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Journal articles on the topic 'Intrinsic field tensors'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2022

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1

CIARLET, PHILIPPE G., LILIANA GRATIE, CRISTINEL MARDARE, and MING SHEN. "SAINT VENANT COMPATIBILITY EQUATIONS ON A SURFACE APPLICATION TO INTRINSIC SHELL THEORY." Mathematical Models and Methods in Applied Sciences 18, no. 02 (February 2008): 165–94. http://dx.doi.org/10.1142/s0218202508002644.

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We first establish that the linearized change of metric and change of curvature tensors, with components in L2 and H-1 respectively, associated with a displacement field, with components in H1, of a surface S immersed in ℝ3 must satisfy in the distributional sense compatibility conditions that may be viewed as the linear version of the Gauss and Codazzi-Mainardi equations. These compatibility conditions, which are analogous to the familiar Saint Venant equations in three-dimensional elasticity, constitute the Saint Venant equations on the surface S. We next show that these compatibility condit

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2

Niedermaier, Max. "Nonstandard Action of Diffeomorphisms and Gravity’s Anti-Newtonian Limit." Symmetry 12, no. 5 (May 6, 2020): 752. http://dx.doi.org/10.3390/sym12050752.

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A tensor calculus adapted to the Anti-Newtonian limit of Einstein gravity is developed. The limit is defined in terms of a global conformal rescaling of the spatial metric. This enhances spacelike distances compared to timelike ones and in the limit effectively squeezes the lightcones to lines. Conventional tensors admit an analogous Anti-Newtonian limit, which however transforms according to a non-standard realization of the spacetime Diffeomorphism group. In addition to the type of the tensor the transformation law depends on, a set of integer-valued weights is needed to ensure the existence

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3

Krawczuk, Anna, Daniel Pérez, and Piero Macchi. "PolaBer: a program to calculate and visualize distributed atomic polarizabilities based on electron density partitioning." Journal of Applied Crystallography 47, no. 4 (June 14, 2014): 1452–58. http://dx.doi.org/10.1107/s1600576714010838.

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This paper describes the program PolaBer, which calculates atomic polarizability tensors from electric field perturbations of a partitioned electron density distribution. Among many possible partitioning schemes, PolaBer is currently using the quantum theory of atoms in molecules and it is interfaced to programs that apply such a partitioning. The calculation of the atomic tensors follows the idea suggested by Keith [The Quantum Theory of Atoms in Molecules: From Solid State to DNA and Drug Design, (2007), edited by C. F. Matta & R. J. Boyd. Weinheim: Wiley-VCH], which enables the removal

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4

YOUSSEF, NABIL L., S. H. ABED та A. SOLEIMAN. "CONCURRENT π-VECTOR FIELDS AND ENERGY β-CHANGE". International Journal of Geometric Methods in Modern Physics 06, № 06 (вересень 2009): 1003–31. http://dx.doi.org/10.1142/s0219887809003904.

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The present paper deals with an intrinsic investigation of the notion of a concurrent π-vector field on the pullback bundle of a Finsler manifold (M, L). The effect of the existence of a concurrent π-vector field on some important special Finsler spaces is studied. An intrinsic investigation of a particular β-change, namely the energy β-change ([Formula: see text]with[Formula: see text]; [Formula: see text] being a concurrent π-vector field), is established. The relation between the two Barthel connections Γ and [Formula: see text], corresponding to this change, is found. This relation, togeth

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SOLEIMAN, A. "PARALLEL π-VECTOR FIELDS AND ENERGY β-CHANGE". International Journal of Geometric Methods in Modern Physics 08, № 04 (червень 2011): 753–72. http://dx.doi.org/10.1142/s0219887811005373.

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The present paper deals with an intrinsic investigation of the notion of a parallel π-vector field on the pullback bundle of a Finsler manifold (M, L). The effect of the existence of a parallel π-vector field on some important special Finsler spaces is studied. An intrinsic investigation of a particular β-change, namely the energy β-change ([Formula: see text]with[Formula: see text] being a parallel π-vector field), is established. The relation between the two Barthel connections Γ and [Formula: see text], corresponding to this change, is found. This relation, together with the fact that the C

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6

VAN GOETHEM, NICOLAS, and FRANÇOIS DUPRET. "A distributional approach to 2D Volterra dislocations at the continuum scale." European Journal of Applied Mathematics 23, no. 3 (February 16, 2012): 417–39. http://dx.doi.org/10.1017/s0956792512000010.

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We develop a theory to represent dislocations and disclinations in single crystals at the continuum (or mesoscopic) scale by directly modelling the defect densities as concentrated effects governed by the distribution theory. The displacement and rotation multi-valuedness is resolved by introducing the intrinsic and single-valued Frank and Burgers tensors from the distributional gradients of the strain field. Our approach provides a new understanding of the theory of line defects as developed by Kröner [10] and other authors [6, 9]. The fundamental identity relating the incompatibility tensor

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Lahoche, Vincent, Mohamed Ouerfelli, Dine Ousmane Samary, and Mohamed Tamaazousti. "Field Theoretical Approach for Signal Detection in Nearly Continuous Positive Spectra II: Tensorial Data." Entropy 23, no. 7 (June 23, 2021): 795. http://dx.doi.org/10.3390/e23070795.

