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Journal articles on the topic 'Mori formalism'

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Published: 4 June 2021
Last updated: 5 February 2022

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1

Ayik, S. "Nuclear response function in the Mori formalism." Physical Review Letters 56, no. 1 (January 6, 1986): 38–41. http://dx.doi.org/10.1103/physrevlett.56.38.

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2

Hijón, Carmen, Pep Español, Eric Vanden-Eijnden, and Rafael Delgado-Buscalioni. "Mori–Zwanzig formalism as a practical computational tool." Faraday Discuss. 144 (2010): 301–22. http://dx.doi.org/10.1039/b902479b.

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3

Joslin, C. G., and C. G. Gray. "Calculation of transport coefficients using a modified Mori formalism." Molecular Physics 58, no. 4 (July 1986): 789–97. http://dx.doi.org/10.1080/00268978600101571.

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4

Pires, A. S. T., and M. E. Gouvêa. "Comparing the Mori formalism and the green function methods." Brazilian Journal of Physics 34, no. 3b (September 2004): 1189–92. http://dx.doi.org/10.1590/s0103-97332004000600009.

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5

Joslin, C. G., and C. G. Gray. "Calculation of transport coefficients using a modified Mori formalism." Molecular Physics 66, no. 4 (March 1989): 757–65. http://dx.doi.org/10.1080/00268978900100501.

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6

Givon, Dror, Raz Kupferman, and Ole H. Hald. "Existence proof for orthogonal dynamics and the Mori-Zwanzig formalism." Israel Journal of Mathematics 145, no. 1 (December 2005): 221–41. http://dx.doi.org/10.1007/bf02786691.

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7

Wang, Shu, Zhen Li, and Wenxiao Pan. "Correction: Implicit-solvent coarse-grained modeling for polymer solutions via Mori–Zwanzig formalism." Soft Matter 15, no. 38 (2019): 7733. http://dx.doi.org/10.1039/c9sm90180a.

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8

Falkena, Swinda K. J., Courtney Quinn, Jan Sieber, Jason Frank, and Henk A. Dijkstra. "Derivation of delay equation climate models using the Mori-Zwanzig formalism." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 475, no. 2227 (July 2019): 20190075. http://dx.doi.org/10.1098/rspa.2019.0075.

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Models incorporating delay have been frequently used to understand climate variability phenomena, but often the delay is introduced through an ad hoc physical reasoning, such as the propagation time of waves. In this paper, the Mori-Zwanzig formalism is introduced as a way to systematically derive delay models from systems of partial differential equations and hence provides a better justification for using these delay-type models. The Mori-Zwanzig technique gives a formal rewriting of the system using a projection onto a set of resolved variables, where the rewritten system contains a memory term. The computation of this memory term requires solving the orthogonal dynamics equation, which represents the unresolved dynamics. For nonlinear systems, it is often not possible to obtain an analytical solution to the orthogonal dynamics and an approximate solution needs to be found. Here, we demonstrate the Mori-Zwanzig technique for a two-strip model of the El Niño Southern Oscillation (ENSO) and explore methods to solve the orthogonal dynamics. The resulting nonlinear delay model contains an additional term compared to previously proposed ad hoc conceptual models. This new term leads to a larger ENSO period, which is closer to that seen in observations.
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9

Hudson, Thomas, and Xingjie H. Li. "Coarse-Graining of Overdamped Langevin Dynamics via the Mori--Zwanzig Formalism." Multiscale Modeling & Simulation 18, no. 2 (January 2020): 1113–35. http://dx.doi.org/10.1137/18m1222533.

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10

Wang, Shu, Zhen Li, and Wenxiao Pan. "Implicit-solvent coarse-grained modeling for polymer solutions via Mori-Zwanzig formalism." Soft Matter 15, no. 38 (2019): 7567–82. http://dx.doi.org/10.1039/c9sm01211g.

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11

Montoya-Castillo, Andrés, and David R. Reichman. "Approximate but accurate quantum dynamics from the Mori formalism: I. Nonequilibrium dynamics." Journal of Chemical Physics 144, no. 18 (May 14, 2016): 184104. http://dx.doi.org/10.1063/1.4948408.

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12

Lin, Kevin K., and Fei Lu. "Data-driven model reduction, Wiener projections, and the Koopman-Mori-Zwanzig formalism." Journal of Computational Physics 424 (January 2021): 109864. http://dx.doi.org/10.1016/j.jcp.2020.109864.

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13

Li, Zhen, Xin Bian, Xiantao Li, and George Em Karniadakis. "Incorporation of memory effects in coarse-grained modeling via the Mori-Zwanzig formalism." Journal of Chemical Physics 143, no. 24 (December 28, 2015): 243128. http://dx.doi.org/10.1063/1.4935490.

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14

Katouzian, Mostafa, and Sorin Vlase. "Mori–Tanaka Formalism-Based Method Used to Estimate the Viscoelastic Parameters of Laminated Composites." Polymers 12, no. 11 (October 26, 2020): 2481. http://dx.doi.org/10.3390/polym12112481.

