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A thermodynamically consistent visco-elastodynamical model at finite strains is derived that also allows for inelasticity (like plasticity or creep), thermal coupling, and poroelasticity with diffusion. The theory is developed in the…

Mathematical Physics · Physics 2024-04-17 Alexander Mielke , Tomáš Roubíček

This paper presents a nonequilibrium thermodynamic model for the relaxation of a local, isolated system in nonequilibrium using the principle of steepest entropy ascent (SEA), which can be expressed as a variational principle in…

Statistical Mechanics · Physics 2016-09-21 Guanchen Li , Michael R. von Spakovsky

The flow of fluid confined between a heated rotating cylinder and a cooled stationary cylinder is a canonical experiment for the study of heat transfer in engineering. The theoretical treatment of this system is greatly simplified if the…

Fluid Dynamics · Physics 2015-09-15 Jose M. Lopez , Francisco Marques , Marc Avila

We consider a general compressible, viscous, heat and magnetically conducting fluid described by the compressible Navier-Stokes-Fourier system coupled with induction equation. In particular, we do not assume conservative boundary conditions…

Analysis of PDEs · Mathematics 2025-04-21 Piotr Gwiazda , Florian Oschmann , Aneta Wróblewska-Kamińska

We describe results of computer simulations of steady state heat transport in a fluid of hard discs undergoing both elastic interparticle collisions and velocity randomizing collisions which do not conserve momentum. The system consists of…

Statistical Mechanics · Physics 2020-06-24 Pedro L. Garrido , Joel L. Lebowitz

Heat and energy are conceptually different, but often are assumed to be the same without justification. An effective method for investigating diffusion properties in equilibrium systems is discussed. With this method, we demonstrate that…

Statistical Mechanics · Physics 2015-11-03 Shunda Chen , Yong Zhang , Jiao Wang , Hong Zhao

The microscopic origins of Fourier's venerable law of thermal transport in quantum electron systems has remained somewhat of a mystery, given that previous derivations were forced to invoke intrinsic scattering rates far exceeding those…

Mesoscale and Nanoscale Physics · Physics 2025-10-09 Sosuke Inui , Charles A. Stafford , Justin P. Bergfield

The lack of formulation of macroscopic equations for irreversible dynamics of viscous heat-conducting media compatible with the causality principle of Einstein's Special Relativity and the Euler-Lagrange structure of General Relativity is a…

General Relativity and Quantum Cosmology · Physics 2020-03-31 Evgeniy Romenski , Ilya Peshkov , Michael Dumbser , and Francesco Fambri

Relativistic heat transport in electron-two-temperature plasmas with density gradients has been investigated. The Legendre expansion analysis of relativistically modified kinetic equations shows that strong inhibition of heat flux appears…

Plasma Physics · Physics 2009-11-10 Mitsuru Honda

In the context of a nonequilibrium statistical thermodynamics, based on a nonequilibrium statistical ensemble formalism, a generalized hydrodynamics of fluids under driven flow and shear stress is derived. At the thermodynamic level, the…

Statistical Mechanics · Physics 2021-09-21 Clóves Gonçalves Rodrigues , José G. Ramos , Carlos A. B. Silva , Roberto Luzzi

We investigate a heating phenomenon in periodically driven integrable systems that can be mapped to free-fermion models. We find that heating to the high-temperature state, which is a typical scenario in non-integrable systems, can also…

Statistical Mechanics · Physics 2018-06-05 Takashi Ishii , Tomotaka Kuwahara , Takashi Mori , Naomichi Hatano

We study anomalous transport in a one-dimensional system with two conserved quantities in presence of thermal baths. In this system we derive exact expressions of the temperature profile and the two point correlations in steady state as…

Statistical Mechanics · Physics 2018-10-10 Priyanka , Aritra Kundu , Abhishek Dhar , Anupam Kundu

In the study of the heat transfer in the Boltzmann theory, the basic problem is to construct solutions to the steady problem for the Boltzmann equation in a general bounded domain with diffuse reflection boundary conditions corresponding to…

Mathematical Physics · Physics 2012-02-14 Raffaele Esposito , Yan Guo , Chanwoo Kim , Rossana Marra

It is necessary to use more general models than the classical Fourier heat conduction law to describe small-scale thermal conductivity processes. The effects of heat flow memory and heat capacity memory (internal energy) in solids are…

Numerical Analysis · Mathematics 2021-11-30 Petr N. Vabishchevich

In this paper, thermal transport in bond-disordered harmonic chains is revisited in detail using a nonequilibrium Green's function formalism. For strong bond disorder, thermal conductivity is independent of the system size. However, kinetic…

Statistical Mechanics · Physics 2021-10-25 Kiminori Hattori , Shohei Kumatoriya

We present and discuss the two-generator framework of nonequilibrium thermodynamics known as GENERIC ("general equation for the nonequilibrium reversible-irreversible coupling"), which is based on geometric concepts and on statistical…

Soft Condensed Matter · Physics 2018-10-22 Hans Christian Öttinger

In this work, we investigate the heat flow of two interacting quantum systems on the perspective of noncommutativity phase-space effects and show that by controlling the new constants introduced in the quantum theory, due to a deformed…

Quantum Physics · Physics 2020-12-25 Jonas F. G. Santos

We derive the macroscopic Fourier's Law of heat conduction from the exact gain-loss time convolutionless quantum master equation under three assumptions for the interaction kernel. To second order in the interaction, we show that the first…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Lian-Ao Wu , Dvira Segal

Open system simulations of quantum transport provide a platform for the study of true steady states, Floquet states, and the role of temperature, time-dynamics, and fluctuations, among other physical processes. They are rapidly gaining…

Quantum Physics · Physics 2021-02-23 Michael Zwolak

We present here the computation of electrical and thermal conductivity by solving the Boltzmann transport equation in relaxation time approximation. We use the $q$-generalized Boltzmann distribution function to incorporate the effects of…

High Energy Physics - Phenomenology · Physics 2019-08-01 Rutuparna Rath , Sushanta Tripathy , Bhaswar Chatterjee , Raghunath Sahoo , Swatantra K. Tiwari , Abhishek Nath