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The tensorial principal component analysis is a generalization of ordinary principal component analysis focusing on data which are suitably described by tensors rather than matrices. This paper aims at giving the nonperturbative renormalization group formalism, based on a slight generalization of the covariance matrix, to investigate signal detection for the difficult issue of nearly continuous spectra. Renormalization group allows constructing an effective description keeping only relevant features in the low “energy” (i.e., large eigenvalues) limit and thus providing universal descriptions a

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8

SOLEIMAN, A. "ENERGY β-CONFORMAL CHANGE IN FINSLER GEOMETRY". International Journal of Geometric Methods in Modern Physics 09, № 04 (6 травня 2012): 1250029. http://dx.doi.org/10.1142/s0219887812500296.

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The present paper deals with an intrinsic generalization of the conformal change and energy β-change on a Finsler manifold (M.L.), namely the energy β-conformal change ([Formula: see text] with [Formula: see text]; [Formula: see text] being a concurrent π-vector field and σ(x) is a function on M). The relation between the two Barthel connections Γ and [Formula: see text], corresponding to this change, is found. This relation, together with the fact that the Cartan and the Barthel connections have the same horizontal and vertical projectors, enable us to study the energy β-conformal change of t

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9

Ciarlet, Philippe G., and Cristinel Mardare. "The intrinsic theory of linearly elastic plates." Mathematics and Mechanics of Solids 24, no. 4 (May 28, 2018): 1182–203. http://dx.doi.org/10.1177/1081286518776047.

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In an intrinsic approach to a problem in elasticity, the only unknown is a tensor field representing an appropriate ‘measure of strain’, instead of the displacement vector field in the classical approach. The objective of this paper is to study the displacement traction problem in the special case where the elastic body is a linearly elastic plate of constant thickness, clamped over a portion of its lateral face. In this respect, we first explicitly compute the intrinsic three-dimensional boundary condition of place in terms of the Cartesian components of the linearized strain tensor field, th

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10

LU, H., C. N. POPE, S. SCHRANS, and X. J. WANG. "NEW REALIZATIONS OF W ALGEBRAS AND W STRINGS." Modern Physics Letters A 07, no. 20 (June 28, 1992): 1835–42. http://dx.doi.org/10.1142/s0217732392001543.

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We discuss new realizations of W algebras in which the currents are expressed in terms of two arbitrary commuting energy-momentum tensors together with a set of free scalar fields. This contrasts with the previously-known realizations, which involve only one energy-momentum tensor. Since realizations of nonlinear algebras are not easy to come by, the fact that this new class exists is of intrinsic interest. We use these new realizations to build the corresponding W-string theories and show that they are effectively described by two independent ordinary Virasoro-like strings.

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11

Verwoerd, Wynand S. "Iterative solution of quadratic tensor equations for mutual polarisation." International Journal of Mathematics and Mathematical Sciences 32, no. 5 (2002): 301–12. http://dx.doi.org/10.1155/s0161171202110246.

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To describe mutual polarisation in bulk materials containing high polarisability molecules, local fields beyond the linear approximation need to be included. A second order tensor equation is formulated, and it describes this in the case of crystalline or at least locally ordered materials such as an idealised polymer. It is shown that this equation is solved by a set of recursion equations that relate the induced dipole moment, linear polarisability, and first hyperpolarisability in the material to the intrinsic values of the same properties of isolated molecules. From these, macroscopic susc

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12

CIARLET, PHILIPPE G., PATRICK CIARLET, OANA IOSIFESCU, STEFAN SAUTER, and JUN ZOU. "LAGRANGE MULTIPLIERS IN INTRINSIC ELASTICITY." Mathematical Models and Methods in Applied Sciences 21, no. 04 (April 2011): 651–66. http://dx.doi.org/10.1142/s0218202511005167.

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In an intrinsic approach to three-dimensional linearized elasticity, the unknown is the linearized strain tensor field (or equivalently the stress tensor field by means of the constitutive equation), instead of the displacement vector field in the classical approach. We consider here the pure traction problem and the pure displacement problem and we show that, in each case, the intrinsic approach leads to a quadratic minimization problem constrained by Donati-like relations (the form of which depends on the type of boundary conditions considered). Using the Babuška-Brezzi inf-sup condition, we

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Ciarlet, Philippe G., Cristinel Mardare, and Xiaoqin Shen. "Donati compatibility conditions for membrane and flexural shells." Analysis and Applications 13, no. 06 (August 5, 2015): 685–705. http://dx.doi.org/10.1142/s0219530514500237.

