnetic actuating element. Taylor's expansion of these 2 models yields a linear dynamic model useful in feedback control theory. The feasibility of the model was confirmed through simulation. In a preliminary experiment, we applied PI control to the feeder because the driver is nonlinear, and results confirmed that PI control improves transport of the feeder.
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Grubert, Dietmar. "Using the FHP-BGK-Model to Get Effective Dispersion Constants for Spatially Periodic Model Geometries." International Journal of Modern Physics C 08, no. 04 (August 1997): 817–25. http://dx.doi.org/10.1142/s0129183197000709.

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Tracer dispersion is governed by the velocity fluctuations that the particles are subjected to during their movement. The fluctuation of particle velocity is due to deviations from the mean velocity in the flow field and also to the change of the streamline caused by diffusion. The lattice-BGK method is a good tool to investigate the interaction of both of them, because it models the flow field in detail with even small flow structures. A serious drawback of direct simulations are the requirements in computer time and memory. For spatially periodic media, this can be overcome by using the generalized Taylor-dispersion method to calculate the asymptotic effective dispersion from a solution in an elementary cell. This solution is obtained by simulations with an FHP-BGK-lattice gas. Joining the two methods yields a tool to study the effective dispersion constant of a given periodic geometry.
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31

Agrafonov, Yury V., and Ivan S. Petrushin. "Random First Order Transition from a Supercooled Liquid to an Ideal Glass (Review)." Kondensirovannye sredy i mezhfaznye granitsy = Condensed Matter and Interphases 22, no. 3 (September 18, 2020): 291–302. http://dx.doi.org/10.17308/kcmf.2020.22/2959.