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The paper establishes the mechanical properties of a viscoelastic composite material reinforced with fibers, where the fiber is transverse isotropic and the matrix is isotropic (a common case met in engineering practice). A computation method using the Mori–Tanaka mean field method has been developed in order to apply on viscoelastic materials. Using this procedure, the time-dependent response of a viscoelastic composite material can be determined. Schapery’s nonlinear constitutive equation is also used in the compliance matrix determination of the composite material under investigation. Nonlinearity factors were determined by creep tests at different values of stresses and temperatures and for different materials, based on the least squares method. The results obtained experimentally and their comparison with the theoretically obtained values show a good agreement between experiment and calculation.
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15

Montoya-Castillo, Andrés, and David R. Reichman. "Approximate but accurate quantum dynamics from the Mori formalism. II. Equilibrium time correlation functions." Journal of Chemical Physics 146, no. 8 (February 28, 2017): 084110. http://dx.doi.org/10.1063/1.4975388.

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16

Bhalla, Pankaj, and Navinder Singh. "A comparative study of finite frequency scattering rate from Allen, Mitrović–Fiorucci, Shulga–Dolgov–Maksimov, Sharapov–Carbotte and memory function formalisms." International Journal of Modern Physics B 33, no. 13 (May 20, 2019): 1950128. http://dx.doi.org/10.1142/s0217979219501285.

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We report a comparative study of scattering rates which are calculated using different formalisms such as [P. B. Allen, Phys. Rev. B 3, 305 (1971); S. V. Shulga, D. V. Dolgov and E. G. Maksimov, Physica C 178, 266 (1991); B. Mitrović and M. A. Fiorucci, Phys. Rev. B 31, 2694 (1985); S. G. Sharapov and J. P. Carbotte, Phys. Rev. B 72, 134506 (2005)] and memory function formalism (MemF) [H. Mori, Prog. Theor. Phys. 33, 423 (1965)]. An advantage of this study is that it sheds light on the physical assumptions used in these formalisms. In this context, we consider a case of electron–phonon interaction and discuss frequency- and temperature-dependent behavior of scattering rates. Further, a comparative study of scattering rate proceeds for distinct phonon density of states (PDOS) and electron density of states (EDOS). From the detailed analysis, we observe that the MemF is the most general one and others are based on restrictive assumptions as discussed in this work.
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17

Mih�kov�, E., and K. Pol�k. "Emission Decay Kinetics of Pb2+ Ions in Potassium Halide Crystals. Application of Tokuyama-Mori Formalism." physica status solidi (b) 206, no. 2 (April 1998): 823–40. http://dx.doi.org/10.1002/(sici)1521-3951(199804)206:2<823::aid-pssb823>3.0.co;2-n.

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18

Parish, Eric J., and Karthik Duraisamy. "A dynamic subgrid scale model for Large Eddy Simulations based on the Mori–Zwanzig formalism." Journal of Computational Physics 349 (November 2017): 154–75. http://dx.doi.org/10.1016/j.jcp.2017.07.053.

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19

Falkena, Swinda K. J., Courtney Quinn, Jan Sieber, and Henk A. Dijkstra. "A delay equation model for the Atlantic Multidecadal Oscillation." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 477, no. 2246 (February 2021): 20200659. http://dx.doi.org/10.1098/rspa.2020.0659.

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A new technique to derive delay models from systems of partial differential equations, based on the Mori–Zwanzig (MZ) formalism, is used to derive a delay-difference equation model for the Atlantic Multidecadal Oscillation (AMO). The MZ formalism gives a rewriting of the original system of equations, which contains a memory term. This memory term can be related to a delay term in a resulting delay equation. Here, the technique is applied to an idealized, but spatially extended, model of the AMO. The resulting delay-difference model is of a different type than the delay differential model which has been used to describe the El Niño Southern Oscillation. In addition to this model, which can also be obtained by integration along characteristics, error terms for a smoothing approximation of the model have been derived from the MZ formalism. Our new method of deriving delay models from spatially extended models has a large potential to use delay models to study a range of climate variability phenomena.
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20

Yoshimoto, Yuta, Zhen Li, Ikuya Kinefuchi, and George Em Karniadakis. "Construction of non-Markovian coarse-grained models employing the Mori–Zwanzig formalism and iterative Boltzmann inversion." Journal of Chemical Physics 147, no. 24 (December 28, 2017): 244110. http://dx.doi.org/10.1063/1.5009041.

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21

Chu, Weiqi, and Xiantao Li. "The Mori–Zwanzig formalism for the derivation of a fluctuating heat conduction model from molecular dynamics." Communications in Mathematical Sciences 17, no. 2 (2019): 539–63. http://dx.doi.org/10.4310/cms.2019.v17.n2.a10.

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22

Khamzin, A. A., R. R. Nigmatullin, and I. I. Popov. "Description of the anomalous dielectric relaxation in disordered systems in the frame of the Mori-Zwanzig formalism." Journal of Physics: Conference Series 394 (November 29, 2012): 012013. http://dx.doi.org/10.1088/1742-6596/394/1/012013.