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Donati compatibility conditions on a surface allow to reformulate the minimization problem for a linearly elastic shell through the intrinsic approach, i.e. as a quadratic minimization problem with the linearized change of metric and change of curvature tensors of the middle surface of the shell as the new unknowns. Such compatibility conditions typically take the form of variational equations with divergence-free tensor fields as test-functions. In a previous work, the first author and Oana Iosifescu have identified and justified Donati compatibility conditions for shells modeled by Koiter's

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14

Ciarlet, Philippe G., and Cristinel Mardare. "Intrinsic formulation of the displacement-traction problem in linearized elasticity." Mathematical Models and Methods in Applied Sciences 24, no. 06 (March 28, 2014): 1197–216. http://dx.doi.org/10.1142/s0218202513500814.

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The displacement-traction problem of linearized elasticity is a system of partial differential equations and boundary conditions whose unknown is the displacement field inside a linearly elastic body. We explicitly identify here the corresponding boundary conditions satisfied by the linearized strain tensor field associated with such a displacement field. Using this identification, we are then able to provide an intrinsic formulation of the displacement-traction problem of linearized elasticity, by showing how it can be recast into a boundary value problem whose unknown is the linearized strai

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Summa, Francesco Ferdinando, and Paolo Lazzeretti. "Electronic Currents and Anapolar Response Induced in Molecules by Monochromatic Light." Chemistry 3, no. 3 (September 5, 2021): 1022–36. http://dx.doi.org/10.3390/chemistry3030073.

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It is shown that the electric dipole- and electric quadrupole–anapole polarizabilities, denoted respectively by fαβ′ and gα,βγ′, and the anapole magnetizability aαβ, are intrinsic properties of the electron cloud of molecules responding to optical fields. fαβ′ is a nonvanishing property of chiral and achiral compounds, whereas aαβ is suitable for enantiomer discrimination of chiral species. They can conveniently be evaluated by numerical integration, employing a formulation complementary to that provided by perturbation theory and relying on the preliminary computation of electronic current de

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16

Hammond, Richard T. "Einstein’s dream." International Journal of Modern Physics D 28, no. 14 (October 2019): 1943005. http://dx.doi.org/10.1142/s0218271819430053.

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It is shown the antisymmetric part of the metric tensor is the potential for the torsion field, which arises from intrinsic spin. To maintain gauge invariance, the nonsymmetric part of the metric tensor must be generalized to include the electromagnetic field. This result leads to a link between the cosmological constant and the electromagnetic field.

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17

BANDELLONI, GIUSEPPE. "UNCONSTRAINED HIGHER SPINS IN FOUR DIMENSIONS." International Journal of Geometric Methods in Modern Physics 08, no. 03 (May 2011): 511–56. http://dx.doi.org/10.1142/s0219887811005269.

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The relativistic symmetric tensor fields are, in four dimensions, the right candidates to describe Higher Spin Fields. Their highest spin content is isolated with the aid of covariant conditions, discussed within a group theory framework, in which auxiliary fields remove the lower intrinsic angular momenta sectors. These conditions are embedded within a Lagrangian Quantum Field theory which describes an Higher Spin Field interacting with a Classical background. The model is invariant under a (B.R.S.) symmetric unconstrained tensor extension of the reparametrization symmetry, which include the

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18

Hernández-Lemus, Enrique. "On a Class of Tensor Markov Fields." Entropy 22, no. 4 (April 16, 2020): 451. http://dx.doi.org/10.3390/e22040451.

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Here, we introduce a class of Tensor Markov Fields intended as probabilistic graphical models from random variables spanned over multiplexed contexts. These fields are an extension of Markov Random Fields for tensor-valued random variables. By extending the results of Dobruschin, Hammersley and Clifford to such tensor valued fields, we proved that tensor Markov fields are indeed Gibbs fields, whenever strictly positive probability measures are considered. Hence, there is a direct relationship with many results from theoretical statistical mechanics. We showed how this class of Markov fields it

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Bukusheva, A. V. "Geometry of Nonholonomic Kenmotsu Manifolds." Izvestiya of Altai State University, no. 1(117) (March 17, 2021): 84–87. http://dx.doi.org/10.14258/izvasu(2021)1-13.

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The concept of the intrinsic geometry of a nonholonomic Kenmotsu manifold M is introduced. It is understood as the set of those properties of the manifold that depend only on the framing of the D^ distribution D of the manifold M, on the parallel transformation of vectors belonging to the distribution D along curves tangent to this distribution. The invariants of the intrinsic geometry of the nonholonomic Kenmotsu manifold are: the Schouten curvature tensor; 1-form η generating the distribution D; the Lie derivative of the metric tensor g along the vector field ; Schouten — Wagner tensor field

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HAMMOND, RICHARD T. "SPIN FROM THE NONSYMMETRIC METRIC TENSOR." International Journal of Modern Physics D 22, no. 12 (October 2013): 1342009. http://dx.doi.org/10.1142/s0218271813420091.