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The random first order transition theory (RFOT) describing the transition from a supercooled liquid to an ideal glass has been actively developed over the last twenty years. This theory is formulated in a way that allows a description of the transition from the initial equilibrium state to the final metastable state without considering any kinetic processes. The RFOT and its applications for real molecular systems (multicomponent liquids with various intermolecular potentials, gel systems, etc.) are widely represented in English-language sources. However, these studies are practically not described in any Russian sources. This paper presents an overview of the studies carried out in this field. REFERENCES 1. Sanditov D. S., Ojovan M. I. Relaxation aspectsof the liquid—glass transition. Uspekhi FizicheskihNauk. 2019;189(2): 113–133. DOI: https://doi.org/10.3367/ufnr.2018.04.0383192. Tsydypov Sh. B., Parfenov A. N., Sanditov D. S.,Agrafonov Yu. V., Nesterov A. S. Application of themolecular dynamics method and the excited statemodel to the investigation of the glass transition inargon. Available at: http://www.isc.nw.ru/Rus/GPCJ/Content/2006/tsydypov_32_1.pdf (In Russ.). GlassPhysics and Chemistry. 2006;32(1): 83–88. DOI: https://doi.org/10.1134/S10876596060101113. Berthier L., Witten T. A. Glass transition of densefluids of hard and compressible spheres. PhysicalReview E. 2009;80(2): 021502. DOI: https://doi.org/10.1103/PhysRevE.80.0215024. Sarkisov G. N. Molecular distribution functionsof stable, metastable and amorphous classical models.Uspekhi Fizicheskih Nauk. 2002;172(6): 647–669. DOI:https://doi.org/10.3367/ufnr.0172.200206b.06475. Hoover W. G., Ross M., Johnson K. W., HendersonD., Barker J. A., Brown, B. C. Soft-sphere equationof state. The Journal of Chemical Physics, 1970;52(10):4931–4941. DOI: https://doi.org/10.1063/1.16727286. Cape J. N., Woodcock L. V. Glass transition in asoft-sphere model. The Journal of Chemical Physics,1980;72(2): 976–985. DOI: https://doi.org/10.1063/1.4392177. Franz S., Mezard M., Parisi G., Peliti L. Theresponse of glassy systems to random perturbations:A bridge between equilibrium and off-equilibrium.Journal of Statistical Physics. 1999;97(3–4): 459–488.DOI: https://doi.org/10.1023/A:10046029063328. Marc Mezard and Giorgio Parisi. Thermodynamicsof glasses: a first principles computation. J. of Phys.:Condens. Matter. 1999;11: A157–A165.9. Berthier L., Jacquin H., Zamponi F. Microscopictheory of the jamming transition of harmonic spheres.Physical Review E, 2011;84(5): 051103. DOI: https://doi.org/10.1103/PhysRevE.84.05110310. Berthier L., Biroli, G., Charbonneau P.,Corwin E. I., Franz S., Zamponi F. Gardner physics inamorphous solids and beyond. The Journal of ChemicalPhysics. 2019;151(1): 010901. DOI: https://doi.org/10.1063/1.5097175 11. Berthier L., Ozawa M., Scalliet C. Configurationalentropy of glass-forming liquids. The Journal ofChemical Physics. 2019;150(16): 160902. DOI: https://doi.org/10.1063/1.509196112. Bomont J. M., Pastore G. An alternative schemeto find glass state solutions using integral equationtheory for the pair structure. Molecular Physics.2015;113(17–18): 2770–2775. DOI: https://doi.org/10.1080/00268976.2015.103832513. Bomont J. M., Hansen J. P., Pastore G.Hypernetted-chain investigation of the random firstordertransition of a Lennard-Jones liquid to an idealglass. Physical Review E. 2015;92(4): 042316. DOI:https://doi.org/10.1103/PhysRevE.92.04231614. Bomont J. M., Pastore G., Hansen J. P.Coexistence of low and high overlap phases in asupercooled liquid: An integral equation investigation.The Journal of Chemical Physics. 2017;146(11): 114504.DOI: https://doi.org/10.1063/1.497849915. Bomont J. M., Hansen J. P., Pastore G. Revisitingthe replica theory of the liquid to ideal glass transition.The Journal of Chemical Physics. 2019;150(15): 154504.DOI: https://doi.org/10.1063/1.508881116. Cammarota C., Seoane B. First-principlescomputation of random-pinning glass transition, glasscooperative length scales, and numerical comparisons.Physical Review B. 2016;94(18): 180201. DOI: https://doi.org/10.1103/PhysRevB.94.18020117. Charbonneau P., Ikeda A., Parisi G., Zamponi F.Glass transition and random close packing above threedimensions. Physical Review Letters. 2011;107(18):185702. DOI: https://doi.org/10.1103/PhysRevLett.107.18570218. Ikeda A., Miyazaki K. Mode-coupling theory asa mean-field description of the glass transition.Physical Review Letters. 2010;104(25): 255704. DOI:https://doi.org/10.1103/PhysRevLett.104.25570419. McCowan D. Numerical study of long-timedynamics and ergodic-nonergodic transitions in densesimple fluids. Physical Review E. 2015;92(2): 022107.DOI: https://doi.org/10.1103/PhysRevE.92.02210720. Ohtsu H., Bennett T. D., Kojima T., Keen D. A.,Niwa Y., Kawano M. Amorphous–amorphous transitionin a porous coordination polymer. ChemicalCommunications. 2017;53(52): 7060–7063. DOI:https://doi.org/10.1039/C7CC03333H21. Schmid B., Schilling R. Glass transition of hardspheres in high dimensions. Physical Review E.2010;81(4): 041502. DOI: https://doi.org/10.1103/PhysRevE.81.04150222. Parisi G., Slanina, F. Toy model for the meanfieldtheory of hard-sphere liquids. Physical Review E.2000;62(5): 6554. DOI: https://doi.org/10.1103/Phys-RevE.62.655423. Parisi G., Zamponi F. The ideal glass transitionof hard spheres. The Journal of Chemical Physics.2005;123(14): 144501. DOI: https://doi.org/10.1063/1.204150724. Parisi G., Zamponi F. Amorphous packings ofhard spheres for large space dimension. Journal ofStatistical Mechanics: Theory and Experiment. 2006;03:P03017. DOI: https://doi.org/10.1088/1742-5468/2006/03/P0301725. Parisi G., Procaccia I., Shor C., Zylberg J. Effectiveforces in thermal amorphous solids with genericinteractions. Physical Review E. 2019;99(1): 011001. DOI:https://doi.org/10.1103/PhysRevE.99.01100126. Stevenson J. D., Wolynes P. G. Thermodynamic −kinetic correlations in supercooled liquids: a criticalsurvey of experimental data and predictions of therandom first-order transition theory of glasses. TheJournal of Physical Chemistry B. 2005;109(31): 15093–15097. DOI: https://doi.org/10.1021/jp052279h27. Xia X., Wolynes P. G. Fragilities of liquidspredicted from the random first order transition theoryof glasses. Proceedings of the National Academy ofSciences. 2000;97(7): 2990–2994. DOI: https://doi.org/10.1073/pnas.97.7.299028. Kobryn A. E., Gusarov S., Kovalenko A. A closurerelation to molecular theory of solvation formacromolecules. Journal of Physics: Condensed Matter.2016; 28 (40): 404003. DOI: https://doi.org/10.1088/0953-8984/28/40/40400329. Coluzzi B. , Parisi G. , Verrocchio P.Thermodynamical liquid-glass transition in a Lennard-Jones binary mixture. Physical Review Letters.2000;84(2): 306. DOI: https://doi.org/10.1103/PhysRevLett.84.30630. Sciortino F., Tartaglia P. Extension of thefluctuation-dissipation theorem to the physical agingof a model glass-forming liquid. Physical Review Letters.2001;86(1): 107. DOI: https://doi.org/10.1103/Phys-RevLett.86.10731. Sciortino, F. One liquid, two glasses. NatureMaterials. 