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23

Wang, Qian, Nicolò Ripamonti, and Jan S. Hesthaven. "Recurrent neural network closure of parametric POD-Galerkin reduced-order models based on the Mori-Zwanzig formalism." Journal of Computational Physics 410 (June 2020): 109402. http://dx.doi.org/10.1016/j.jcp.2020.109402.

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24

Gouasmi, Ayoub, Eric J. Parish, and Karthik Duraisamy. "A priori estimation of memory effects in reduced-order models of nonlinear systems using the Mori–Zwanzig formalism." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 473, no. 2205 (September 2017): 20170385. http://dx.doi.org/10.1098/rspa.2017.0385.

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Reduced models of nonlinear dynamical systems require closure, or the modelling of the unresolved modes. The Mori–Zwanzig procedure can be used to derive formally closed evolution equations for the resolved physics. In these equations, the unclosed terms are recast as a memory integral involving the time history of the resolved variables. While this procedure does not reduce the complexity of the original system, these equations can serve as a mathematically consistent basis to develop closures based on memory approximations. In this scenario, knowledge of the memory kernel is paramount in assessing the validity of a memory approximation. Unravelling the memory kernel requires solving the orthogonal dynamics, which is a high-dimensional partial differential equation that is intractable, in general. A method to estimate the memory kernel a priori , using full-order solution snapshots, is proposed. The key idea is to solve a pseudo orthogonal dynamics equation, which has a convenient Liouville form, instead. This ersatz arises from the assumption that the semi-group of the orthogonal dynamics is a composition operator for one observable. The method is exact for linear systems. Numerical results on the Burgers and Kuramoto–Sivashinsky equations demonstrate that the proposed technique can provide valuable information about the memory kernel.
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25

Ajdour, M., A. Bakkali, L. Azrar, and A. El Omri. "Modeling and analysis of loaded multilayered magnetoelectroelastic structures composite materials: Applications." Advanced Electromagnetics 5, no. 3 (December 19, 2016): 91. http://dx.doi.org/10.7716/aem.v5i3.426.

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This paper presents the detailed analysis of fiber- reinforced magnetoelectroelastic composite plates. The work is divided into two major sections. The first one deals with the homogenization of the properties of each layer based on the Mori-Tanaka mean field approach where all the needed effective coefficients of each layer are determined. Then, in order to perform analysis of the considered, the Stroh formalism is used to provide solutions for multifunctional multilayered magnetoelectroelastic composites, to predict exactly the mechanical and electrical behaviors near or across the interface of material layers.
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26

Li, Zhen, Hee Sun Lee, Eric Darve, and George Em Karniadakis. "Computing the non-Markovian coarse-grained interactions derived from the Mori–Zwanzig formalism in molecular systems: Application to polymer melts." Journal of Chemical Physics 146, no. 1 (January 7, 2017): 014104. http://dx.doi.org/10.1063/1.4973347.

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27

Chung, Shin-Ho, and Michael Roper. "Generalized Langevin Equation: An Introductory Review for Biophysicists." Biophysical Reviews and Letters 14, no. 04 (December 2019): 171–96. http://dx.doi.org/10.1142/s1793048019300019.

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An introductory, pedagogical review of the generalized Langevin equation (GLE) within the classical regime is presented. It is intended to be accessible to biophysicists with an interest in molecular dynamics (MD). Section 1 presents why the equation may be of interest within biophysical modeling. A detailed elementary first principles derivation of the (multidimensional) Kac–Zwanzig model is presented. The literature is reviewed with a focus on biophysical applications and representation by Markovian stochastic differential equations. The relationship with the Mori–Zwanzig formalism is discussed. The framework of model reduction and approximation is emphasized. Some open problems are identified.
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28

Ma, Kou-Han, and Ning-Hua Tong. "Improved strong-coupling perturbation theory of the symmetric Anderson impurity model." Modern Physics Letters B 33, no. 27 (September 30, 2019): 1950332. http://dx.doi.org/10.1142/s0217984919503329.

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In a previous work [N. H. Tong, Phys. Rev. B 92 (2015) 165126], an equation-of-motion-based series expansion formalism was used to do the second-order strong-coupling expansion for the single-particle Green function of the Anderson impurity model (AIM). In this paper, we improve this theory in two aspects. We first use a more accurate scheme to self-consistently calculate the averages that appear in [Formula: see text]. In the resummation process, we use updated coefficients for the continued fraction (CF), guided by the formally exact CF from the Mori–Zwanzig theory. These changes lead to more accurate impurity spin responses to the magnetic bias of the bath. Combined with the dynamical mean-field theory, our theory gives improved description for the antiferromagnetism of Hubbard model at half-filling.
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29

Chorin, Alexandre J., and Fei Lu. "Discrete approach to stochastic parametrization and dimension reduction in nonlinear dynamics." Proceedings of the National Academy of Sciences 112, no. 32 (July 27, 2015): 9804–9. http://dx.doi.org/10.1073/pnas.1512080112.