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A solution to the gravitational field equations based on a nonsymmetric metric tensor is examined. Unlike Einstein's interpretation of electromagnetism, or Moffat's generalized gravity, it is shown that the nonsymmetric part of the metric tensor is the potential of the spin field, and its intimate connection to string theory is established. This formulation solves the longstanding problem of electromagnetism and torsion, naturally showing how electromagnetism, through its intrinsic spin, can create torsion.

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21

Bezborodov, Mikhail A., Mikhail A. Eremin, Vitaly V. Korolev, Ilya G. Kovalenko, and Elena V. Zhukova. "Visualization of the Anisotropy of the Velocity Dispersion and Characteristics of the Multi-Velocity Continuum in the Regions of Multi-Stream Flows of Gas-Dust Media with Polydisperse Dust." Journal of Imaging 6, no. 9 (September 17, 2020): 98. http://dx.doi.org/10.3390/jimaging6090098.

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Collisionless media devoid of intrinsic stresses, for example, a dispersed phase in a multiphase medium, have a much wider variety of space-time structures and features formed in them than collisional media, for example, a carrier, gas, or liquid phase. This is a consequence of the fact that evolution in such media occurs in phase space, i.e., in a space of greater dimensions than the usual coordinate space. As a consequence, the process of the formation of features in collisionless media (clustering or vice versa, a loss of continuity) can occur primarily in the velocity space, which, in cont

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Mesarec, Luka, Aleš Iglič, Veronika Kralj-Iglič, Wojciech Góźdź, Epifanio G. Virga, and Samo Kralj. "Curvature Potential Unveiled Topological Defect Attractors." Crystals 11, no. 5 (May 12, 2021): 539. http://dx.doi.org/10.3390/cryst11050539.

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We consider the theoretical and positional assembling of topological defects (TDs) in effectively two-dimensional nematic liquid crystal films. We use a phenomenological Helfrich–Landau–de Gennes-type mesoscopic model in which geometric shapes and nematic orientational order are expressed in terms of a curvature tensor field and a nematic tensor order parameter field. Extrinsic, intrinsic, and total curvature potentials are introduced using the parallel transport concept. These potentials reveal curvature seeded TD attractors. To test ground configurations, we used axially symmetric nematic fi

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Guo, Si Lu, and Xiao Nian Wang. "Orientation-Independent Tensor Voting Analysis." Advanced Materials Research 756-759 (September 2013): 3286–92. http://dx.doi.org/10.4028/www.scientific.net/amr.756-759.3286.

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Tensor voting framework is an approach for perceptual organization. A tensor can provide more information than scalar or vector in image processing. However, the structure of tensor also makes it not unique but orientation dependent. In this paper, to quantify properly the intrinsic orientation-independent voting process, we proposed a new description of the tensor fields, which consists of three rotationally invariant quantities. Instead of coordinate transformation, this approach does not require tensor diagonalization or eigenvalue calculation. Therefore, our approach is not susceptible to

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CIARLET, PHILIPPE G., LILIANA GRATIE, and MICHELE SERPILLI. "CESÀRO–VOLTERRA PATH INTEGRAL FORMULA ON A SURFACE." Mathematical Models and Methods in Applied Sciences 19, no. 03 (March 2009): 419–41. http://dx.doi.org/10.1142/s0218202509003486.

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If a symmetric matrix field e = (eij) of order three satisfies the Saint-Venant compatibility relations in a simply-connected open subset Ω of ℝ3, then e is the linearized strain tensor field of a displacement field v of Ω, i.e. [Formula: see text] in Ω. A classical result, due to Cesàro and Volterra, asserts that, if the field e is smooth, the unknown displacement field v(x) at any point x ∈ Ω can be explicitly written as a path integral inside Ω with endpoint x, and whose integrand is an explicit function of the functions eij and their derivatives. Now let ω be a simply-connected open subset

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GAL'TSOV, D. V., and E. A. DAVYDOV. "YANG-MILLS CONDENSATES IN COSMOLOGY." International Journal of Modern Physics: Conference Series 14 (January 2012): 316–25. http://dx.doi.org/10.1142/s201019451200743x.

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We discuss homogeneous and isotropic cosmological models driven by SU(2) gauge fields in the framework of Einstein gravity. There exists a Yang-Mills field configuration, parametrized by a single scalar function, which consists of parallel electric and magnetic fields and has the stress tensor mimicking an homogeneous and isotropic fluid. The unique SU(2) gauge theory with spontaneous symmetry breaking sharing the same property is the Yang-Mills coupled to the complex doublet Higgs, this exists only in the case of the closed universe. This model contains an intrinsic mechanism for inflation du

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FERNÁNDEZ, V. V., A. M. MOYA, and W. A. RODRIGUES. "GEOMETRIC AND EXTENSOR ALGEBRAS AND THE DIFFERENTIAL GEOMETRY OF ARBITRARY MANIFOLDS." International Journal of Geometric Methods in Modern Physics 04, no. 07 (November 2007): 1117–58. http://dx.doi.org/10.1142/s0219887807002478.