2002;1(3): 145–146. DOI: https://doi.org/10.1038/nmat75232. Farr R. S., Groot R. D. Close packing density ofpolydisperse hard spheres. The Journal of ChemicalPhysics. 2009;131(24): 244104. DOI: https://doi.org/10.1063/1.327679933. Barrat J. L., Biben T., Bocquet, L. From Paris toLyon, and from simple to complex liquids: a view onJean-Pierre Hansen’s contribution. Molecular Physics.2015;113(17-18): 2378–2382. DOI: https://doi.org/10.1080/00268976.2015.103184334. Gaspard J. P. Structure of Melt and Liquid Alloys.In Handbook of Crystal Growth. Elsevier; 2015. 580 p.DOI: https://doi.org/10.1016/B978-0-444-56369-9.00009-535. Heyes D. M., Sigurgeirsson H. The Newtonianviscosity of concentrated stabilized dispersions:comparisons with the hard sphere fluid. Journal ofRheology. 2004;48(1): 223–248. DOI: https://doi.org/10.1122/1.163498636. Ninarello A., Berthier L., Coslovich D. Structureand dynamics of coupled viscous liquids. MolecularPhysics. 2015;113(17-18): 2707–2715. DOI: https://doi.org/10.1080/00268976.2015.103908937. Russel W. B., Wagner N. J., Mewis J. Divergencein the low shear viscosity for Brownian hard-spheredispersions: at random close packing or the glasstransition? Journal of Rheology. 2013;57(6): 1555–1567.DOI: https://doi.org/10.1122/1.482051538. Schaefer T. Fluid dynamics and viscosity instrongly correlated fluids. Annual Review of Nuclearand Particle Science. 2014;64: 125–148. DOI: https://doi.org/10.1146/annurev-nucl-102313-02543939. Matsuoka H. A macroscopic model thatconnects the molar excess entropy of a supercooledliquid near its glass transition temperature to itsviscosity. The Journal of Chemical Physics. 2012;137(20):204506. DOI: https://doi.org/10.1063/1.476734840. de Melo Marques F. A., Angelini R., Zaccarelli E.,Farago B., Ruta B., Ruocco, G., Ruzicka B. Structuraland microscopic relaxations in a colloidal glass. SoftMatter. 2015;11(3): 466–471. DOI: https://doi.org/10.1039/C4SM02010C41. Deutschländer S., Dillmann P., Maret G., KeimP. Kibble–Zurek mechanism in colloidal monolayers.Proceedings of the National Academy of Sciences.2015;112(22): 6925–6930. DOI: https://doi.org/10.1073/pnas.150076311242. Chang J., Lenhoff A. M., Sandler S. I.Determination of fluid–solid transitions in modelprotein solutions using the histogram reweightingmethod and expanded ensemble simulations. TheJournal of Chemical Physics. 2004;120(6): 3003–3014.DOI: https://doi.org/10.1063/1.163837743. Gurikov P., Smirnova I. Amorphization of drugsby adsorptive precipitation from supercriticalsolutions: a review. The Journal of Supercritical Fluids.2018;132: 105–125. DOI: https://doi.org/10.1016/j.supflu.2017.03.00544. Baghel S., Cathcart H., O’Reilly N. J. Polymericamorphoussolid dispersions: areviewofamorphization, crystallization, stabilization, solidstatecharacterization, and aqueous solubilization ofbiopharmaceutical classification system class II drugs.Journal of Pharmaceutical Sciences. 2016;105(9):2527–2544. DOI: https://doi.org/10.1016/j.xphs.2015.10.00845. Kalyuzhnyi Y. V., Hlushak S. P. Phase coexistencein polydisperse multi-Yukawa hard-sphere fluid: hightemperature approximation. The Journal of ChemicalPhysics. 2006;125(3): 034501. DOI: https://doi.org/10.1063/1.221241946. Mondal C., Sengupta S. Polymorphism,thermodynamic anomalies, and network formation inan atomistic model with two internal states. PhysicalReview E. 2011;84(5): 051503. DOI: https://doi.org/10.1103/PhysRevE.84.05150347. Bonn D., Denn M. M., Berthier L., Divoux T.,Manneville S. Yield stress materials in soft condensedmatter. Reviews of Modern Physics. 2017;89(3): 035005.DOI: https://doi.org/10.1103/RevModPhys.89.03500548. Tanaka H. Two-order-parameter model of theliquid–glass transition. I. Relation between glasstransition and crystallization. Journal of Non-Crystalline Solids. 2005;351(43-45): 3371–3384. DOI:https://doi.org/10.1016/j.jnoncrysol.2005.09.00849. Balesku R. Ravnovesnaya i neravnovesnayastatisticheskaya mekhanika [Equilibrium and nonequilibriumstatistical mechanics]. Moscow: Mir Publ.;1978. vol. 1. 404 c. (In Russ.)50. Chari S., Inguva R., Murthy K. P. N. A newtruncation scheme for BBGKY hierarchy: conservationof energy and time reversibility. arXiv preprintarXiv: 1608. 02338. DOI: https://arxiv.org/abs/1608.0233851. Gallagher I., Saint-Raymond L., Texier B. FromNewton to Boltzmann: hard spheres and short-rangepotentials. European Mathematical Society.arXiv:1208.5753. DOI: https://arxiv.org/abs/1208.575352. Rudzinski J. F., Noid W. G. A generalized-Yvon-Born-Green method for coarse-grained modeling. TheEuropean Physical Journal Special Topics. 224(12),2193–2216. DOI: https://doi.org/10.1140/epjst/e2015-02408-953. Franz B., Taylor-King J. P., Yates C., Erban R.Hard-sphere interactions in velocity-jump models.Physical Review E. 2016;94(1): 012129. DOI: https://doi.org/10.1103/PhysRevE.94.01212954. Gerasimenko V., Gapyak I. Low-Densityasymptotic behavior of observables of hard spherefluids. Advances in Mathematical Physics. 2018:6252919. DOI: https://doi.org/10.1155/2018/625291955. Lue L. Collision statistics, thermodynamics,and transport coefficients of hard hyperspheres inthree, four, and five dimensions. The Journal ofChemical Physics. 2005;122(4): 044513. DOI: https://doi.org/10.1063/1.183449856. Cigala G., Costa D., Bomont J. M., Caccamo C.Aggregate formation in a model fluid with microscopicpiecewise-continuous competing interactions.Molecular Physics. 2015;113(17–18): 2583–2592.DOI: https://doi.org/10.1080/00268976.2015.107800657. Jadrich R., Schweizer K. S. Equilibrium theoryof the hard sphere fluid and glasses in the metastableregime up to jamming. I. Thermodynamics. The Journalof Chemical Physics. 2013;139(5): 054501. DOI: https://doi.org/10.1063/1.481627558. Mondal A., Premkumar L., Das S. P. Dependenceof the configurational entropy on amorphousstructures of a hard-sphere fluid. Physical Review E.2017;96(1): 012124. DOI: https://doi.org/10.1103/PhysRevE.96.01212459. Sasai M. Energy landscape picture ofsupercooled liquids: application of a generalizedrandom energy model. The Journal of Chemical Physics.2003;118(23): 10651–10662. DOI: https://doi.org/10.1063/1.157478160. Sastry S. Liquid limits: Glass transition andliquid-gas spinodal boundaries of metastable liquids.Physical Review Letters. 2000;85(3): 590. DOI: https://doi.org/10.1103/PhysRevLett.85.59061. Uche O. U., Stillinger F. H., Torquato S. On therealizability of pair correlation functions. Physica A:Statistical Mechanics and its Applications. 2006;360(1):21–36. DOI: https://doi.org/10.1016/j.physa.2005.03.05862. Bi D., Henkes S., Daniels K. E., Chakraborty B.The statistical physics of athermal materials. Annu.Rev. Condens. Matter Phys. 2015;6(1): 63–83. DOI:https://doi.org/10.1146/annurev-conmatphys-031214-01433663. Bishop M., Masters A., Vlasov A. Y. Higher virialcoefficients of four and five dimensional hardhyperspheres. The Journal of Chemical Physics.2004;121(14): 6884–6886. DOI: https://doi.org/10.1063/1.177757464. Sliusarenko O. Y., Chechkin A. V., SlyusarenkoY. V. The Bogolyubov-Born-Green-Kirkwood-Yvon hierarchy and Fokker-Planck equation for manybodydissipative randomly driven systems. Journal ofMathematical Physics. 