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In this paper, we analyze an abstract thermoelastic system, where the heat conduction follows the Cattaneo law. Zero becomes a spectrum point of the system operator when the coupling and thermal damping parameters of system satisfy specific…

Analysis of PDEs · Mathematics 2024-09-11 Chenxi Deng , Zhong-Jie Han , Zhaobin Kuang , Qiong Zhang

Extended theories are widely used in the literature to describe relativistic fluids. The motivation for this is mostly due to the causality issues allegedly present in the first order in the gradients theories. However, the decay of…

General Relativity and Quantum Cosmology · Physics 2015-06-11 A. L. Garcia-Perciante , H. Mondragon-Suarez , D. Brun-Battistini , A. Sandoval-Villalbazo

We design a class of spatially inhomogeneous heat spreaders in the context of steady-state thermal conduction leading to spatially uniform thermal fields across a large convective surface. Each spreader has a funnel-shaped design, either in…

Materials Science · Physics 2022-02-25 Eleanor R. Russell , Raphaël C. Assier , William J. Parnell

When a swollen, thermoresponsive polymer gel is heated in a solvent bath, it expels solvent and deswells. When this heating is slow, deswelling proceeds homogeneously, as observed in a toroid-shaped gel that changes volume whilst…

In the paper, we investigate the nonlinear thermoelasticity model in two- and three-dimensional convex and bounded domains. We propose new boundary conditions for the displacement. These conditions are not usual in thermoelasticity.…

Analysis of PDEs · Mathematics 2026-01-09 Piotr Michał Bies

Thermoelastic phenomena associated with orientational phase transition in solid C60 are considered. Coupling of the order parameter with elastic strain is analyzed in the Landau theory of phase transitions. Wide range of possible…

Condensed Matter · Physics 2016-08-31 M. A. Fradkin

By the adoption of a quaternion orientational order parameter to describe solidification, the topological origins of the thermal transport properties of crystalline and non-crystalline solid states are considered herein. Global…

Soft Condensed Matter · Physics 2019-06-13 Caroline S. Gorham , David E. Laughlin

We study a repulsive thermal system governed by odd interactions. The interplay between oddness and inertia induces a non-equilibrium phase transition from a homogeneous to a non-homogeneous phase, characterized by bubbles induced by odd…

Soft Condensed Matter · Physics 2024-07-10 Lorenzo Caprini , Umberto Marini Bettolo Marconi

We present the foundations of a projective geometric theory of elasticity, as well as outline a few possible application possibilities. We give the description of the Cauchy stress and infinitesimal strain tensors compatible with coordinate…

Classical Physics · Physics 2024-06-12 Tamás Baranyai

In the present article, we consider a thermoelastic plate of Reissner-Mindlin-Timoshenko type with the hyperbolic heat conduction arising from Cattaneo's law. In the absense of any additional mechanical dissipations, the system is often not…

Analysis of PDEs · Mathematics 2015-06-18 Michael Pokojovy

The generalized zeroth law of thermodynamics indicates that the physical temperature in nonextensive statistical mechanics is different from the inverse of the Lagrange multiplier, beta. This leads to modifications of some of thermodynamic…

Statistical Mechanics · Physics 2009-10-31 Sumiyoshi Abe , S. Martinez , F. Pennini , A. Plastino

We derive expressions for the lowest nonlinear elastic constants of amorphous solids in athermal conditions (up to third order), in terms of the interaction potential between the constituent particles. The effect of these constants cannot…

Statistical Mechanics · Physics 2015-05-18 Smarajit Karmakar , Edan Lerner , Itamar Procaccia

The fundamental dynamic stability of heat conduction theories beyond Fourier is analyzed in the framework of nonequilibrium thermodynamics. It is shown, that the thermodynamic framework, concave entropy and nonnegative entropy production,…

Statistical Mechanics · Physics 2026-01-06 R. Somogyfoki , A. Famà , L. Restuccia , P. Ván

Parity-odd transport is a central signature of chiral fluids, yet analytical predictions are sparse. Here, we introduce a minimal two-dimensional hard-disk gas in which chirality arises solely from a collision-induced transverse impulse.…

Statistical Mechanics · Physics 2026-03-05 Raphael Maire , Alessandro Petrini , Umberto Marini Bettolo Marconi , Lorenzo Caprini

We propose a system of conservation laws with relaxation source terms (i.e. balance laws) for non-isothermal viscoelastic flows of Maxwell fluids. The system is an extension of the polyconvex elastodynamics of hyperelastic bodies using…

Analysis of PDEs · Mathematics 2021-04-27 Sébastien Boyaval , Mark Dostalík

We report an ultrasonic investigation of the elastic moduli on a single crystal of hexagonal YMnO_3 as a function of temperature. Stiffening anomalies in the antiferromagnetic N\'eel state below T_N = 72.4 K are observed on all the four…

Strongly Correlated Electrons · Physics 2007-08-07 Mario Poirier , Francis Laliberte , Loreynne Pinsard , Alexandre Revcolevschi

Mechanical and elastic properties of materials are among the most fundamental quantities for many engineering and industrial applications. Here, we present a formulation that is efficient and accurate for calculating the elastic and bending…

Materials Science · Physics 2026-03-23 Changpeng Lin , Samuel Poncé , Francesco Macheda , Francesco Mauri , Nicola Marzari

Rocks are important examples for solid materials where, in various engineering situations, elastic, thermal expansion, rheological/viscoelastic and plastic phenomena each may play a remarkable role. Nonequilibrium continuum thermodynamics…

Soft Condensed Matter · Physics 2017-12-05 Csaba Asszonyi , Attila Csatár , Tamás Fülöp

When time reversal is broken the viscosity tensor can have a non vanishing odd part. In two dimensions, and only then, such odd viscosity is compatible with isotropy. Elementary and basic features of odd viscosity are examined by…

Fluid Dynamics · Physics 2007-05-23 J. E. Avron

We formulate and prove a periodic analog of Maxwell's theorem relating stressed planar frameworks and their liftings to polyhedral surfaces with spherical topology. We use our lifting theorem to prove deformation and rigidity-theoretic…

Metric Geometry · Mathematics 2015-01-16 Ciprian S. Borcea , Ileana Streinu
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