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We give in this paper which is the third in a series of four a theory of covariant derivatives of representatives of multivector and extensor fields on an arbitrary open set U ⊂ M, based on the geometric and extensor calculus on an arbitrary smooth manifold M. This is done by introducing the notion of a connection extensor field γ defining a parallelism structure on U ⊂ M, which represents in a well-defined way the action on U of the restriction there of some given connection ∇ defined on M. Also we give a novel and intrinsic presentation (i.e. one that does not depend on a chosen orthonormal

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LOHIYA, DAKSH. "ON GENERAL 'SPIN' CONNECTIONS, GRAVITATION AND ELECTRODYNAMICS." Modern Physics Letters A 04, no. 07 (April 10, 1989): 681–93. http://dx.doi.org/10.1142/s0217732389000812.

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It is known that intrinsic spin-vector-field analysis on a manifold provides as beautiful a description of the underlying geometry as does the description in terms of "world-vectors" defined on the manifold. However, requiring that a spinor connection be compatible with a corresponding 4-vector connection still leaves enough additional structure in the former to incorporate a gauge field. The resulting spin-curvature tensor is related to the Riemann tensor as well as an "electromagnetic field tensor" so definable. We advocate that the most general linear combination of dimensionally extended "

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An, Jinliang, Yuzhen Song, Yuwei Guo, Xiaoxiao Ma, and Xiangrong Zhang. "Tensor Discriminant Analysis via Compact Feature Representation for Hyperspectral Images Dimensionality Reduction." Remote Sensing 11, no. 15 (August 4, 2019): 1822. http://dx.doi.org/10.3390/rs11151822.

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Dimensionality reduction is of great importance which aims at reducing the spectral dimensionality while keeping the desirable intrinsic structure information of hyperspectral images. Tensor analysis which can retain both spatial and spectral information of hyperspectral images has caused more and more concern in the field of hyperspectral images processing. In general, a desirable low dimensionality feature representation should be discriminative and compact. To achieve this, a tensor discriminant analysis model via compact feature representation (TDA-CFR) was proposed in this paper. In TDA-C

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DEHGHANI, M. "A NEW PHYSICAL STATE FOR DE SITTER LINEAR GRAVITY." International Journal of Modern Physics A 26, no. 02 (January 20, 2011): 301–15. http://dx.doi.org/10.1142/s0217751x11051251.

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Based on conformal invariance and using Dirac's six-cone formalism, a new conformally invariant physical field equation for de Sitter (dS) linear gravity has been obtained, which corresponds to one of the unitary irreducible representations of the dS group and is denoted by [Formula: see text] in the sense of discrete series. Using ambient space notations, it has been shown that the solution to this new field equation can be written as the multiplication of a generalized symmetric polarization tensor of rank 2 and a massless conformally coupled scalar field in dS space–time. The physical tenso

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Nitschke, Ingo, Sebastian Reuther, and Axel Voigt. "Liquid crystals on deformable surfaces." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 476, no. 2241 (September 2020): 20200313. http://dx.doi.org/10.1098/rspa.2020.0313.

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Liquid crystals with molecules constrained to the tangent bundle of a curved surface show interesting phenomena resulting from the tight coupling of the elastic and bulk-free energies of the liquid crystal with geometric properties of the surface. We derive a thermodynamically consistent Landau-de Gennes-Helfrich model which considers the simultaneous relaxation of the Q -tensor field and the surface. The resulting system of tensor-valued surface partial differential equation and geometric evolution laws is numerically solved to tackle the rich dynamics of this system and to compute the result

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FARHOUDI, M. "CLASSICAL TRACE ANOMALY." International Journal of Modern Physics D 14, no. 07 (July 2005): 1233–50. http://dx.doi.org/10.1142/s0218271805006730.

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We seek an analogy of the mathematical form of the alternative form of Einstein's field equations for Lovelock's field equations. We find that the price for this analogy is to accept the existence of the trace anomaly of the energy–momentum tensor even in classical treatments. As an example, we take this analogy to any generic second order Lagrangian and exactly derive the trace anomaly relation suggested by Duff. This indicates that an intrinsic reason for the existence of such a relation should perhaps be, classically, somehow related to the covariance of the form of Einstein's equations.

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Malinin, V. G., N. A. Malinina, V. V. Malinin, A. A. Dimov, and O. A. Malukhina. "Tensor characteristics of intrinsic scattering magnetic field as an effective tool for strength diagnostics of steel products." IOP Conference Series: Materials Science and Engineering 939 (October 8, 2020): 012046. http://dx.doi.org/10.1088/1757-899x/939/1/012046.