2015;56(4): 043302. DOI:https://doi.org/10.1063/1.491861265. Tang Y. A new grand canonical ensemblemethod to calculate first-order phase transitions. TheJournal of chemical physics. 2011;134(22): 224508. DOI:https://doi.org/10.1063/1.359904866. Tsednee T., Luchko T. Closure for the Ornstein-Zernike equation with pressure and free energyconsistency. Physical Review E. 2019;99(3): 032130.DOI: https://doi.org/10.1103/PhysRevE.99.03213067. Maimbourg T., Kurchan J., Zamponi, F. Solutionof the dynamics of liquids in the large-dimensionallimit. Physical review letters. 2016;116(1): 015902. DOI:https://doi.org/10.1103/PhysRevLett.116.01590268. Mari, R., & Kurchan, J. Dynamical transition ofglasses: from exact to approximate. The Journal ofChemical Physics. 2011;135(12): 124504. DOI: https://doi.org/10.1063/1.362680269. Frisch H. L., Percus J. K. High dimensionalityas an organizing device for classical fluids. PhysicalReview E. 1999;60(3): 2942. DOI: https://doi.org/10.1103/PhysRevE.60.294270. Finken R., Schmidt M., Löwen H. Freezingtransition of hard hyperspheres. Physical Review E.2001;65(1): 016108. DOI: https://doi.org/10.1103/PhysRevE.65.01610871. Torquato S., Uche O. U., Stillinger F. H. Randomsequential addition of hard spheres in high Euclideandimensions. Physical Review E. 2006;74(6): 061308.DOI: https://doi.org/10.1103/PhysRevE.74.06130872. Martynov G. A. Fundamental theory of liquids;method of distribution functions. Bristol: Adam Hilger;1992, 470 p.73. Vompe A. G., Martynov G. A. The self-consistentstatistical theory of condensation. The Journal ofChemical Physics. 1997;106(14): 6095–6101. DOI:https://doi.org/10.1063/1.47327274. Krokston K. Fizika zhidkogo sostoyaniya.Statisticheskoe vvedenie [Physics of the liquid state.Statistical introduction]. Moscow: Mir Publ.; 1978.400 p. (In Russ.)75. Rogers F. J., Young D. A. New, thermodynamicallyconsistent, integral equation for simple fluids. PhysicalReview A. 1984;30(2): 999. DOI: https://doi.org/10.1103/PhysRevA.30.99976. Wertheim M. S. Exact solution of the Percus–Yevick integral equation for hard spheres Phys. Rev.Letters. 1963;10(8): 321–323. DOI: https://doi.org/10.1103/PhysRevLett.10.32177. Tikhonov D. A., Kiselyov O. E., Martynov G. A.,Sarkisov G. N. Singlet integral equation in thestatistical theory of surface phenomena in liquids. J.of Mol. Liquids. 1999;82(1–2): 3– 17. DOI: https://doi.org/10.1016/S0167-7322(99)00037-978. Agrafonov Yu., Petrushin I. Two-particledistribution function of a non-ideal molecular systemnear a hard surface. Physics Procedia. 2015;71. 364–368. DOI: https://doi.org/10.1016/j.phpro.2015.08.35379. Agrafonov Yu., Petrushin I. Close order in themolecular system near hard surface. Journal of Physics:Conference Series. 2016;747: 012024. DOI: https://doi.org/10.1088/1742-6596/747/1/01202480. He Y., Rice S. A., Xu X. Analytic solution of theOrnstein-Zernike relation for inhomogeneous liquids.The Journal of Chemical Physics. 2016;145(23): 234508.DOI: https://doi.org/10.1063/1.497202081. Agrafonov Y. V., Petrushin I. S. Usingmolecular distribution functions to calculate thestructural properties of amorphous solids. Bulletinof the Russian Academy of Sciences: Physics. 2020;84:783–787. DOI: https://doi.org/10.3103/S106287382007003582. Bertheir L., Ediger M. D. How to “measure” astructural relaxation time that is too long to bemeasured? arXiv:2005.06520v1. DOI: https://arxiv.org/abs/2005.0652083. Karmakar S., Dasgupta C., Sastry S. Lengthscales in glass-forming liquids and related systems: areview. Reports on Progress in Physics. 2015;79(1):016601. DOI: https://doi.org/10.1088/0034-4885/79/1/01660184. De Michele C., Sciortino F., Coniglio A. Scalingin soft spheres: fragility invariance on the repulsivepotential softness. Journal of Physics: CondensedMatter. 2004;16(45): L489. DOI: https://doi.org/10.1088/0953-8984/16/45/L0185. Niblett S. P., de Souza V. K., Jack R. L., Wales D. J.Effects of random pinning on the potential energylandscape of a supercooled liquid. The Journal ofChemical Physics. 2018;149(11): 114503. DOI: https://doi.org/10.1063/1.504214086. Wolynes P. G., Lubchenko V. Structural glassesand supercooled liquids: Theory, experiment, andapplications. New York: John Wiley & Sons; 2012. 404p. DOI: https://doi.org/10.1002/978111820247087. Jack R. L., Garrahan J. P. Phase transition forquenched coupled replicas in a plaquette spin modelof glasses. Physical Review Letters. 2016;116(5): 055702.DOI: https://doi.org/10.1103/PhysRevLett.116.05570288. Habasaki J., Ueda A. Molecular dynamics studyof one-component soft-core system: thermodynamicproperties in the supercooled liquid and glassy states.The Journal of Chemical Physics. 2013;138(14): 144503.DOI: https://doi.org/10.1063/1.479988089. Bomont J. M., Hansen J. P., Pastore G. Aninvestigation of the liquid to glass transition usingintegral equations for the pair structure of coupledreplicae. J. Chem. Phys. 2014;141(17): 174505. DOI:https://doi.org/10.1063/1.490077490. Parisi G., Urbani P., Zamponi F. Theory of SimpleGlasses: Exact Solutions in Infinite Dimensions.Cambridge: Cambridge University Press; 2020. 324 p.DOI: https://doi.org/10.1017/978110812049491. Robles M., López de Haro M., Santos A., BravoYuste S. Is there a glass transition for dense hardspheresystems? The Journal of Chemical Physics.1998;108(3): 1290–1291. DOI: https://doi.org/10.1063/1.47549992. Grigera T. S., Martín-Mayor V., Parisi G.,Verrocchio P. Asymptotic aging in structural glasses.Physical Review B, 2004;70(1): 014202. DOI: https://doi.org/10.1103/PhysRevB.70.01420293. Vega C., Abascal J. L., McBride C., Bresme F.The fluid–solid equilibrium for a charged hard spheremodel revisited. The Journal of Chemical Physics.2003; 119 (2): 964–971. DOI: https://doi.org/10.1063/1.157637494. Kaneyoshi T. Surface amorphization in atransverse Ising nanowire; effects of a transverse field.Physica B: Condensed Matter. 2017;513: 87–94. DOI:https://doi.org/10.1016/j.physb.2017.03.01595. Paganini I. E., Davidchack R. L., Laird B. B.,Urrutia I. Properties of the hard-sphere fluid at a planarwall using virial series and molecular-dynamicssimulation. The Journal of Chemical Physics. 2018;149(1):014704. DOI: https://doi.org/10.1063/1.502533296. Properzi L., Santoro M., Minicucci M., Iesari F.,Ciambezi M., Nataf L., Di Cicco A. Structural evolutionmechanisms of amorphous and liquid As2 Se3 at highpressures. Physical Review B. 2016;93(21): 214205. DOI:https://doi.org/10.1103/PhysRevB.93.21420597. Sesé L. M. Computational study of the meltingfreezingtransition in the quantum hard-sphere systemfor intermediate densities. I. Thermodynamic results.The Journal of Chemical Physics. 2007;126(16): 164508.DOI: https://doi.org/10.1063/1.271852398. Shetty R., Escobedo F. A. On the application ofvirtual Gibbs ensembles to the direct simulation offluid–fluid and solid–fluid phase coexistence. TheJournal of Chemical Physics. 2002;116(18): 7957–7966.DOI: https://doi.org/10.1063/1.1467899
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32

