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An analytical model of high frequency oscillations of the kinetic and potential energies in a one-dimensional harmonic crystal with a substrate potential is obtained by introducing the nonlocal energies [1]. A generalization of the kinetic…

Statistical Mechanics · Physics 2018-02-07 Mikhail B. Babenkov , Anton M. Krivtsov , Denis V. Tsvetkov

A peculiarity of the hydrodynamic Navier-Stokes equations for a granular gas is the modification of the Fourier law, with the presence of an additional contribution to the heat flux that is proportional to the density gradient.…

Statistical Mechanics · Physics 2015-06-11 J. Javier Brey , M. J. Ruiz-Montero

Nonlinear self-adjointness of the anisotropic nonlinear heat equation is investigated. Mathematical models of heat conduction in anisotropic media with a source are considered and a class of self-adjoint models is identified. Conservation…

Mathematical Physics · Physics 2012-02-28 Nail H. Ibragimov , Elena D. Avdonina

Evaluation of effective or macroscopic coefficients of thermal conductivity under coupled heat and moisture transfer is presented. The paper first gives a detailed summary on the solution of a simple steady state heat conduction problem…

Materials Science · Physics 2008-11-30 J. Sykora , J. Vorel , T. Krejci , M. Sejnoha , J. Sejnoha

Heating and heat conduction in molecular junctions are considered within a general NEGF formalism. We obtain a unified description of heating in current carrying molecular junctions as well as the electron and phonon contributions to the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Michael Galperin , Mark A. Ratner , Abraham Nitzan

We discuss heat conductivity from the point of view of a variational multi-fluid model, treating entropy as a dynamical entity. We demonstrate that a two-fluid model with a massive fluid component and a massless entropy can reproduce a…

Fluid Dynamics · Physics 2011-09-07 N. Andersson , G. L. Comer

Nonreciprocal transport phenomena indicate that the forward and backward flows differ, and are attributed to broken inversion symmetry. In this paper, we study the nonreciprocity of a thermal and thermoelectric transport of electronic…

Mesoscale and Nanoscale Physics · Physics 2019-03-13 Ryota Nakai , Naoto Nagaosa

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

Theoretical framework for the isosteric heat of adsorption is developed treating the effects of the non-ideal gas behavior and the adsorbed phase volume. Rigorous thermodynamic treatment for the adsorbed phase volume is presented for…

Chemical Physics · Physics 2017-09-07 Kyaw Thu , Sourav Mitra , Bidyut Baran Saha

An inverse problem for a stationary heat transfer process is studied for a totally isolated bar on its lateral surface, made up of two consecutive sections of different, isotropic and homogeneous materials, perfectly assembly, where one of…

Analysis of PDEs · Mathematics 2021-05-28 Guillermo Federico Umbricht , Diana Rubio , Domingo Alberto Tarzia

We numerically determine the entropy for heat-conducting states, which is connected to the so-called excess heat considered as a basic quantity for steady-state thermodynamics in nonequilibrium. We adopt an efficient method to estimate the…

Statistical Mechanics · Physics 2016-08-17 Yoshiyuki Chiba , Naoko Nakagawa

The thermal properties of a material with a spatio-temporal modulation in both the thermal conductivity and the mass density are studied. The special configuration studied here consists of a modulation in a wave-like fashion. It is found…

Materials Science · Physics 2018-03-28 Daniel Torrent , Olivier Poncelet , Jean-Chirstophe Batsale

The heat conduction in an open transverse-field Ising chain is studied by using quantization in the Fock space of operators in the weak coupling regimes, i.e. the coupling is much smaller than the transverse field. The non-equilibrium…

Disordered Systems and Neural Networks · Physics 2015-05-20 Ke-Wei Sun , Chen Wang , Qing-Hu Chen

Ballistic heat transport and second sound propagation in solids is of direct relevance in electronic and energy applications at short length scales and low temperatures. Measurement or calculation of thermal conductivity, which is typically…

Statistical Mechanics · Physics 2025-12-17 Patrick K. Schelling , Antonio Martinez Margolles , Logan Echazabal

We consider viscous, heat conducting mixtures of molecularly miscible chemical species forming a fluid in which the constituents can undergo chemical reactions. Assuming a common temperature for all components, we derive a closed system of…

Fluid Dynamics · Physics 2016-04-01 Dieter Bothe , Wolfgang Dreyer

We study the constraints on reciprocal and non-reciprocal many-body radiative heat transfer imposed by symmetry and the second law of thermodynamics. We show that the symmetry of such a many-body system in general forms a magnetic group,…

Optics · Physics 2020-08-05 Cheng Guo , Shanhui Fan

Understanding and quantifying the fundamental physical property of coherence of thermal excitations is a long-standing and general problem in physics. The conventional theory, i.e. the phonon gas model, fails to describe coherence and its…

Computational Physics · Physics 2022-01-11 Zhongwei Zhang , Yangyu Guo , Marc Bescond , Jie Chen , Masahiro Nomura , Sebastian Volz

We generalize the second law of thermodynamics in its maximum work formulation for a nonequilibrium initial distribution. It is found that in an isothermal process, the Boltzmann relative entropy (H-function) is not just a Lyapunov function…

Statistical Mechanics · Physics 2015-05-13 H. -H. Hasegawa , J. Ishikawa , K. Takara , D. J. Driebe

The Navier-Stokes transport coefficients of a granular gas are obtained from the Chapman-Enskog solution to the Boltzmann equation. The granular gas is heated by the action of an external driving force (thermostat) which does work to…

Statistical Mechanics · Physics 2009-11-07 V. Garzo , J. M. Montanero

Materials in which heat and entropy can be transmitted by directed ballistic pulses can trigger new approaches to energy transduction in solids. We predict that a ballistic energy transfer mode, with heat propagation governed by a wave…

Mesoscale and Nanoscale Physics · Physics 2013-06-21 Trung V. Phan , Justin C. W. Song , Leonid S. Levitov