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Many physical systems are described by nonlinear differential equations that are too complicated to solve in full. A natural way to proceed is to divide the variables into those that are of direct interest and those that are not, formulate solvable approximate equations for the variables of greater interest, and use data and statistical methods to account for the impact of the other variables. In the present paper we consider time-dependent problems and introduce a fully discrete solution method, which simplifies both the analysis of the data and the numerical algorithms. The resulting time series are identified by a NARMAX (nonlinear autoregression moving average with exogenous input) representation familiar from engineering practice. The connections with the Mori–Zwanzig formalism of statistical physics are discussed, as well as an application to the Lorenz 96 system.
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30

Yoshimoto, Yuta, Zhen Li, Ikuya Kinefuchi, and George Em Karniadakis. "Publisher’s Note: “Construction of non-Markovian coarse-grained models employing the Mori–Zwanzig formalism and iterative Boltzmann inversion” [J. Chem. Phys. 147, 244110 (2017)]." Journal of Chemical Physics 148, no. 4 (January 28, 2018): 049901. http://dx.doi.org/10.1063/1.5023012.

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31

Leporati, Matthew. "New Formalism in the Classroom: Re-Forming Epic Poetry in Wordsworth and Blake." Humanities 8, no. 2 (May 20, 2019): 100. http://dx.doi.org/10.3390/h8020100.

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Recent years have seen a resurgence of interest in “New Formalism,” a close attention to textual language and structure that departs from the outdated and regressive stances of old formalisms (especially “New Criticism”) by interrogating the connections between form, history, and culture. This article surveys the contributions of New Formalism to Romanticism studies and applies its techniques to two canonical texts, suggesting that New Formalism is useful both for literary criticism and teaching literature. Opening with a survey of New Formalist theory and practices, and an overview of the theoretical innovations within New Formalism that have been made by Romantic scholars, the article applies New Formalist techniques to William Wordsworth’s Prelude and William Blake’s Milton: a Poem. Often read as poems seeking to escape the dispiriting failure of the French Revolution, these texts, I argue, engage the formal strategies of epic poetry to enter the discourse of the period, offering competing ways to conceive of the self in relation to history. Written during the Romantic epic revival, when more epics were composed than at any other time in history, these poems’ allusive dialogue with Paradise Lost and with the epic tradition more broadly allows them to think through the self’s relationship to the past, a question energized by the Revolution Controversy. I explore how Wordsworth uses allusion to link himself to Milton and ultimately Virgil, both privileging the past and thereby asserting the value of the present as a means of reiterating and restoring it; Blake, in contrast, alludes to Milton to query the very idea of dependence on the past. These readings are intertwined with my experiences of teaching, as I have employed New Formalism to encourage students to develop as writers in response to texts. An emphasis on form provides students with concrete modes of entry into discussing literature and allows instructors to help students identify and revise the forms and structures of their own writing in response to literature.
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32

Venturi, D., and G. E. Karniadakis. "Convolutionless Nakajima–Zwanzig equations for stochastic analysis in nonlinear dynamical systems." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 470, no. 2166 (June 8, 2014): 20130754. http://dx.doi.org/10.1098/rspa.2013.0754.

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Determining the statistical properties of stochastic nonlinear systems is of major interest across many disciplines. Currently, there are no general efficient methods to deal with this challenging problem that involves high dimensionality, low regularity and random frequencies. We propose a framework for stochastic analysis in nonlinear dynamical systems based on goal-oriented probability density function (PDF) methods. The key idea stems from techniques of irreversible statistical mechanics, and it relies on deriving evolution equations for the PDF of quantities of interest, e.g. functionals of the solution to systems of stochastic ordinary and partial differential equations. Such quantities could be low-dimensional objects in infinite dimensional phase spaces. We develop the goal-oriented PDF method in the context of the time-convolutionless Nakajima–Zwanzig–Mori formalism. We address the question of approximation of reduced-order density equations by multi-level coarse graining, perturbation series and operator cumulant resummation. Numerical examples are presented for stochastic resonance and stochastic advection–reaction problems.
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33

VANNUCCHI, FABIO S., AUREA R. VASCONCELLOS, and ROBERTO LUZZI. "THERMO-STATISTICAL THEORY OF KINETIC AND RELAXATION PROCESSES." International Journal of Modern Physics B 23, no. 27 (October 30, 2009): 5283–305. http://dx.doi.org/10.1142/s0217979209054284.

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We describe, in a short overview, the construction of a Nonequilibrium Statistical Mechanics Ensemble Formalism, providing a thermo-statistical theory of kinetic and relaxation processes. Such construction has been approached along the recently past 20th century by a pleiad of distinguished scientists, a work that can be subsumed in a large systematization in the form of a physically sound, general and useful, theoretical framework. We briefly comment on the main questions associated to that construction. Among them are the relevant ones of choice of the basic variables, and of historicity and irreversibility. The derivation of a nonequilibrium grand-canonical statistical operator and a brief description of the all-important accompanying Nonlinear Quantum Kinetic Theory of relaxation processes are presented. The aspect of validation of the theory (comparison of theory and experiment) is reviewed in compact form, and its use is illustrated in a study of a nonequilibrium system of quantum oscillators embedded in a thermal bath and under the action of an external force, showing how a far-reaching generalization of Mori–Langevin equations arises.
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34

Bengtsson, Lisa, Jian-Wen Bao, Philip Pegion, Cecile Penland, Sara Michelson, and Jeffrey Whitaker. "A Model Framework for Stochastic Representation of Uncertainties Associated with Physical Processes in NOAA’s Next Generation Global Prediction System (NGGPS)." Monthly Weather Review 147, no. 3 (February 28, 2019): 893–911. http://dx.doi.org/10.1175/mwr-d-18-0238.1.