Schertzer, D., and E. Falgarone. "MFGA-IDT2 workshop: Astrophysical and geophysical fluid mechanics: the impact of data on turbulence theories." Nonlinear Processes in Geophysics 3, no. 4 (December 31, 1996): 229–30. http://dx.doi.org/10.5194/npg-3-229-1996.

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Abstract. 1 Facts about the Workshop This workshop was convened on November 13-15 1995 by E. Falgarone and D. Schertzer within the framework of the Groupe de Recherche Mecanique des Fluides Geophysiques et Astrophysiques (GdR MFGA, Research Group of Geophysical and Astrophysical Fluid Mechanics) of Centre National de la Recherche Scientifique (CNRS, (French) National Center for Scientific Research). This Research Group is chaired by A. Babiano and the meeting was held at Ecole Normale Superieure, Paris, by courtesy of its Director E. Guyon. More than sixty attendees participated to this workshop, they came from a large number of institutions and countries from Europe, Canada and USA. There were twenty-five oral presentations as well as a dozen posters. A copy of the corresponding book of abstracts can be requested to the conveners. The theme of this meeting is somewhat related to the series of Nonlinear Variability in Geophysics conferences (NVAG1, Montreal, Aug. 1986; NVAG2, Paris, June 1988; NVAG3, Cargese (Corsica), September, 1993), as well as seven consecutive annual sessions at EGS general assemblies and two consecutive spring AGU meeting sessions devoted to similar topics. One may note that NVAG3 was a joint American Geophysical Union Chapman and European Geophysical Society Richardson Memorial conference, the first topical conference jointly sponsored by the two organizations. The corresponding proceedings were published in a special NPG issue (Nonlinear Processes in Geophysics 1, 2/3, 1994). In comparison with these previous meetings, MFGA-IDT2 is at the same time specialized to fluid turbulence and its intermittency, and an extension to the fields of astrophysics. Let us add that Nonlinear Processes in Geophysics was readily chosen as the appropriate journal for publication of these proceedings since this journal was founded in order to develop interdisciplinary fundamental research and corresponding innovative nonlinear methodologies in Geophysics. It had an appropriate editorial structure, in particular a large number of editors covering a wide range of methodologies, expertises and schools. At least two of its sections (Scaling and Multifractals, Turbulence and Diffusion) were directly related to the topics of the workshop, in any case contributors were invited to choose their editor freely. 2 Goals of the Workshop The objective of this meeting was to enhance the confrontation between turbulence theories and empirical data from geophysics and astrophysics fluids with very high Reynolds numbers. The importance of these data seems to have often been underestimated for the evaluation of theories of fully developed turbulence, presumably due to the fact that turbulence does not appear as pure as in laboratory experiments. However, they have the great advantage of giving access not only to very high Reynolds numbers (e.g. 1012 for atmospheric data), but also to very large data sets. It was intended to: (i) provide an overview of the diversity of potentially available data, as well as the necessary theoretical and statistical developments for a better use of these data (e.g. treatment of anisotropy, role of processes which induce other nonlinearities such as thermal instability, effect of magnetic field and compressibility ... ), (ii) evaluate the means of discriminating between different theories (e.g. multifractal intermittency models) or to better appreciate the relevance of different notions (e.g. Self-Organized Criticality) or phenomenology (e.g. filaments, structures), (iii) emphasise the different obstacles, such as the ubiquity of catastrophic events, which could be overcome in the various concerned disciplines, thanks to theoretical advances achieved. 3 Outlines of the Workshop During the two days of the workshop, the series of presentations covered many manifestations of turbulence in geophysics, including: oceans, troposphere, stratosphere, very high atmosphere, solar wind, giant planets, interstellar clouds... up to the very large scale of the Universe. The presentations and the round table at the end of the workshop pointed out the following: - the necessity of this type of confrontation which makes intervene numerical simulations, laboratory experiments, phenomenology as well as a very large diversity of geophysical and astrophysical data, - presumably a relative need for new geophysical data, whereas there have been recent astrophysical experiments which yield interesting data and exciting questions; - the need to develop a closer intercomparison between various intermittency models (in particular Log-Poisson /Log Levy models). Two main questions were underlined, in particular during the round table: - the behaviour of the extremes of intermittency, in particular the question of divergence or convergence of the highest statistical moments (equivalently, do the probability distributions have algebraic or more rapid falloffs?); - the extension of scaling ranges; in other words do we need to divide geophysics and astrophysics in many small (nearly) isotropic subranges or is it sufficient to use anisotropic scaling notions over wider ranges? 4 The contributions in this special issue Recalling that some of the most useful insights into the nature of turbulence in fluids have come from observations of geophysical flows, Van Atta gives a review of the impacts of geophysical turbulence data into theories. His paper starts from Taylor's inference of the nearly isotropy of atmospheric turbulence and the corresponding elegant theoretical developments by von Karman of the theory of isotropic turbulence, up to underline the fact that the observed extremely large intermittency in geophysical turbulence also raised new fundamental questions for turbulence theory. The paper discusses the potential contribution to theoretical development from the available or currently being made geophysical turbulence measurements, as well as from some recent laboratory measurements and direct numerical simulations of stably stratified turbulent shear flows. Seuront et al. consider scaling and multiscaling properties of scalar fields (temperature and phytoplankton concentration) advected by oceanic turbulence in both Eulerian and Lagrangian frameworks. Despite the apparent complexity linked to a multifractal background, temperature and fluorescence (i.e. phytoplankton biomass surrogate) fields are expressed over a wide range of scale by only three universal multifractal parameters, H, \\alpha and C_l. On scales smaller than the characteristic scale of the ship, sampling is rather Eulerian. On larger scales, the drifting platform being advected by turbulent motions, sampling may be rather considered as Lagrangian. Observed Eulerian and Lagrangian universal multifractal properties of the physical and biological fields are discussed. Whereas theoretical models provide different scaling laws for fluid and MHD turbulent flows, no attempt has been done up to now to experimentally support evidence for these differences. Carbone et al. use measurements from the solar wind turbulence and from turbulence in ordinary fluid flows, in order to assess these differences. They show that the so-called Extended Self-Similarity (ESS) is evident in the solar wind turbulence up to a certain scale. Furthermore, up to a given order of the velocity structure functions, the scaling laws of MHD and fluids flows axe experimentally indistinguishable. However, differences can be observed for higher orders and the authors speculate on their origin. Dudok de Wit and Krasnosel'skikh present analysis of strong plasma turbulence in the vicinity of the Earth's bow shock with the help of magnetometer data from the AMPTE UKS satellite. They demonstrate that there is a departure from Gaussianity which could be a signature of multifractality. However, they point out that the complexity of plasma turbulence precludes a more quantitative understanding. Finally, the authors emphasise the fact that the duration of records prevents to obtain any reliable estimate of structure functions beyond the fourth order. Sylos Labini and Pietronero discuss the problem of galaxy correlations. They conclude from all the recently available three dimensional catalogues that the distribution of galaxies and clusters is fractal with dimension D ~ 2 up to the present observational limits without any tendency towards homogenization. This result is discussed in contrast to angular data analysis. Furthermore, they point out that the galaxy-cluster mismatch disappears when considering a multifractal distribution of matter. They emphasise that a new picture emerges which changes the standard ideas about the properties of the universe and requires a corresponding change in the related theoretical concepts. Chilla et al. investigate with the help of a laboratory experiment the possible influence of the presence of a large scale structure on the intermittency of small scale structures. They study a flow between coaxial co-rotating disks generating a strong axial vortex over a turbulent background. They show that the cascade process is preserved although strongly modified and they discuss the relevance of parameters developed for the description of intermittency in homogeneous turbulence to evaluate this modification.
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33

