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We show that the asymmetric inter-particle interactions may induce rapid decay of heat current autocorrelation in one-dimensional momentum conserving lattices. When the asymmetry degree and the temperature are appropriate, the decay is…

Statistical Mechanics · Physics 2013-09-30 Shunda Chen , Yong Zhang , Jiao Wang , Hong Zhao

The paper investigates non-stationary heat conduction in one-dimensional models with substrate potential. In order to establish universal characteristic properties of the process, we explore three different models --- Frenkel-Kontorova…

Statistical Mechanics · Physics 2015-05-30 O. V. Gendelman , R. Shvartsman , B. Madar , A. V. Savin

Heat conduction in low-dimensional systems exhibits strong deviations from Fourier behavior due to anharmonicity and long-lived vibrational correlations, challenging conventional computational approaches. The…

We investigate thermal conduction in arrays of long-range interacting rotors and Fermi-Pasta-Ulam (FPU) oscillators coupled to two reservoirs at different temperatures. The strength of the interaction between two lattice sites decays as a…

Statistical Mechanics · Physics 2018-03-14 Stefano Iubini , Pierfrancesco Di Cintio , Stefano Lepri , Roberto Livi , Lapo Casetti

We investigate the energy relaxation process produced by thermal baths at zero temperature acting on the boundary atoms of chains of classical anharmonic oscillators. Time-dependent perturbation theory allows us to obtain an explicit…

Chaotic Dynamics · Physics 2016-09-08 F. Piazza , S. Lepri , R. Livi

Recent work has developed a nonlinear hydrodynamic fluctuation theory for a chain of coupled anharmonic oscillators governing the conserved fields, namely stretch, momentum, and energy. The linear theory yields two propagating sound modes…

Statistical Mechanics · Physics 2014-07-30 Suman G. Das , Abhishek Dhar , Keiji Saito , Christian B. Mendl , Herbert Spohn

The paper considers heat conduction in a model chain of composite particles with hard core and elastic external shell. Such model mimics three main features of realistic interatomic potentials - hard repulsive core, quasilinear behavior in…

Statistical Mechanics · Physics 2015-08-13 V. Zolotarevskiy , A. V. Savin , O. V. Gendelman

We address the problem of heat conduction in 1-D nonlinear chains; we show that, acting on the parameter which controls the strength of the on site potential inside a segment of the chain, we induce a transition from conducting to…

Statistical Mechanics · Physics 2009-11-07 M. Terraneo , M. Peyrard , G. Casati

We study the thermal conduction behaviors of one-dimensional lattice models with asymmetry harmonic interparticle interactions in this paper. Normal thermal conductivity independent of the system size is observed when the lattice chains are…

Statistical Mechanics · Physics 2015-11-03 Yi Zhong , Yong Zhang , Jiao Wang , Hong Zhao

Electron heat conduction is one of the ways that energy transports in laser heating of fusible target material. The aim of Inertial Confinement Fusion (ICF) is to show that the thermal conductivity is strongly dependent on temperature and…

Plasma Physics · Physics 2011-11-24 A. Mohammadian Pourtalari , M. A. Jafarizadeh , M. Ghoranneviss

This paper consists of two parts. The first part proposes a new methodological framework within which the heat conductivity in 1D lattices can be studied. The total process of heat conductivity is decomposed into two contributions where the…

Chaotic Dynamics · Physics 2011-03-21 T. Yu. Astakhova , V. N. Likhachev , G. A. Vinogradov

We present a detailed analysis of the modulational instability of the zone-boundary mode for one and higher-dimensional Fermi--Pasta--Ulam (FPU) lattices. The growth of the instability is followed by a process of relaxation to…

Pattern Formation and Solitons · Physics 2015-04-08 Thierry Dauxois , R. Khomeriki , S. Ruffo

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 apply collisionless particle-in-cell simulations of relativistic pair plasmas to explore whether driven turbulence is a viable high-energy astrophysical particle accelerator. We characterize nonthermal particle distributions for varying…

High Energy Astrophysical Phenomena · Physics 2018-12-17 Vladimir Zhdankin , Dmitri A. Uzdensky , Gregory R. Werner , Mitchell C. Begelman

Self-organization and nonequilibrium phase transitions are well known to occur in two- and three- dimensional dissipative systems. Here, instead, we provide numerical evidence that these phenomena also occur in a one-dimensional Hamiltonian…

Statistical Mechanics · Physics 2017-01-31 Jiao Wang , Giulio Casati

In weakly magnetized, dilute plasmas in which thermal conduction along magnetic field lines is important, the usual convective stability criterion is modified. Instead of depending on entropy gradients, instability occurs for small…

Astrophysics · Physics 2009-11-13 Ian J. Parrish , James M. Stone

The ding-a-ling model is a kind of half lattice and half hard-point-gas (HPG) model. The original ding-a-ling model proposed by Casati {\it et.al} does not conserve total momentum and has been found to exhibit normal heat conduction…

Statistical Mechanics · Physics 2016-02-10 Zhibin Gao , Nianbei Li , Baowen Li

In the present communication we consider the one-dimensional (1D) isotopically disordered lattice with the harmonic potential. Our analytical method is adequate for any 1D lattice where potential energy can be presented as the quadratic…

Disordered Systems and Neural Networks · Physics 2007-05-23 Vladimir N. Likhachev , Juraj Szavits-Nossan , George A. Vinogradov

We perform non-equilibrium simulations to study heat conduction in two-dimensional strongly coupled dusty plasmas. Temperature gradients are established by heating one part of the otherwise equilibrium system to a higher temperature. Heat…

Plasma Physics · Physics 2015-05-13 Lu-Jing Hou , Alexander Piel

Numerical studies of some unidimensional systems suggest that Fourier law is satisfied, where theory predicts a divergence of heat conductivity with the system size. Here, I revisit some such models, finding that in all cases a divergence…

Statistical Mechanics · Physics 2026-01-29 Antonio Politi