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Abstract In this study, we propose a physical-process-based stochastic parameterization scheme using cellular automata for NOAA’s Next Generation Global Prediction System. The cellular automata, used to simulate stochastic processes such as the production and destruction of subgrid convective elements, are conditioned on unresolved vertical motion that follows a prescribed stochastically generated skewed distribution (SGS). The SGS is described by a stochastic differential equation and linked to observations by taking into account the first four moments from an observed dataset. In the proposed parameterization framework, we emphasize the need for a dynamical memory term to be included in physical-process-based stochastic parameterizations, and we illustrate the requirement for the dynamical memory using the Mori–Zwanzig formalism. Although this paper focuses on the methodology, early results indicate that if we apply our stochastic framework to deep cumulus convection, it is found that the frequency distribution of precipitation is improved in a single-member stochastic forecast, and some improved spread–skill relationship in ensemble runs can be found in state variables in the tropics, as well as in the subtropics.
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35

Manavella, E. C. "EXTENDED FADDEEV-JACKIW CANONICAL QUANTIZATION FOR THE (1+1)-DIMENSIONAL NONRELATIVISTIC ELECTRODYNAMICS." Anales AFA 31, no. 4 (January 15, 2021): 127–34. http://dx.doi.org/10.31527/analesafa.2020.31.4.127.

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Some time ago, we proposed an extension of the usual Faddeev-Jackiw formalism for constrained systems with Grassmann dynamic variables in the field theory context. In the present work, we apply this extended formalism to the (1+1)-dimensional nonrelativistic electrodynamics. By comparing the obtained results with those corresponding to the implementation of Dirac formalism on this model, we find the same constraints and generalized brackets. In this way, we can conclude that the extended Faddeev-Jackiw and the Dirac formalisms can be considered equivalent, at least for this model. On the contrary, in this case, we find that there is no equivalence between the usual Faddeev-Jackiw and the Dirac formalisms. On the other hand, we observe that the extended formalism is more economical than the Dirac one regarding the computation of both, constraints and generalized brackets.
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36

Dowling, Christopher. "Zangwill, Moderate Formalism, and Another Look at Kant's Aesthetic." Kantian Review 15, no. 2 (July 2010): 90–117. http://dx.doi.org/10.1017/s1369415400002454.

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In recent years Nick Zangwill has gone a long way in championing a moderate aesthetic formalism in an attempt to accommodate those objects that many of us call beautiful despite their lack of any formal beauty. While there is some dispute in the literature about the extent to which Kant can be interpreted as an aesthetic formalist, the appeal of his famous distinction between free and dependent beauty should present a fairly natural ally for Zangwill's project. Indeed, such an alliance has been expressed by Zangwill, who first reaches for this ‘invaluable but misunderstood and underappreciated distinction’ in his ‘Feasible aesthetic formalism’ (1999: 613). Here, Zangwill claims that this essential distinction can be cut loose from Kant's terminology and views about aesthetic judgement. More recently he expresses more strongly that ‘Kant was also a moderate formalist, who opposes extreme formalism when he distinguished free and dependent beauty in §16 of theCritique of Judgement’ (2005: 186n). Yet, a decade on from the initial suggestion, there has been little further exploration or elucidation of this move, or indeed this potential characterization of Kant's aesthetics. It is the aim of this paper to begin to address that deficiency by identifying the extent to which a moderate formalist position is available in Kant's aesthetic. I will suggest that Kant's account does not require substantial modification in order to cast him as a moderate formalist. Taking the time to isolate the plausible grounds for characterizing Kant's aesthetic in this way, this discussion will enable us to explore some of the rival interpretations of his work such that we may also identify the kind of Kantian the moderate formalist is likely to be.
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37

Lapidus, R. "THE AIMS AND ACHIEVEMENTS OF THE RUSSIAN FORMALISTS IN THE YEARS 1913-1925." East European Scientific Journal 3, no. 7(71) (August 11, 2021): 4–11. http://dx.doi.org/10.31618/essa.2782-1994.2021.3.71.94.