Hazzledine, P. M., and S. I. Rao. "Yield Stress of Nano- and Micro- Multilayers." MRS Proceedings 434 (1996). http://dx.doi.org/10.1557/proc-434-135.

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AbstractAn outline theory is given for the strengthening in polycrystalline and ‘single crystal’ multilayers. The model is based on the Hall-Petch theory applied to both the soft mode (in plane) and hard mode (cross plane) of deformation. In this theory the parameters to be evaluated are a Taylor factor M, the shear stress τ0 to move a dislocation within a multilayer and τ*, the shear stress needed to push a dislocation over a grain or interphase boundary. All three parameters are material- specific and attention is focussed on coherent multilayers of γ TiAl with micron thick layers and Cu-Ni with nanometer thick layers. M and some components of τ* are estimated classically. The remaining components of τ* and some components of τ0 are estimated from embedded atom simulations. The model captures the main experimental facts, that γTiAl is plastically very anisotropic with a rising yield stress as the lamellar thickness is refined and that Cu-Ni displays a peak in the yield stress at a layer thickness of approximately 10nm.
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34

Zhu, Linli, Xiang Guo, and Jian Lu. "Surface Stress Effects on the Yield Strength in Nanotwinned Polycrystal Face-Centered-Cubic Metallic Nanowires." Journal of Applied Mechanics 81, no. 10 (August 5, 2014). http://dx.doi.org/10.1115/1.4028039.

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The influence of surface stress on the yield strength of nanotwinned polycrystal face-centered-cubic (FCC) metallic nanowire is theoretically investigated. The contribution of surface boundaries on the strengthening/softening is analyzed in the framework of continuum mechanics theory by accounting for the surface energy effects. The other strengthening mechanisms originated from the inner boundaries are described by the Taylor model for the nanotwinned polycrystalline metals. The theoretical results demonstrate that the yield strength of nanotwinned polycrystal wires is dependent on the twin spacing, grain size and the geometrical size of the wire. The surface stress effects on the strength perform more and more significantly with decreasing the wire diameter, especially for the diameter smaller than 20 nm. In addition, the dependence of surface stress on the strength is also relevant to the size of microstructures as well as the magnitude and direction of surface stress. These results may be useful in evaluating the size-dependent mechanical performance of nanostructured materials.
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35

Wang, Youneng, Jeffrey W. Kysar, Sinisa Vukelic, and Y. Lawrence Yao. "Spatially Resolved Characterization of Geometrically Necessary Dislocation Dependent Deformation in Microscale Laser Shock Peening." Journal of Manufacturing Science and Engineering 131, no. 4 (July 15, 2009). http://dx.doi.org/10.1115/1.3160370.

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As the laser spot size in microscale laser shock peening is in the order of magnitude of several microns, the anisotropic response of grains will have a dominant influence on its mechanical behavior of the target material. Furthermore, conventional plasticity theory employed in previous studies needs to be re-examined due to the length scale effect. In the present work, the length scale effects in microscale laser shock peening have been investigated. The crystal lattice rotation underneath the shocked surface was determined via electron backscatter diffraction. From these measurements, the geometrically necessary dislocation (GND) density that the material contains has been estimated. The yield strength increment was then calculated from the GND distribution by using the Taylor model and integrated into each material point of the finite element method (FEM) simulation. Finite element simulations, based on single crystal plasticity, were performed for the process both with and without considering the GND hardening, and the comparison has been conducted.
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36

Leblond, Jean-Baptiste, and Léo Morin. "Gurson's Criterion and Its Derivation Revisited." Journal of Applied Mechanics 81, no. 5 (January 7, 2014). http://dx.doi.org/10.1115/1.4026112.

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This paper revisits Gurson's (Gurson, A., 1975, “Plastic Flow and Fracture Behavior of Ductile Materials Incorporating Void Nucleation, Growth, and Interaction,” Ph.D. thesis, Brown University, Rhode Island; Gurson, 1977, “Continuum Theory of Ductile Rupture by Void Nucleation and Growth: Part I—Yield Criteria and Flow Rules for Porous Ductile Media,” ASME J. Eng. Mater. Technol., 99, pp. 2–15) classical limit-analysis of a hollow sphere made of some ideal-plastic von Mises material and subjected to conditions of homogeneous boundary strain rate (Mandel (Mandel, J., 1964, “Contribution Theorique a l'Etude de l'Ecrouissage et des Lois d'Ecoulement Plastique,” Proceedings of the 11th International Congress on Applied Mechanics, Springer, New York, pp. 502–509) and Hill (Hill, R., 1967, “The Essential Structure of Constitutive Laws for Metal Composites and Polycrystals,” J. Mech. Phys. Solids, 15, pp. 79–95)). Special emphasis is placed on successive approximations of the overall dissipation, based on a Taylor expansion of one term appearing in the integral defining it. Gurson considered only the approximation based on the first-order expansion, leading to his well-known homogenized criterion; higher-order approximations are considered here. The most important result is that the correction brought by the second-order approximation to the first-order one is significant for the porosity rate, if not for the overall yield criterion. This bears notable consequences upon the prediction of ductile damage under certain conditions.
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37

Chen, Changkai, Xiaohua Zhang, Zhang Liu, and Yage Zhang. "A new high-order compact finite difference scheme based on precise integration method for the numerical simulation of parabolic equations." Advances in Difference Equations 2020, no. 1 (January 7, 2020). http://dx.doi.org/10.1186/s13662-019-2484-7.

