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We derive the thermal conductivities of one-dimensional harmonic and anharmonic lattices with self-consistent heat baths (BRV lattice) from the Single-Mode Relaxation Time (SMRT) approximation. For harmonic lattice, we obtain the same…

Statistical Mechanics · Physics 2015-05-13 Nianbei Li , Baowen Li

Fluids with competing short range attraction and long range repulsive interactions between the particles can exhibit a variety of microphase separated structures. We develop a lattice-gas (generalised Ising) model and analyse the phase…

Soft Condensed Matter · Physics 2016-01-20 Blesson Chacko , Christopher Chalmers , Andrew J. Archer

The statistical mechanical behavior of weakly nonlinear multimoded optical settings is attracting increased interest during the last few years. The main purpose of this work is to numerically investigate the main factors that affect the…

We present the computer simulation results of a chain of hard point particles with alternating masses interacting on its extremes with two thermal baths at different temperatures. We found that the system obeys Fourier's law at the…

Statistical Mechanics · Physics 2009-11-07 Pedro L. Garrido , Pablo I. Hurtado , Bjoern Nadrowski

Heat conduction through the Frenkel-Kontorova (FK) lattices is numerically investigated in the presence of a deformable substrate potential. It is found that the deformation of the substrate potential has a strong influence on heat…

Statistical Mechanics · Physics 2011-02-02 Bao-quan Ai , Bambi Hu

In the study of 1D nonlinear Hamiltonian lattices, the conserved quantities play an important role in determining the actual behavior of heat conduction. Besides the total energy, total momentum and total stretch could also be conserved…

Statistical Mechanics · Physics 2016-03-23 Zhibin Gao , Nianbei Li , Baowen Li

A simple vibrational model of heat transfer in two-dimensional (2D) fluids relates the heat conductivity coefficient to the longitudinal and transverse sound velocities, specific heat, and the mean interatomic separation. This model is…

Plasma Physics · Physics 2021-01-15 Sergey Khrapak

We study heat transport in a gas of one-dimensional fermions in the presence of a small temperature gradient. At temperatures well below the Fermi energy there are two types of relaxation processes in this system, with dramatically…

Mesoscale and Nanoscale Physics · Physics 2019-05-08 K. A. Matveev , Zoran Ristivojevic

A non-Fourier thermal transport regime characterizes the heat conduction in solids with internal structure. Several thermodynamic theories attempt to explain the separation from the Fourier regime in such kind of systems. Here we develop a…

Classical Physics · Physics 2021-06-03 R. E. Gonzalez-Narvaez , M. López de Haro , F. Vázquez

We consider a stochastic heat conduction model for solids composed by N interacting atoms. The system is in contact with two heat baths at different temperature $T_\ell$ and $T_r$. The bulk dynamics conserve two quantities: the energy and…

Statistical Mechanics · Physics 2009-11-13 Cedric Bernardin

We investigate the heat conduction properties of molecular junctions comprising anharmonic interactions. We find that nonlinear interactions can lead to novel phenomena: it negative differential thermal conductance and heat rectification.…

Soft Condensed Matter · Physics 2009-11-11 Dvira Segal

Based on the semi-classical theory, we investigate the thermodynamic properties of a dipolar Fermi gas. Through a self-consistent procedure, we numerically obtain the phase space distribution function at finite temperature. We show that the…

Quantum Gases · Physics 2010-04-20 J. -N. Zhang , S. Yi

We analyze the non-Fourier dual-phase-lag heat conduction process in a three-dimensional medium heated by a moving circular or annular laser beam, which is modeled by a set of point heat sources in the cross-section. In order to solve the…

Classical Physics · Physics 2023-08-08 Kaiyuan Chen , Longkun Fan , Zhicheng Hu , Yixin Xu

We present numerical simulations of three-dimensional thermal convective flows in a cubic cell at high Rayleigh number using thermal lattice Boltzmann (LB) method. The thermal LB model is based on double distribution function approach,…

Fluid Dynamics · Physics 2020-08-05 Ao Xu , Le Shi , Heng-Dong Xi

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

Nonthermal relativistic plasmas are ubiquitous in astrophysical systems like pulsar wind nebulae and active galactic nuclei, as inferred from their emission spectra. The underlying nonthermal particle acceleration (NTPA) processes have…

High Energy Astrophysical Phenomena · Physics 2020-04-15 Kai Wong , Vladimir Zhdankin , Dmitri A. Uzdensky , Gregory R. Werner , Mitchell C. Begelman

This review provides an up-to-date account of energy transport in Fermi-Pasta-Ulam-Tsingou (FPUT) chains, a key testbed for nonequilibrium statistical physics. We discuss the transition from the historical puzzle of thermalization to the…

Statistical Mechanics · Physics 2026-02-18 Stefano Lepri , Roberto Livi , Antonio Politi

We study the dynamics of a heavy particle of mass $M$ moving in a one-dimensional repulsively interacting Fermi gas. The Fermi gas is described using the Luttinger model and bosonization. By transforming to a frame co-moving with the heavy…

Condensed Matter · Physics 2009-10-28 A. H. Castro Neto , Matthew P. A. Fisher

We study the contribution of advection by thermal velocity fluctuations to the effective diffusion coefficient in a mixture of two identical fluids. The steady-state diffusive flux in a finite system subject to a concentration gradient is…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 A. Donev , A. de la Fuente , J. B. Bell , A. L. Garcia

Multi-machine empirical scaling predicts an extremely narrow heat exhaust layer in future high magnetic field tokamaks, producing high power densities that require mitigation. In the experiments presented, the width of this exhaust layer is…