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The formalist groups which were active in Russia between the years 1913 and 1925 initiated the formalist method. This method has been shown to have had very significant consequences for the development of the humanities and to a certain degree also for the social sciences in the twentieth century. Although formalism was originally intended only as a method of research, it gave rise - even if indirectly and over many decades - to new conceptions in art and science as a whole. We will now examine the chief basic principles of Russian formalism as revealed in the sources of the period and we will look at its achievements from the vantage-point of more than a hundred years after it began.
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38

HUQ, M., P. I. OBIAKOR, and S. SINGH. "POINT PARTICLE WITH EXTRINSIC CURVATURE." International Journal of Modern Physics A 05, no. 22 (November 20, 1990): 4301–10. http://dx.doi.org/10.1142/s0217751x90001793.

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We have considered point particle action with extrinsic curvature having a geometric interpretation. It is shown that the Hamiltonian formalism possesses more gauge symmetries than the Lagrangian one. Equivalence of the BRST method in both formalisms is also exhibited.
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39

Klages, Gerhard. "Molekülinterne Dipolorientierung und dielektrische Absorption in verdünnter Lösung bei Mikro-und Submillimeterwellen. V.Acetyl-Verbindungen." Zeitschrift für Naturforschung A 44, no. 9 (September 1, 1989): 853–65. http://dx.doi.org/10.1515/zna-1989-0914.

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Abstract The dielectric loss of sixteen molecules, eleven with the acetyle group in aromatic bonds and five in aliphatic bonds, has been measured in very dilute solutions of cyclohexene at 20 °C. Five of these molecules are investigated in decalene solutions, too. The measurements have been made at wavenumbers in the range 0.08 to 140 cm -1 above 8 cm -1 making use of a pumped molecular laser. They are supplemented by the data of a Fourier transform spectrometer up to 300 cm -1. All microwave spectra of loss factor ε″ are analysed in terms of three absorption areas using the two variable Mori formalism. On the other hand, Lorentz curves are fitted to the FIR absorption spectra of α(v̄).The fast relaxation process of the aliphatic compounds is suggested to be due to intramolecular reorientation of the acetyle group itself, since in acetyle cyclohexene the remaining part of the molecule is rigid. To the contrary, the acetyle group is not able to reorientate swiftly, if bounded to aromatic rings. Presumably, it is fixed by mesomeric interaction with the dipole in the plain of the ring. However, 2-methyl acetophenone and 1-acetyle naphthone show some quick dipole reorientation, which coincides with a steric hindrance of the group in entering the plain of the ring.
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40

Gretchko, Valerij. "Aesthetic conception of Russian Formalism: the cognitive view." Sign Systems Studies 31, no. 2 (December 31, 2003): 523–32. http://dx.doi.org/10.12697/sss.2003.31.2.12.

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At present the theory of Russian Formalism becomes actual once again owing to the rapid development of cognitive science. Aesthetic theories recently put forward within the framework of cognitive science turned out to be consonant with the Formalist’s views on the general principles of artistic activity. In my paper I argue that (1) the theory of Russian Formalism contains a number of methodological assumptions that are close to a cognitive approach; (2) some of the main principles of the Formalist theory (e.g., “elimination of automatism of perception” or “the dominant”) permit the reformulation into cognitive terms; (3) such reformulation is not only possible, but useful because it makes the theory more powerful for explanation of the artistic phenomena. The findings from the new field of cognitive science not only prove some Formalist theses, but deepen and specify them as well.
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41

Cyras, Kristijonas. "Rational versus Intuitive Outcomes of Reasoning with Preferences: Argumentation Perspective." Inteligencia Artificial 20, no. 59 (February 6, 2017): 70. http://dx.doi.org/10.4114/intartif.vol20iss59pp40-81.

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Reasoning with preference information is a common human activity. As modelling human reasoning is one of the main objectives of AI, reasoning with preferences is an important topic in various fields of AI, such as Knowledge Representation and Reasoning (KR). Argumentation is one particular branch of KR that concerns, among other tasks, modelling common-sense reasoning with preferences. A key issue there, is the lack of consensus on how to deal with preferences. Witnessing this is a multitude of proposals on how to formalise reasoning with preferences in argumentative terms. As a commonality, however, formalisms of argumentation with preferences tend to fulfil various criteria of `"rational" reasoning, notwithstanding the fact that human reasoning is often not `"rational", yet seemingly `"intuitive". In this paper, we study how several formalisms of argumentation with preferences model human intuition behind a particular common-sense reasoning problem. More specifically, we present a common-sense scenario of reasoning with rules and preferences, complemented with a survey of decisions made by human respondents that indicates an "intuitive" solution, and analyse how this problem is tackled in argumentation. We conclude that most approaches to argumentation with preferences afford a ``"rational" solution to the problem, and discuss one recent formalism that yields the "intuitive" solution instead. We argue that our results call for advancements in the area of argumentation with preferences in particular, as well as for further studies of reasoning with preferences in AI at large.
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Costa, e. "Interaction parameters of oxygen and deoxidants in liquid iron." Journal of Mining and Metallurgy, Section B: Metallurgy 52, no. 1 (2016): 41–46. http://dx.doi.org/10.2298/jmmb150901001c.