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Schäppi, Daniel. "Which abelian tensor categories are geometric?" Journal für die reine und angewandte Mathematik (Crelles Journal) 2018, no. 734 (January 1, 2018): 145–86. http://dx.doi.org/10.1515/crelle-2014-0053.

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AbstractFor a large class of geometric objects, the passage to categories of quasi-coherent sheaves provides an embedding in the 2-category of abelian tensor categories. The notion of weakly Tannakian categories introduced by the author gives a characterization of tensor categories in the image of this embedding.However, this notion requires additional structure to be present, namely a fiber functor. For the case of classical Tannakian categories in characteristic zero, Deligne has found intrinsic properties—expressible entirely within the language of tensor categories—which are necessary and

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Bahmani, Bahador, Reza Abedi, and Philip Clarke. "A Stochastic Bulk Damage Model Based on Mohr-Coulomb Failure Criterion for Dynamic Rock Fracture." Applied Sciences 9, no. 5 (February 26, 2019): 830. http://dx.doi.org/10.3390/app9050830.

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We present a stochastic bulk damage model for rock fracture. The decomposition of strain or stress tensor to its negative and positive parts is often used to drive damage and evaluate the effective stress tensor. However, they typically fail to correctly model rock fracture in compression. We propose a damage force model based on the Mohr-Coulomb failure criterion and an effective stress relation that remedy this problem. An evolution equation specifies the rate at which damage tends to its quasi-static limit. The relaxation time of the model introduces an intrinsic length scale for dynamic fr

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Gan’shina, Elena A., L. L. Golik, Z. E. Kun’kova, Vitaly I. Kovalev, Yury V. Markin, Andrey I. Novikov, Georgy S. Zykov, et al. "Magneto-Optical Evidence for Intrinsic Ferromagnetism in (Ga,Mn)As Layers Grown by Pulsed Laser Deposition." Solid State Phenomena 233-234 (July 2015): 101–4. http://dx.doi.org/10.4028/www.scientific.net/ssp.233-234.101.

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GaMnAs layers fabricated on GaAs(001) substrates by laser ablation technique were studied using the magneto-optical transversal Kerr effect (TKE) (E = 0.5 - 4.0 eV) and spectral ellipsometry (E = 1.4 - 4.5 eV). Obtained spectral, temperature and magnetic field TKE dependences shown that the used technique allowed us to obtain ferromagnetic (Ga,Mn)As layers, whose composition was close to single-phase one (without MnAs inclusions). Spectral dependences of the off-diagonal components (e’ = e’1 - ie’2) of the permittivity tensor and also of the magnetic circular dichroism (MCD) were calculated fo

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Rüdiger, Andreas, and Rainer Waser. "Nanoscale Ferroelectrics." Advances in Science and Technology 45 (October 2006): 2392–99. http://dx.doi.org/10.4028/www.scientific.net/ast.45.2392.

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Ferroelectrics are among the most advanced materials for non-volatile storage applications. Their two thermodynamically equivalent groundstates of spontaneous polarization can be toggled between by an external electric field. We present recent progress in the fabrication, registration, manipulation and characterization of nanoscale ferroelectrics. Chemical solution deposition is adapted to a pre-registration process by e-beam lithography to fabricate registered ferroelectric nanostructures below 100 nm width. A post-processing by chemical mechanical polishing either for embedded or free grains

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DEHGHANI, M. "EVALUATION OF THE GRAVITON TWO-POINT FUNCTION IN DE SITTER SPACE." International Journal of Modern Physics A 25, no. 18n19 (July 30, 2010): 3749–64. http://dx.doi.org/10.1142/s0217751x1005010x.

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After a brief review of the linearized gravity in de Sitter (dS) four-dimensional space and ambient flat five-dimensional notations, the linearized field equation is written in terms of the Casimir operators of dS group. It is shown that the field equation is gauge invariant under some special gauge transformations. Because of this gauge freedom, a gauge-fixing parameter c is inserted in the field equation. It is shown that the solution to the field equation can be written as the multiplication of a generalized symmetric rank-2 polarization tensor and a massless minimally coupled scalar field

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DEHGHANI, M. "COVARIANT TWO-POINT FUNCTION FOR MASSLESS SPIN-2 FIELD IN DE SITTER SPACE." Modern Physics Letters A 24, no. 40 (December 28, 2009): 3283–94. http://dx.doi.org/10.1142/s0217732309031326.

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The linearized gravitational field equation in de Sitter (dS) four-dimensional space is gauge invariant under some special gauge transformations. It is also gauge invariant in ambient space notations in which the field equation is written in terms of the Casimir operators of dS group. In this paper the field equation is solved in terms of a gauge-fixed value (i.e. in the minimal case). It is shown that the solution can be written as the multiplication of a generalized symmetric rank-2 polarization tensor and a massless minimally coupled scalar field in ambient space notations. The two-point fu

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Ravishankar, Joshitha, Mansi Sharma, and Pradeep Gopalakrishnan. "A Flexible Coding Scheme Based on Block Krylov Subspace Approximation for Light Field Displays with Stacked Multiplicative Layers." Sensors 21, no. 13 (July 4, 2021): 4574. http://dx.doi.org/10.3390/s21134574.

