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We report the two typical models of normal heat conduction in one dimensional momentum-conserving systems. They show the Arrhenius and the non-Arrhenius temperature dependence. We construct the two corresponding phenomenologies,…

统计力学 · 物理学 2016-07-20 Dye SK Sato

We apply variational principles in the context of geometrothermodynamics. The thermodynamic phase space ${\cal T}$ and the space of equilibrium states ${\cal E}$ turn out to be described by Riemannian metrics which are invariant with…

高能物理 - 理论 · 物理学 2009-09-09 H. Quevedo , A. Sanchez , A. Vazquez

We consider a one-dimensional run-and-tumble particle (RTP) confined by an external potential and coupled to a thermal reservoir. Starting from the corresponding Fokker-Planck equation, we derive an explicit expression for the local entropy…

统计力学 · 物理学 2025-09-11 Oded Farago

We present a theory that combines the framework of irreversible thermodynamics with modified integral theorems to model arbitrarily curved and deforming membranes immersed in bulk fluid solutions. We study the coupling between the mechanics…

软凝聚态物质 · 物理学 2025-09-29 Ahmad M. Alkadri , Kranthi K. Mandadapu

I give a relatively broad survey of thermodynamic curvature $R$, one spanning results in fluids and solids, spin systems, and black hole thermodynamics. $R$ results from the thermodynamic information metric giving thermodynamic…

广义相对论与量子宇宙学 · 物理学 2015-06-17 George Ruppeiner

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…

软凝聚态物质 · 物理学 2017-12-05 Csaba Asszonyi , Attila Csatár , Tamás Fülöp

We consider an initial-boundary-value problem for a thermoelastic Kirchhoff & Love plate, thermally insulated and simply supported on the boundary, incorporating rotational inertia and a quasilinear hypoelastic response, while the heat…

偏微分方程分析 · 数学 2018-11-06 Irena Lasiecka , Michael Pokojovy , Xiang Wan

The role of thermodynamics in continuum mechanics and the derivation of the proper constitutive relations is a discussed subject of Rational Mechanics. The classical literature did not use the accumulated knowledge of thermostatics and was…

统计力学 · 物理学 2020-09-02 Peter Ván

We analyze the thermodynamics of spherically symmetric thin-shell solutions to Einstein's equations, including solutions with negative interior mass. We show the inclusion of such solutions is essential for the thermodynamic consistency of…

广义相对论与量子宇宙学 · 物理学 2024-01-17 Demetrios Kotopoulis , Charis Anastopoulos

The Lorentz covariant statistical physics and thermodynamics is formulated within the preferred frame approach. The transformation laws for geometrical and mechanical quantities such as volume and pressure as well as the Lorentz-invariant…

统计力学 · 物理学 2007-05-23 J. Rembielinski , K. A. Smolinski , G. Duniec

Within the framework of continuum mechanics, the full description Of joint motion of elastic bodies and compressible viscous fluids with taking into account thermal effects is given by the system consisting of the mass, momentum, and energy…

偏微分方程分析 · 数学 2007-05-23 Anvarbek M. Meirmanov , Sergei A. Sazhenkov

We study thermodynamic formalism of dynamical systems with non-uniform structure. Precisely, we obtain the uniqueness of equilibrium states for a family of non-uniformly expansive flows by generalizing Climenhaga-Thompson's orbit…

动力系统 · 数学 2025-04-18 Tianyu Wang , Weisheng Wu

We propose, for the first time, a two-dimensional model for the nonlinear coupling of internal gravity and thermal waves in the presence of temperature-dependent density inhomogeneity due to thermal expansion and thermal feedback in…

大气与海洋物理 · 物理学 2025-11-04 S. Das Adhikary , A. P. Misra

It was first suggested by David Z. Albert that the existence of a real, physical non-unitary process (i.e., "collapse") at the quantum level would yield a complete explanation for the Second Law of Thermodynamics (i.e., the increase in…

量子物理 · 物理学 2018-07-24 R. E. Kastner

The 4-dimensionally covariant approach to multiconstituent Newtonian fluid dynamics presented in the preceding article of this series is developed by construction of the relevant 4-dimensional stress energy tensor whose conservation in the…

天体物理学 · 物理学 2009-11-10 Brandon Carter , Nicolas Chamel

The temperature of a mechanical body has a kinetic interpretation: it describes the relative motion of particles within the body. Since the relative velocity of two particles is a Lorentz invariant, so is the temperature. In statistical…

经典物理 · 物理学 2019-02-15 Nikodem Popławski

We use the internal-variable, effective-temperature thermodynamics developed in two preceding papers to reformulate the shear-transformation-zone (STZ) theory of amorphous plasticity. As required by the preceding analysis, we make explicit…

材料科学 · 物理学 2015-05-13 Eran Bouchbinder , J. S. Langer

We establish three partial differential equation models describing the thermodynamics of the fluid, by combining the energetic variational approach, appropriate constitutive relations, and classical thermodynamics laws. What is more, by…

偏微分方程分析 · 数学 2020-11-23 Ning-An Lai , Chun Liu , Andrei Tarfulea

We study a classical many-particle system with an external control represented by a time-dependent extensive parameter in a Lagrangian. We show that thermodynamic entropy of the system is uniquely characterized as the Noether invariant…

统计力学 · 物理学 2016-04-13 Shin-ichi Sasa , Yuki Yokokura

Thermodynamics, which describes vast systems, has been reconciled with small scales, relevant to single-molecule experiments, in resource theories. Resource theories have been used to model exchanges of energy and information. Recently,…

量子物理 · 物理学 2018-02-05 Nicole Yunger Halpern