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During decades before the evolution of more powerful computational tools, simplified formalisms such as the Wagner dilute solution formalism, have been successfully used in the study of deoxidation reactions of steel. This formalism relies on the introduction of interaction coefficients to account from deviations from Henry?s Law. With the evolution of thermodynamic modeling and of the CALPHAD method, the fact that thermodynamic descriptions using these parameters were derived to be used at relatively dilute solution has been sometimes overlooked and the formalism has been criticized for deviating from reality in non-dilute solutions. In this work, it is shown that the interaction parameters used in this formalism correlate with properties of the solutes and of the solvent. The work focuses on the interactions in systems Fe-M-O, where M is a deoxidant. Correlations between interaction coefficients and heats of formation of the corresponding oxides and with the atomic number of the deoxidants are demonstrated. This not only helps supporting the physicochemical soundness of the formalism but also provides a way of checking the consistency of data presented in this formalism.
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43

Nebel, B. "On the Compilability and Expressive Power of Propositional Planning Formalisms." Journal of Artificial Intelligence Research 12 (May 1, 2000): 271–315. http://dx.doi.org/10.1613/jair.735.

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The recent approaches of extending the GRAPHPLAN algorithm to handle more expressive planning formalisms raise the question of what the formal meaning of ``expressive power'' is. We formalize the intuition that expressive power is a measure of how concisely planning domains and plans can be expressed in a particular formalism by introducing the notion of ``compilation schemes'' between planning formalisms. Using this notion, we analyze the expressiveness of a large family of propositional planning formalisms, ranging from basic STRIPS to a formalism with conditional effects, partial state specifications, and propositional formulae in the preconditions. One of the results is that conditional effects cannot be compiled away if plan size should grow only linearly but can be compiled away if we allow for polynomial growth of the resulting plans. This result confirms that the recently proposed extensions to the GRAPHPLAN algorithm concerning conditional effects are optimal with respect to the ``compilability'' framework. Another result is that general propositional formulae cannot be compiled into conditional effects if the plan size should be preserved linearly. This implies that allowing general propositional formulae in preconditions and effect conditions adds another level of difficulty in generating a plan.
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44

Jou, David. "Relationships between rational extended thermodynamics and extended irreversible thermodynamics." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 378, no. 2170 (March 30, 2020): 20190172. http://dx.doi.org/10.1098/rsta.2019.0172.

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We consider a few conceptual questions on extended thermodynamics, with the aim to contribute to a higher contact between rational extended thermodynamics and extended irreversible thermodynamics. Both theories take a number of fluxes as independent variables, but they differ in the formalism being used to deal with the exploitation of the second principle (rational thermodynamics in the first one and classical irreversible thermodynamics in the second one). Rational extended thermodynamics is more restricted in the range of systems to be analysed, but it is able to obtain a wider number of restrictions and deeper specifications from the second law. By contrast, extended irreversible thermodynamics is more phenomenological, its mathematical formalism is more elementary, but it may deal with a wider diversity of systems although with less detail. Further comparison and dialogue between both branches of extended thermodynamics would be useful for a fuller deployment and deepening of extended thermodynamics. Besides these two approaches, one should also consider the Hamiltonian approach, formalisms with internal variables, and more microscopic approaches, based on kinetic theory or on non-equilibrium ensemble formalisms. This article is part of the theme issue ‘Fundamental aspects of nonequilibrium thermodynamics’.
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Nederhof, M. J., and G. Satta. "IDL-Expressions: A Formalism for Representing and Parsing Finite Languages in Natural Language Processing." Journal of Artificial Intelligence Research 21 (March 1, 2004): 287–317. http://dx.doi.org/10.1613/jair.1309.

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We propose a formalism for representation of finite languages, referred to as the class of IDL-expressions, which combines concepts that were only considered in isolation in existing formalisms. The suggested applications are in natural language processing, more specifically in surface natural language generation and in machine translation, where a sentence is obtained by first generating a large set of candidate sentences, represented in a compact way, and then by filtering such a set through a parser. We study several formal properties of IDL-expressions and compare this new formalism with more standard ones. We also present a novel parsing algorithm for IDL-expressions and prove a non-trivial upper bound on its time complexity.
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46

GUPTA, RAJ K., S. K. PATRA, P. D. STEVENSON, and WALTER GREINER. "A HIGHLY NEUTRON-RICH CLUSTER AND/OR A SUPERHEAVY NUCLEUS IN THE COMPOUND NUCLEUS 238U+238U: A MEAN FIELD STUDY." International Journal of Modern Physics E 16, no. 06 (July 2007): 1721–32. http://dx.doi.org/10.1142/s0218301307006137.

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Clustering structures of the various resonance states of the compound nucleus 476184*, formed in 238 U +238 U reaction, are studied within the standard relativistic mean field (RMF) and non-relativistic Skyrme Hartree–Fock formalisms. The formations of various possible clusters and superheavy nuclei as daughter products are discussed. Both the formalisms support clustering phenomenon, the RMF presenting a somewhat more realistic picture. Also, before the asymptotic fissioning state, a kind of triple fission, with the cluster appearing in the neck region of two equal fragments, is obtained as one of the possibilities in RMF formalism.
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NEILSON, DAVID. "DISSIPATIVE PROCESSES IN LOW DENSITY STRONGLY INTERACTING 2D ELECTRON SYSTEMS." International Journal of Modern Physics B 24, no. 25n26 (October 20, 2010): 4946–60. http://dx.doi.org/10.1142/s0217979210057122.