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To create a realistic 3D perception on glasses-free displays, it is critical to support continuous motion parallax, greater depths of field, and wider fields of view. A new type of Layered or Tensor light field 3D display has attracted greater attention these days. Using only a few light-attenuating pixelized layers (e.g., LCD panels), it supports many views from different viewing directions that can be displayed simultaneously with a high resolution. This paper presents a novel flexible scheme for efficient layer-based representation and lossy compression of light fields on layered displays.

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LISBOA, RONAI, MANOEL MALHEIRO, A. S. de CASTRO, P. ALBERTO, and MANOEL FIOLHAIS. "PERTURBATIVE BREAKING OF THE PSEUDOSPIN SYMMETRY IN THE RELATIVISTIC HARMONIC OSCILLATOR." International Journal of Modern Physics D 13, no. 07 (August 2004): 1447–51. http://dx.doi.org/10.1142/s0218271804005675.

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We show that relativistic mean fields theories with scalar S, and vector V, quadratic radial potentials can generate a harmonic oscillator with exact pseudospin symmetry and positive energy bound states when S=-V. The eigenenergies are quite different from those of the non-relativistic harmonic oscillator. We also discuss a mechanism for perturbatively breaking this symmetry by introducing a tensor potential. Our results shed light into the intrinsic relativistic nature of the pseudospin symmetry, which might be important in high density systems such as neutron stars.

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Zaouter, Tony, Didier Lasseux, and Marc Prat. "Gas slip flow in a fracture: local Reynolds equation and upscaled macroscopic model." Journal of Fluid Mechanics 837 (December 21, 2017): 413–42. http://dx.doi.org/10.1017/jfm.2017.868.

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The slightly compressible flow of a gas in the slip regime within a rough fracture featuring a heterogeneous aperture field is analysed in depth in this work. Starting from the governing Navier–Stokes, continuity and gas state law equations together with a first-order slip boundary condition at the impermeable walls of the fracture, the two-dimensional slip-corrected Reynolds model is first derived, which is shown to be second-order-accurate in the local slope of the roughness asperities while being first-order-accurate in the Knudsen number. Focusing the interest on the flow-rate to pressure-

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Ali, Akram, Siraj Uddin, and Wan Othman. "Geometry of warped product pointwise semi-slant submanifolds of Kaehler manifolds." Filomat 31, no. 12 (2017): 3771–88. http://dx.doi.org/10.2298/fil1712771a.

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In this paper, we study warped product pointwise semi-slant submanifolds of a Kaehler manifold. First, we prove some characterizations results in terms of the tensor fields T and F and then, we obtain a geometric inequality for the second fundamental form in terms of intrinsic invariants. Furthermore, the equality case is also discussed. Moreover, we give some applications for Riemannian and compact Remannian submanifolds as well, i.e., we construct necessary and sufficient conditions for the non-existence of compact warped product pointwise semi-slant submanifold in complex space forms.

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Hivet, G., and A. V. Duong. "A contribution to the analysis of the intrinsic shear behavior of fabrics." Journal of Composite Materials 45, no. 6 (October 27, 2010): 695–716. http://dx.doi.org/10.1177/0021998310382315.

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The in-plane shear behavior of textile performs is the most studied mechanical property because this mode of deformation is necessary for forming on double curvature surfaces. The resulting mechanical behavior is complex and specific considering the possibilities of relative movements between yarns and fibers. Two main tests are used: the hinged framework or ‘picture frame’ and the tensile test at 45° or ‘bias test’. Nevertheless, the results obtained by different labs using these two tests on the same fabric can be significantly different. Using a simplified analytical model of the picture fr

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Kim, Lily H., Edward H. Lee, Michelle Galvez, Murat Aksoy, Stefan Skare, Rafael O’Halloran, Michael S. B. Edwards, Samantha J. Holdsworth, and Kristen W. Yeom. "Reduced field of view echo-planar imaging diffusion tensor MRI for pediatric spinal tumors." Journal of Neurosurgery: Spine 31, no. 4 (October 2019): 607–15. http://dx.doi.org/10.3171/2019.4.spine19178.

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OBJECTIVESpine MRI is a diagnostic modality for evaluating pediatric CNS tumors. Applying diffusion-weighted MRI (DWI) or diffusion tensor imaging (DTI) to the spine poses challenges due to intrinsic spinal anatomy that exacerbates various image-related artifacts, such as signal dropouts or pileups, geometrical distortions, and incomplete fat suppression. The zonal oblique multislice (ZOOM)–echo-planar imaging (EPI) technique reduces geometric distortion and image blurring by reducing the field of view (FOV) without signal aliasing into the FOV. The authors hypothesized that the ZOOM-EPI metho

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Nagayama, Tsutomu, and Atsushi Sanada. "Broadband transmission-line illusions based on transformation electromagnetic." EPJ Applied Metamaterials 6 (2019): 23. http://dx.doi.org/10.1051/epjam/2019018.