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AbstractThis paper presents two high-order exponential time differencing precise integration methods (PIMs) in combination with a spatially global sixth-order compact finite difference scheme (CFDS) for solving parabolic equations with high accuracy. One scheme is a modification of the compact finite difference scheme of precise integration method (CFDS-PIM) based on the fourth-order Taylor approximation and the other is a modification of the CFDS-PIM based on a $(4,4)$(4,4)-Padé approximation. Moreover, on coupling with the Strang splitting method, these schemes are extended to multi-dimensional problems, which also have fast computational efficiency and high computational accuracy. Several numerical examples are carried out in order to demonstrate the performance and ability of the proposed schemes. Numerical results indicate that the proposed schemes improve remarkably the computational accuracy rather than the empirical finite difference scheme. Moreover, these examples show that the CFDS-PIM based on the fourth-order Taylor approximation yields more accurate results than the CFDS-PIM based on the $(4,4)$(4,4)-Padé approximation.
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38

"Dispersion of chemical solutes in chromatographs and reactors." Philosophical Transactions of the Royal Society of London. Series A: Physical and Engineering Sciences 351, no. 1695 (April 15, 1995): 39–75. http://dx.doi.org/10.1098/rsta.1995.0025.

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The dispersion of a chemically active solute in unidirectional laminar flow in a channel of constant cross-sectional area is considered. Adsorption/desorption of the solute at the wall or the presence of a bulk or surface chemical reaction introduce additional timescales, in addition to the diffusive and convective ones, such that, under certain conditions, the asymptotic evolution of the cross-sectional mean concentration cannot be described by a one-dimensional Taylor-Aris model. We use the centre and invariant manifold theories to establish the proper time and length scale separations necessary for the existence of an effective transport equation and to determine the dependence of the effective transport coefficients on the kinetics of adsorption/desorption and reaction. For the case of classical Taylor-Aris dispersion with no reaction, we derive the effective transport equation to infinite order in the parameter, p , representing the ratio of the characteristic time for radial molecular diffusion to that for axial convection. We show that the infinite series in the effective transport model is convergent provided p is smaller than some critical value, which depends on the initial concentration distribution. We also examine the spatial evolution of time dependent inlet conditions and show that the spatial and temporal evolutions differ at third and higher orders. It is shown that, except for slow reactions with a kinetic timescale of the same order as the transverse diffusion time, fast bulk reaction does not allow an asymptotic axial dispersion description. Slow bulk reactions do not affect dispersion but a correction to the apparent kinetics may arise due to nonlinear interaction among reaction, diffusion and convection. It is also shown that with a slow bulk reaction, steady-state dispersion due to a coupling of reaction and transverse velocity gradient can arise. Although this mechanism is distinct from the transient Taylor—Aris mechanism, the dispersion coefficient is identical to the classical unreactive Taylor—Aris coefficient. Surface reaction of any speed yields the proper asymptotic behaviour in time because the species still needs to diffuse slowly to the conduit wall. In the limit of fast surface reaction, the Taylor-Aris dispersion coefficient is reduced by a factor of 4.2, 7.1 and 4.0 for pipe, plane Poiseuille and Couette flows, respectively, as the slow-moving solutes near the wall are depleted. For the case of a linear surface reaction, we use the invariant manifold theory to derive the effective transport equation to infinite order. We also show that the radius of convergence of the invariant manifold expansion is approximately three times that of the no reaction case. We demonstrate that if adsorption/desorption is as slow as transverse diffusion an adsorption-induced dispersion, distinct from the Taylor-Aris shear dispersion, exists. While the total dispersion may increase because of the contribution of both, the Taylor-Aris component is reduced by a physical mechanism similar to surface reaction. The adsorption/desorption induced dispersion coefficient is shown to have a maximum when the adsorption equilibrium constant is exactly 2. Nonlinear Langmuir type adsorption at large concentration is shown to introduce a nonlinear drift term which causes non-Gaussian pulse responses with long tails These tails are detrimental to separation chromatography since they cause overlaps which increase with the length of the chromatograph
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39

Culver, Carody, and Amy Vuleta. "Suspicion." M/C Journal 15, no. 1 (February 27, 2012). http://dx.doi.org/10.5204/mcj.460.