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A glassy phase in disordered two dimensional (2D) electron systems may exist at low temperatures for electron densities lying intermediate between the Fermi liquid and Wigner crystal limits. The glassy phase is generated by the combined effects of disorder and the strong electron-electron correlations arising from the repulsive Coulomb interactions. Our approach here is motivated by the observation that at low electron densities the electron pair correlation function, as numerically determined for a non-disordered 2D system from Monte Carlo simulations, is very similar to the pair correlation function for a 2D classical system of hard discs. This suggests that theoretical approaches to 2D classical systems of hard discs may be of use in studying the disordered, low density electron problem. We use this picture to study its dynamics on the electron-liquid side of a glass transition. At long times the major relaxation process in the electron-liquid will be a rearrangement of increasingly large groups of the discs, rather than the movement of the discs separately. Such systems have been studied numerically and they display all the characteristics of glassy behaviour. There is a slowing down of the dynamics and a limiting value of the retarded spatial correlations. Motivated by the success of mode-coupling theories for hard spheres and discs in reproducing experimental results in classical fluids, we use the Mori formalism within a mode-coupling theory to obtain semi-quantitative insight into the role of electron correlations as they affect the time response of the weakly disordered 2D electron system at low densities.
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48

Yacoub, Aznam, Maamar El Amine Hamri, and Claudia Frydman. "DEv-PROMELA: modeling, verification, and validation of a video game by combining model-checking and simulation." SIMULATION 96, no. 11 (August 17, 2020): 881–910. http://dx.doi.org/10.1177/0037549720946107.

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Modeling, verifying, and validating are essential steps in order to build systems and software that do what designers expect. If formal verification, and especially model-checking, is a popular method for proving the correctness of properties, its efficiency depends on the accuracy of the used models and the quality of abstractions. As a consequence, applying verification techniques on large-scale complex software like video games is hard without strong assumptions and simplifications. Simulation models are generally more accurate than verification models, but it is often harder to verify them. Combined formalisms that take the benefits of both model-checking and discrete-event simulation represent a good deal between both of these families, although strong engineering expertise remains necessary to define the relevant tests and scenarios. This paper proposes an approach to build this kind of formalism through the example of DEv-PROMELA, which is built by combining Discrete-event System Specification formalism and PROMELA language. Then, it shows how combined formalisms can be used for modeling, verifying, and validating complex software like video games by using both formal-based and simulation-based verification and validation.
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DREWES, FRANK. "LINKS." International Journal of Foundations of Computer Science 18, no. 06 (December 2007): 1187–96. http://dx.doi.org/10.1142/s0129054107005236.

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We define the notion of links, thus generalizing the chain-code, turtle geometry, and collage formalisms. As links can be concatenated, link grammars can be defined in a similar way as chain-code grammars. Context-free link grammars are shown to be strictly more powerful than both context-free chain-code grammars and context-free collage grammars. Moreover, we study the generalization obtained by extending the formalism with the brackets known from the turtle geometry.
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BISHOP, GARNER C., and JUDY SMITH. "A MODEL FOR SCATTERING FROM AN ACOUSTICALLY HARD SURFACE WITH NONDIFFERENTIABLE PERIODIC ROUGHNESS." Journal of Computational Acoustics 01, no. 02 (June 1993): 249–85. http://dx.doi.org/10.1142/s0218396x93000147.

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A model is described and numerical results are shown for the far-field scatter of a plane wave from an acoustically hard surface with a periodic roughness profile function that is continuous everywhere, but is nondifferentiable at a finite number of points within a period, and that may have a large maximum amplitude or slope. Scattering from these types of surfaces is modeled by approximating the roughness profile by truncating its Fourier series representation, and using the integral equation scattering formalism of Holford [J. Acoust. Soc. Am.70, (1981) 1116–1128]. To determine the effects of this approximation on the far-field scatter, the exact profile function and the scattering formalism of DeSanto [Radio Sci.16, (1981) 1315–1326], which is not an integral equation formalism, is also used to calculate the far-field scatter. Both formalisms are used to calculate plane wave scattering from sinusoidal surface roughness and from nondifferentiable periodic surface roughness constructed from (1) a trapezoid, (2) a rectified sinusoid, (3) concave upward and concave downward semi-ellipses, and (4) a power law spectrum. It is shown that the amplitudes of the plane wave modes scattered from a continuous and nondifferentiable surface and from its truncated Fourier series representation are essentially identical for all surfaces considered and over a wide range of incident grazing angles, wavenumbers, and surface roughness. In addition, it is shown that the Holford formalism may be used to calculate scattering from surfaces considerably rougher and at grazing angles lower than the DeSanto formalism, but that the Holford formalism is more computationally intensive than the DeSanto formalism, and that in the regions where both theories are numerically stable, the DeSanto formalism is preferable.
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