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We demonstrate broadband transmission-line illusions based on transformation electromagnetics at microwave frequencies by using the distributed full-tensor anisotropic medium. Due to an intrinsic nature of the non-resonant unit cell of the medium, the illusions operate from DC to an upper limit frequency where the homogeneous medium approximation holds. Two-dimensional groove and bump illusion media mimicking scattered waves by an original groove and a bump are designed. Their broadband and incident angle independent operations are confirmed by circuit simulations. The groove illusion medium i

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Goodman, Michael L. "Driven, dissipative, energy-conserving magnetohydrodynamic equilibria. Part 2. The screw pinch." Journal of Plasma Physics 49, no. 1 (February 1993): 125–59. http://dx.doi.org/10.1017/s002237780001686x.

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A cylindrically symmetric, electrically driven, dissipative, energy-conserving magnetohydrodynamic equilibrium model is considered. The high-magneticfield Braginskii ion thermal conductivity perpendicular to the local magnetic field and the complete electron resistivity tensor are included in an energy equation and in Ohm's law. The expressions for the resistivity tensor and thermal conductivity depend on number density, temperature, and the poloidal and axial (z-component) magnetic field, which are functions of radius that are obtained as part of the equilibrium solution. The model has plasma

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Minas, Georgios, Emmanuel Saridakis, Panayiotis Stavrinos, and Alkiviadis Triantafyllopoulos. "Bounce Cosmology in Generalized Modified Gravities." Universe 5, no. 3 (March 10, 2019): 74. http://dx.doi.org/10.3390/universe5030074.

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We investigate the bounce realization in the framework of generalized modified gravities arising from Finsler and Finsler-like geometries. In particular, a richer intrinsic geometrical structure is reflected in the appearance of extra degrees of freedom in the Friedmann equations that can drive the bounce. We examine various Finsler and Finsler-like constructions. In the cases of general very special relativity, as well as of Finsler-like gravity on the tangent bundle, we show that a bounce cannot easily be obtained. However, in the Finsler–Randers space, induced scalar anisotropy can fulfil b

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Calonne, N., C. Geindreau, F. Flin, S. Morin, B. Lesaffre, S. Rolland du Roscoat, and P. Charrier. "3-D image-based numerical computations of snow permeability: links to specific surface area, density, and microstructural anisotropy." Cryosphere Discussions 6, no. 2 (March 19, 2012): 1157–80. http://dx.doi.org/10.5194/tcd-6-1157-2012.

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Abstract. We used three-dimensional (3-D) images of snow microstructure to carry out numerical estimations of the full tensor of the intrinsic permeability of snow (K). This study was performed on 35 snow samples, spanning a wide range of seasonal snow types. Because the permeability is related to a characteristic length, we introduced a dimensionless tensor K*=K/ res2, where the equivalent sphere radius of ice grains (res) is computed from the specific surface area of snow (SSA) and the ice density (ρi) as follows: res=3/(SSA x ρi). Values of K*, the average of vertical and horizontal compone

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Popov, Yu I. "Fields of geometric objects associated with compiled hyperplane-distribution in affine space." Differential Geometry of Manifolds of Figures, no. 51 (2020): 103–15. http://dx.doi.org/10.5922/0321-4796-2020-51-12.

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A compiled hyperplane distribution is considered in an n-dimensional projective space . We will briefly call it a -distribution. Note that the plane L(A) is the distribution characteristic obtained by displacement in the center belonging to the L-subbundle. The following results were obtained: a) The existence theorem is proved: -distribution exists with arbitrary (3n – 5) functions of n arguments. b) A focal manifold is constructed in the normal plane of the 1st kind of L-subbundle. It was obtained by shifting the center A along the curves belonging to the L-distribution. A focal manifold is

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Nabias, Julie, Aktham Asfour, and Jean-Paul Yonnet. "Effect of Torsion Stress on the Offset and Sensitivity of Diagonal and Off-Diagonal GMI in Amorphous Wires." Sensors 18, no. 12 (November 24, 2018): 4121. http://dx.doi.org/10.3390/s18124121.

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In this paper, the torsional stress effect on Giant Magneto-Impedance (GMI) was studied in Co-rich amorphous wires. The study, which was conducted in the context of the development of a current clamp based on GMI, considered torsion as a parameter of the influence of this sensor. Both diagonal, Z11, and off-diagonal, Z21, components of the impedance tensor were investigated. The samples were Co-rich wires with a 100 µ diameter. The wires were twisted positive and negative angles with respect to a reference position. For each component of the impedance, the intrinsic sensitivity and offset were

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