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The “Suspicion” issue of M/C Journal explores suspicion as both critical approach and cultural concept, inviting us to engage with its interpretive potential in a world where mistrust has become the norm. Contemporary Western culture is characterised by a climate of increased border security and surveillance, especially since 9/11. Judith Butler identifies an increase in paranoia and censorship associated with these factors, which has greatly affected freedom of speech, politics, the press, and what constitutes the public sphere. These shifts have had considerable impact on how we relate to words and images. In such a culture of distrust—of authority, of politics, and of supposed objective truth—how revealing or misleading is suspicion as a critical methodology? This issue of M/C Journal attempts to unravel that question; although it promises no answers, what it does offer is insight into the complexities of using suspicion to critique a range of texts, not all of which lend themselves so easily to a suspicious reading. The hermeneutics of suspicion, an approach introduced by Paul Ricoeur, assumes that the manifest or surface meaning of a text is a veil that masks its true agenda. As a critical approach, suspicion reads against the text, calling into question the authenticity of representation. The essays collected here use suspicion to explore contemporary fiction, film, and imagery, attempting not only to expose their hidden meanings, but to uncover the perspicacity of the suspicious approach itself. In her feature paper, “Critique and the Hermeneutics of Suspicion,” Rita Felski discusses the place of suspicion in contemporary critical theory, questioning its neglect in favour of critique, which is deemed more “intellectually rigorous” and less prone to the potential pitfalls of subjectivity. Felski challenges us to reconsider this view, positing that the “muted affective state” of suspicion may offer “an antidote to the charisma of critique,” bringing an element of pleasure and “game-like sparring” to the process of analysing a text. Felski acknowledges that “contemporary styles of critical argument are affective as well as analytical, conjuring up distinctive dispositions and relations to their object.” And indeed each of the articles in this collection are concerned, across a range of disciplines, with a text’s potential to elicit an affective response, whether from within a text, outside of it, or from some uncertain position in between.Suspicion can draw us into a text and force us to think more deeply about it, even as that text may seem to evade a suspicious reading. In “‘There’s Suspicion, Nothing More’: Suspicious Readings of Michael Haneke’s Cache,” Alison Taylor discusses Haneke’s challenging 2005 film, which presents viewers with a conundrum that has no resolution. Although the film invites a suspicious reading as we follow the attempts of the protagonist, Georges, to discover who is responsible for making surveillance tapes of his home, the culprit is never identified; our suspicion is both pre-empted and never resolved. Taylor charts a frustrated suspicious response on the part of the film’s audience, its critics, scholars, and even its characters, and argues that the film is in fact a critique of the interpretive process, as it plays with and upends the expectations of the viewer.Niva Kaspi similarly questions the interpretive process, as she investigates the source of narrative suspicion towards a terrorist/victim discourse in Don DeLillo’s post 9/11 novel, Falling Man, for readers and characters alike. In “Bill Lawton by Any Other Name: Language Games and Terror in Falling Man,” Kaspi suggests that the way the text plays with language, naming and re-naming the terrorist-suspect—bin Laden is misheard by the protagonist’s son and his friends, the Siblings, and misnamed Bill Lawton—and other “tricks” and “errors,” activates our suspicion, so that “the reader, after a while, distances somewhat from the text, scanning for alternative possibilities and approaching interpretation with a tentative sense of doubt.” We come to view the printed text with suspicion, and hence question our responses to the hyper-public, press-mediated discourses that followed the events of 9/11. Nick Levey’s “‘Analysis Paralysis’: Suspicion, Trust, and David Foster Wallace’s ‘Wager’” explores how Wallace’s work deliberately evades decoding and interpretation, asking us to consider how fruitful the opposite approach to suspicion—trust—may be in light of how few answers the book yields. Infinite Jest itself poses a critique of suspicion, as only the characters in the novel who do not question their surroundings and circumstances achieve any sort of closure. Levey’s paper examines Wallace’s concern with “the existential implications of suspicion, in what might be lost in following doubt to its most ‘radical’ conclusions.” The existential implications of suspicion are further explored in Sarah Richardson’s analysis of Alison Bechdel’s autobiographical graphic novel Fun Home, “‘Old Father, Old Artificer’: Queering Suspicion in Alison Bechdel’s Fun Home.” Bechdel’s graphic memoir charts her relationship with her troubled father, who hid his homosexuality behind “a veneer of perfect provincial Christian fatherhood and respectability.” Although Bechdel initially interprets her father’s history suspiciously, she moves towards a “positive queering of her family history and the embrace of her father’s legacy.” Thus Bechdel’s turn away from suspicion is restorative and ultimately creative.Nicola Scholes, on the other hand, explores the dilemma in facing a text that turns deliberately and self-consciously towards suspicion. In “The Difficulty of Reading Allen Ginsberg’s ‘Kaddish’ Suspiciously,” Scholes identifies the challenge of seeking hidden meanings in Ginsberg’s poem due to its self-exposing nature. Contrary to the potential a hermeneutic of suspicion has to expose and reveal hidden truths, “Kaddish” blatantly “parades its unpalatable truths.” However Scholes argues that a suspicious reading of “Kaddish” is still possible; indeed, it can mine the poem’s depths even further, “resisting its self-inscribed psychoanalysis to expose the gender politics of Allen’s exposé.”Gender and sexuality may infinitely complicate or subvert suspicious analysis, as two papers in this issue aptly demonstrate. Samantha Lindop’s “The Homme Fatal and the Subversion of Suspicion in Mr Brooks and The Killer Inside Me” explores the oft-neglected figure of the homme fatal, questioning whether we can regard this figure with the same suspicion-grounded psychoanalytic perspective typically applied to the femme fatale of classic film noir. Focusing on neo-noir films Mr Brooks and The Killer Inside Me, Lindop exposes the homme fatal as a figure who subverts the suspicious gaze with his self-reflexive knowledge of Freudian theory. By contrast, the female protagonist in crime fiction is a figure who attracts suspicion on a number of narrative levels. As Katherine Howell argues in “The Suspicious Figure of the Female Forensic Pathologist Investigator in Crime Fiction,” female forensic pathologists in novels by popular crime writers Patricia Cornwell and Tess Gerritsen are portrayed as suspicious not simply for their performance of conventionally masculine gender roles—that of investigator and pathologist—but for their identification with the dead. These characters occupy abject space—they exist on the borderlines of life and death, self and other, masculine and feminine—and are thus coded as suspect from within the text.As the innately suspicious atmosphere of crime fiction and film noir brings us face to face with issues of morality and mortality, so too does Florian Henckel von Donnersmarck’s 2007 film The Lives of Others, which draws on the recent history of East Germany under Stasi rule. In her paper “Love in the Time of Socialism: Negotiating the Personal and the Social in Florian Henckel von Donnersmarck’s The Lives of Others,” Rowena Grant-Frost explores the film’s blurring of public and private—a boundary that depends on the climate of suspicion created by the Stasi as a form of State control. Through focusing on the film’s love story rather than its social milieu, Grant-Frost discusses the “affective experiences associated with constant surveillance,” suggesting this as a means for “contrasting and critiquing the way in which surveillance, power, and control operate.”But can an understanding of the suspicion at the heart of systems of surveillance, power, and control that so pervade our contemporary world help to develop our moral awareness? Chari Larsson’s “Suspicious Images: Iconophobia and the Ethical Gaze” asks what happens when the images we are constantly exposed to in our media-saturated culture transgress and violates limits, and when, as spectators, we have an ethical and moral responsibility to bear witness. Considering the relationship between iconophobia—suspicion of, and anxiety towards, images—and spectatorship, Larsson draws on art critic Georges Didi-Huberman’s discussion of the prohibition of Holocaust representation, and extrapolates his insights to analyse Laura Waddington’s 2004 film, Border, about asylum seekers in Northern France. Larsson suggests that both Didi-Huberman and Waddington argue for a model of spectatorship that undermines the relationship between viewer and image, so that “the terms of spectatorship may be relocated from suspicion to an ethical, participatory mode of engagement.”Perhaps, in the end, distrust is all we can trust as we attempt to decode the meaning of any text. What seems most important is for us to understand how to apply suspicion wisely; as the papers in this issue demonstrate, suspicious readings do not simply attempt to expose hidden meanings, but reconnect us with the pleasures of that discovery process, and equip us with the self-reflexive ability to question both a text and the efficacy of our approach to it. As Felski points out, while critique lets us sweep away a text’s surface and suspicion asks us to mine its depths, both approaches call for a “knowingness, guardedness, suspicion and vigilance” that offers new insights and prompts us to think more critically, more deeply, and more fruitfully.This issue of M/C Journal was inspired by the “Reading the Suspect” Work in Progress Conference for which Rita Felski delivered the keynote address at the University of Queensland in July 2010. ReferencesButler, Judith. Precarious Life: The Powers of Mourning and Violence. London: Verso. 2004.Felski, Rita. "Suspicious Minds." "Reading the Suspect": 14th Work-In-Progress Conference. University of Queensland. St Lucia, Qld. 30 July 2010. Keynote Address. Ricoeur, Paul. Freud and Philosophy: An Essay on Interpretation. Trans. Denis Savage. New Haven: Yale U P, 1970. 32–56.
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