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It exists a large class of systems for which the traditional notion of extensivity breaks down. From experimental examples we induce two general hypothesis concerning such systems. In the first the existence of an internal coordinate system…

统计力学 · 物理学 2015-03-09 J-P. Badiali , A. El Kaabouchi

A general, uniform, rigorous and constructive thermodynamic approach to weakly nonlocal non-equilibrium thermodynamics is reviewed. A method is given to construct and restrict the evolution equations of physical theories according to the…

经典物理 · 物理学 2010-03-15 P. Ván

On the basis of the balance equations for energy-momentum, spin, particle and entropy density, an approach is considered which represents a comparatively general framework for special- and general-relativistic continuum thermodynamics. In…

广义相对论与量子宇宙学 · 物理学 2009-11-13 W. Muschik , H. -H. v. Borzeszkowski

We present a class of thermodynamic systems with constant thermodynamic curvature which, within the context of geometric approaches of thermodynamics, can be interpreted as constant thermodynamic interaction among their components. In…

数学物理 · 物理学 2013-09-05 A. C. Gutiérrez-Piñeres , C. S. López-Monsalvo , F. Nettel

We give details and derivations for the Noether invariance theory that characterizes the spatial equilibrium structure of inhomogeneous classical many-body systems, as recently proposed and investigated for bulk systems [F. Samm\"uller…

软凝聚态物质 · 物理学 2024-04-23 Sophie Hermann , Florian Sammüller , Matthias Schmidt

Rate- and state-dependent friction law for velocity-step tests is analyzed from a thermodynamic point of view. A simple macroscopic non-equilibrium thermodynamic model with a single internal variable reproduces instantaneous jump and…

地球物理 · 物理学 2014-11-19 Noa Mitsui , P. Ván

We review the progress that has been recently made in the application of time-dependent density functional theory to thermoelectric phenomena. As the field is very young, we emphasize open problems and fundamental issues. We begin by…

介观与纳米尺度物理 · 物理学 2017-04-26 F. G. Eich , M. Di Ventra , G. Vignale

The thermodynamical model of viscoelastic deformable solids at finite strains with Kelvin-Voigt rheology with a higher-order viscosity (using the concept of multipolar materials) is formulated in a fully Eulerian way in rates. Assumptions…

偏微分方程分析 · 数学 2025-02-05 Tomáš Roubíček

The general principles and logical structure of a thermodynamic formalism that incorporates strongly self-gravitating systems are presented. This framework generalizes and simplifies the formulation of thermodynamics developed by Callen.…

广义相对论与量子宇宙学 · 物理学 2011-09-09 Erik A. Martinez

This study derives the relativistic transformations of thermodynamic quantities from the Lorentz transformations applied to the four-momentum components of a thermodynamic system, which is stationary in the inertial reference frame $K_0$…

高能物理 - 唯象学 · 物理学 2025-11-07 A. S. Parvan

The frame-indifferent thermodynamically-consistent model of thermoviscoelasticity at large strain is formulated in the reference configuration with using the concept of the second-grade nonsimple materials. We focus on physically correct…

偏微分方程分析 · 数学 2020-07-15 Alexander Mielke , Tomáš Roubíček

We study non-linear rheology of a simple theoretical model developed to mimic layered systems such as lamellar structures under shear. In the present work we study a 2-dimensional version of the model which exhibits a Kosterlitz-Thouless…

统计力学 · 物理学 2009-11-13 Hajime Yoshino , Hiroshi Matsukawa , Satoshi Yukawa , Hikaru Kawamura

Quantum systems of indistinguishable particles are commonly described using the formalism of second quantisation, which relies on the assumption that any admissible quantum state must be either symmetric or anti-symmetric under particle…

量子物理 · 物理学 2023-07-13 Benjamin Yadin , Benjamin Morris , Kay Brandner

Governing equations of dissipative generalized solid mechanics are derived by thermodynamic methods in the Piola-Kirchhoff framework using the Liu procedure. The isotropic small strain case is investigated in more detail. The connection to…

经典物理 · 物理学 2014-07-21 P. Ván , A. Berezovski , C. Papenfuss

Thermodynamics is accepted as a universal truth, encompassing all macroscopic objects. Therefore, it is surprising to find that, within our current understanding, the photovoltaic effect has so far eluded the first and second laws of…

统计力学 · 物理学 2020-12-22 Ido Frenkel , Avi Niv

We present a review of the main aspects of geometrothermodynamics, an approach which allows us to associate a specific Riemannian structure to any classical thermodynamic system. In the space of equilibrium states, we consider a Legendre…

数学物理 · 物理学 2011-04-11 Hernando Quevedo , Alejandro Vazquez

This paper investigates further how the presence of a single reflecting plane wall modifies the usual Planckian forms in the thermodynamics of the massless scalar radiation in $N$-dimensional Minkowski spacetime. This is done in a rather…

高能物理 - 理论 · 物理学 2019-04-30 E. S. Moreira

The fully-implicit time discretization (i.e. the backward Euler formula) is applied to compressible nonlinear dynamical models of thermo-viscoelastic solids in the Eulerian description, i.e. in the actual deforming configuration, formulated…

数值分析 · 数学 2025-12-09 Tomáš Roubíček

The rheology of a dilute binary mixture of inertial suspension under simple shear flow is analyzed in the context of the Boltzmann kinetic equation. The effect of the surrounding viscous gas on the solid particles is accounted for by means…

软凝聚态物质 · 物理学 2023-11-27 Satoshi Takada , Hisao Hayakawa , Vicente Garzó

A general diffuse interface model with a realistic equation of state (e.g. Peng-Robinson equation of state) is proposed to describe the multi-component two-phase fluid flow based on the principles of the NVT-based framework which is a…

数值分析 · 数学 2016-11-29 Jisheng Kou , Shuyu Sun