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We present a model independent, operator algebraic approach to non-equilibrium quantum thermodynamics within the framework of two-dimensional Conformal Field Theory. Two infinite reservoirs in equilibrium at their own temperatures and…

High Energy Physics - Theory · Physics 2017-09-13 Stefan Hollands , Roberto Longo

In this paper, we consider a non-isothermal electrokinetic model, which is derived from the Energetic Variational Approach. The charge transport is described through the Poisson-Nernst-Planck equations with variable temperature, and the…

Analysis of PDEs · Mathematics 2020-01-24 Chia-Yu Hsieh , Tai-Chia Lin , Chun Liu , Pei Liu

In this paper, we study transport features of a one-dimensional beam-plasma system in the presence of multiple resonances. As a model description of the general problem of a warm energetic particle beam, we assume $n$ cold supra-thermal…

Plasma Physics · Physics 2015-09-07 Nakia Carlevaro , Matteo V. Falessi , Giovanni Montani , Fulvio Zonca

The historical development of the Carnot cycle necessitated the construction of isothermal and adiabatic pathways within the cycle that were also mechanically "reversible" which lead eventually to the Kelvin-Clausius development of the…

General Physics · Physics 2015-06-22 Christopher G. Jesudason

The problem of heat conduction in one-dimensional piecewise homogeneous composite materials is examined by providing an explicit solution of the one-dimensional heat equation in each domain. The location of the interfaces is known, but…

Mathematical Physics · Physics 2016-04-11 Bernard Deconinck , Beatrice Pelloni , Natalie Sheils

The nonextensive thermodynamic relations are expressed under the assumption of temperature duality, endowing the "physical temperature" and the "Lagrange temperature" in different physical sense. Based on this assumption, two sets of…

Statistical Mechanics · Physics 2016-10-18 Yahui Zheng , Jiulin Du

Heat shuttling phenomenon is characterized by the presence of a non-zero heat flow between two bodies without net thermal bias on average. It was initially predicted in the context of nonlinear heat conduction within atomic lattices coupled…

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

We use the dynamic length and time scale separation in suspensions to formulate a general description of colloidal thermophoresis. Our approach allows an unambiguous definition of separate contributions to the colloidal flux and clarifies…

Soft Condensed Matter · Physics 2017-12-19 Jerome Burelbach , Daan Frenkel , Ignacio Pagonabarraga , Erika Eiser

We calculate the temperature dependence of the transport properties of heavy-fermion systems such as resistivity, optical conductivity, thermoelectric power, the electronic part of the thermal conductivity, and the "figure of merit." The…

Strongly Correlated Electrons · Physics 2009-11-11 Claas Grenzebach , Frithjof B. Anders , Gerd Czycholl , Thomas Pruschke

A type-I model of non-isothermal multicomponent systems of gases describing mass diffusive and heat conductive phenomena is presented. The derivation of the model and a convergence result among thermomechanical theories in the smooth regime…

Analysis of PDEs · Mathematics 2023-01-24 Stefanos Georgiadis , Ansgar Jüngel , Athanasios Tzavaras

The energy partitioning during activation and relaxation events under steady-state conditions for a Brownian particle driven by multiple thermal reservoirs of different local temperatures is investigated. Specifically, we apply the…

Statistical Mechanics · Physics 2019-08-02 Galen T. Craven , Renai Chen , Abraham Nitzan

We study the equilibrium and near-equilibrium properties of a holographic five-dimensional model consisting of Einstein gravity coupled to a scalar field with a non-trivial potential. The dual four-dimensional gauge theory is not conformal…

The microscopic mechanism of thermal transport in liquids and amorphous solids has been an outstanding problem for a long time. There have been several different approaches to explain the thermal conductivities for these systems, for…

Soft Condensed Matter · Physics 2020-09-29 Qing Xi , Jinxin Zhong , Jixiong He , Xiangfan Xu , Tsuneyoshi Nakayama , Yuanyuan Wang , Jun Liu , Jun Zhou , Baowen Li

We consider and compare four Hamiltonian formulations of thermostated mechanics, three of them kinetic, and the other one configurational. Though all four approaches ``work'' at equilibrium, their application to many-body nonequilibrium…

Chaotic Dynamics · Physics 2009-11-13 Wm G Hoover , Carol G Hoover

Within the theory of interacting continua, we develop a model for a heat conducting mixture of two interacting fluids described in terms of the densities and the velocities for each fluid and the temperature field for the mixture as a…

Soft Condensed Matter · Physics 2021-09-02 Josef Málek , Ondřej Souček

Heat conduction in three-dimensional nonlinear lattices is investigated using a particle dynamics simulation. The system is a simple three-dimensional extension of the Fermi-Pasta-Ulam $\beta$ (FPU-$\beta$) nonlinear lattices, in which the…

Statistical Mechanics · Physics 2010-04-07 Hayato Shiba , Satoshi Yukawa , Nobuyasu Ito

Heat management is crucial in the design of nanoscale devices as the operating temperature determines their efficiency and lifetime. Past experimental and theoretical works exploring nanoscale heat transport in semiconductors addressed…

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

Nonlinear thermoelastic systems play a crucial role in understanding thermal conductivity, stresses, elasticity, and temperature interactions. This research focuses on finding solutions to these systems in their fractional forms, which is a…

Analysis of PDEs · Mathematics 2025-01-13 Qasim Khan