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Effective theory arguments are used to derive the most general energy-momentum tensor of a relativistic viscous fluid with an arbitrary equation of state (in the absence of other conserved currents) that is first-order in the derivatives of…

广义相对论与量子宇宙学 · 物理学 2022-02-22 Fábio S. Bemfica , Marcelo M. Disconzi , Jorge Noronha

In this paper, we investigate the thermodynamics especially the Joule-Thomson expansion of the $n$-dimensional FRW (Friedmann-Robertson-Walker) universe with a perfect fluid. We derive the thermodynamic equations of state $P=P(V, T)$ for…

广义相对论与量子宇宙学 · 物理学 2025-09-29 Haximjan Abdusattar , Shi-Bei Kong , Minawar Omar , Zhong-Wen Feng

According to the dynamic van der Waals theory, we propose a thermodynamically consistent model for non-isothermal compressible two-phase flows with contact line motion. In this model, fluid temperature is treated as a primary variable,…

流体动力学 · 物理学 2025-08-11 Junkai Wang , Qiaolin He

In the one-dimensional isothermal case, we introduce a simple model of nonlinear viscoelasticity within the Rational Extended Thermodynamics (RET) framework. The differential system is determined by the universal principles of RET,…

软凝聚态物质 · 物理学 2024-01-29 Tommaso Ruggeri

Noether invariance in statistical mechanics provides fundamental connections between the symmetries of a physical system and its conservation laws and sum rules. The latter are exact identities that involve statistically averaged forces and…

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

The rheology of biological tissue is key to processes such as embryo development, wound healing and cancer metastasis. Vertex models of confluent tissue monolayers have uncovered a spontaneous liquid-solid transition tuned by cell shape;…

软凝聚态物质 · 物理学 2023-10-02 Suzanne M. Fielding , James O. Cochran , Junxiang Huang , Dapeng Bi , M. Cristina Marchetti

The geometry of thermodynamic state space is studied for asymptotically anti-de Sitter black holes in D-dimensional space times. Convexity of thermodynamic potentials and the analytic structure of the response functions is analysed. The…

广义相对论与量子宇宙学 · 物理学 2015-08-19 Brian P. Dolan

Classical thermodynamics describes physical systems in thermodynamic equilibrium, characterized in particular by the absence of macroscopic motion. Global non-equilibrium thermodynamics extends this framework to include physical systems in…

Nonequilibrium thermodynamics of a general second-order stochastic system is investigated. We prove that at steady state, under inversion of velocities, the condition of time-reversibility over the phase space is equivalent to the…

统计力学 · 物理学 2015-10-28 Hao Ge

In this note we compare the entropy principle and the objectivity arguments in the methodologies of Dunn and Serrin [1] and in the more recent weakly nonlocal thermodynamic analysis of Korteweg-type fluids in [2]. It is concluded that the…

统计力学 · 物理学 2026-01-06 Peter Ván

We obtain a new phantom black plane solution in 4D of the Einstein-Maxwell theory coupled with a cosmological constant. We analyse their basic properties, as well as its causal structure, and obtain the extensive and intensive thermodynamic…

广义相对论与量子宇宙学 · 物理学 2013-10-30 Manuel E. Rodrigues , Deborah F. Jardim , M. J. S. Houndjo , Ratbay Myrzakulov

It may be a common understanding at present that, once event horizons are in thermal equilibrium, the entropy-area law holds inevitably. However, no rigorous verification is given to such a very strong universality of the law in…

广义相对论与量子宇宙学 · 物理学 2011-09-06 Hiromi Saida

We study the rheology of dry and wet granular materials in the steady quasistatic regime using the Discrete Element Method (DEM) in a split-bottom ring shear cell with focus on the macroscopic friction. The aim of our study is to understand…

软凝聚态物质 · 物理学 2016-09-13 Sudeshna Roy , Stefan Luding , Thomas Weinhart

We propose a thermodynamic formalism, within the particle-frame, for the energy-momentum tensor of irreversible anisotropic imperfect fluids subject to causality. Building on the Israel-Stewart extension of Eckart's theory, we further…

广义相对论与量子宇宙学 · 物理学 2025-06-09 José Díaz Polanco , José Ayala , Luis Viza

We consider vibrations of an inhomogeneous flexible structure modeled by a $1$D viscoelastic equation with Kelvin-Voigt, coupled with an expected dissipative effect : heat conduction governed by Cattaneo's law (second sound). We establish…

偏微分方程分析 · 数学 2015-06-08 Margareth S. Alves , Pedro R. Gamboa , G. Gorain , Amelie Rambaud , Octavio V. Vera

Extended irreversible thermodynamics is a theory that expands the classical framework of nonequilibrium thermodynamics by going beyond the local-equilibrium assumption. A notable example of this is the Maxwell-Cattaneo heat flux model,…

数学物理 · 物理学 2025-09-18 François Gay-Balmaz

We investigate the thermodynamics of a spatially flat Friedmann-Robertson-Walker (FRW) universe within the framework of Generalized Proca (GP) theory, a comprehensive vector-tensor theory. By adopting two distinct dark energy models in GP,…

广义相对论与量子宇宙学 · 物理学 2026-01-21 Aofei Sang

We study the thermodynamic entropy as a Noether invariant in a stochastic process. Following the Onsager theory, we consider the Langevin equation for a thermodynamic variable in a thermally isolated system. By analyzing the…

统计力学 · 物理学 2020-02-19 Yuki Minami , Shin-ichi Sasa

Dynamics of a self-gravitating shell of matter is derived from the Hilbert variational principle and then described as an (infinite dimensional, constrained) Hamiltonian system. A method used here enables us to define singular Riemann…

广义相对论与量子宇宙学 · 物理学 2009-11-11 Jerzy Kijowski , Ewa Czuchry

We establish the nonlocal generalization of the Israel-Stewart model for the relativistic causal thermodynamics of the cosmic fluid, which evolves in the homogeneous isotropic Universe. Based on the second law of thermodynamics we derive…

广义相对论与量子宇宙学 · 物理学 2022-01-26 Alexander B. Balakin , Alexei S. Ilin
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