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Recent simulation results on heat conduction in a one-dimensional chain with an asymmetric inter-particle interaction potential and no onsite potential found non-anomalous heat transport in accordance to Fourier's law. This is a surprising…

Statistical Mechanics · Physics 2015-06-17 Suman G. Das , Abhishek Dhar , Onuttom Narayan

We study heat conduction in a one-dimensional chain of particles with longitudinal as well as transverse motions. The particles are connected by two-dimensional harmonic springs together with bending angle interactions. Using equilibrium…

Statistical Mechanics · Physics 2009-11-10 Jian-Sheng Wang , Baowen Li

In this article we consider two different heat conducting fluids each modelled by the incompressible Navier-Stokes-Fourier system separated by a non-linear elastic Koiter shell. The motion of the shell changes the domain of definition of…

Analysis of PDEs · Mathematics 2026-02-12 Sourav Mitra , Sebastian Schwarzacher

A general formulation is developed to study heat conduction in disordered harmonic chains with arbitrary heat baths that satisfy the fluctuation-dissipation theorem. A simple formal expression for the heat current J is obtained, from which…

Statistical Mechanics · Physics 2009-11-07 Abhishek Dhar

Heat transport in nanoscale systems is both hard to measure microscopically, and hard to interpret. Ballistic and diffusive heat flow coexist, adding confusion. This paper looks at a very simple case: a nanoscale crystal repeated…

Mesoscale and Nanoscale Physics · Physics 2015-07-01 Philip B. Allen

An analytical model of unsteady heat transfer in a one-dimensional harmonic crystal is presented. A nonlocal temperature is introduced as a generalization of the kinetic temperature. A closed equation determining unsteady thermal processes…

Statistical Mechanics · Physics 2015-11-25 Anton M. Krivtsov

We analytically study heat conduction in a chain with interparticle interaction V(x)=lambda[1-cos(x)] and harmonic on-site potential. We start with each site of the system connected to a Langevin heat bath, and investigate the case of small…

Statistical Mechanics · Physics 2007-05-23 Emmanuel Pereira , Ricardo Falcao

Heat conduction of one-dimensional chain of equivalent rigid particles in the field of external on-site potential is considered. Zero diameters of the particles correspond to exactly integrable case with divergent heat conduction…

Condensed Matter · Physics 2009-11-10 O. V. Gendelman , A. V. Savin

We consider a d-dimensional crystal with an arbitrary harmonic interaction and an anharmonic on-site potential, with stochastic Langevin heat bath at each site. We develop an integral formalism for the correlation functions that is suitable…

Statistical Mechanics · Physics 2009-11-10 Emmanuel Pereira , Ricardo Falcao

The non-Fourier heat conduction phenomenon on room temperature is analyzed from various aspects. The first one shows its experimental side, in what form it occurs and how we treated it. It is demonstrated that the Guyer-Krumhansl equation…

We discuss the problem of heat conduction in classical and quantum low dimensional systems from a microscopic point of view. At the classical level we provide convincing numerical evidence for the validity of Fourier law of heat conduction…

Statistical Mechanics · Physics 2008-07-15 Giulio Casati , Carlos Mejia-Monasterio

As a paradigm for heat conduction in 1 dimension, we propose a class of models represented by chains of identical cells, each one of which containing an energy storage device called a "tank". Energy exchange among tanks is mediated by…

Chaotic Dynamics · Physics 2009-11-11 Jean-Pierre Eckmann , Lai-Sang Young

We show analytically that the heat conductivity of oscillator chains diverges with system size N as N^{1/3}, which is the same as for one-dimensional fluids. For long cylinders, we use the hydrodynamic equations for a crystal in one…

Statistical Mechanics · Physics 2009-11-11 Trieu Mai , Onuttom Narayan

We investigate the behavior of heat conduction in two-dimensional (2D) electron gases without and with a magnetic field. We perform simulations with the Multi-Particle-Collision approach, suitably adapted to account for the Lorenz force…

Mesoscale and Nanoscale Physics · Physics 2024-06-25 Rongxiang Luo , Qiyuan Zhang , Guanming Lin , Stefano Lepri

We study the connection between heat transport properties of systems coupled to different thermal baths in two separate regions and their underlying nonequilibrium dynamics. We consider classical systems of interacting particles that may…

Statistical Mechanics · Physics 2019-06-12 A. Ruiz-García , J. J. Fernández , D. Alonso

We consider unsteady heat transfer in a one-dimensional harmonic crystal surrounded by a viscous environment and subjected to an external heat supply. The basic equations for the crystal particles are stated in the form of a system of…

Statistical Mechanics · Physics 2022-10-31 Serge N. Gavrilov , Anton M. Krivtsov , Denis V. Tsvetkov

We derive Fourier's law for a completely coherent quasi one--dimensional chaotic quantum system coupled locally to two heat baths at different temperatures. We solve the master equation to first order in the temperature difference. We show…

Quantum Physics · Physics 2015-05-20 Thomas H. Seligman , Hans A. Weidenmueller

The thermal conductance of a one-dimensional classical inertial Heisenberg model of linear size $L$ is computed, considering the first and last particles in thermal contact with heat baths at higher and lower temperatures, $T_{h}$ and…

Statistical Mechanics · Physics 2024-02-23 Henrique Santos Lima , Constantino Tsallis , Fernando D. Nobre

Using molecular dynamics (MD) with classical interaction potentials we present calculations of thermal conductivity and heat transport in crystals and glasses. Inducing shock waves and heat pulses into the systems we study the spreading of…

Materials Science · Physics 2009-10-31 C. Oligschleger , J. C. Sch"on

To examine the evolution of giant molecular clouds in the stream of a hot plasma we performed two-dimensional hydrodynamical simulations that take full account of self-gravity, heating and cooling effects and heat conduction by electrons.…

Astrophysics · Physics 2009-11-13 W. Vieser , G. Hensler