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We study the heat current autocorrelation function (HCAF) in one-dimensional, momentum-conserving lattices. In particular, we explore if there is any relation between the decaying characteristics of the HCAF and asymmetric interparticle…

Statistical Mechanics · Physics 2016-04-20 Shunda Chen , Yong Zhang , Jiao Wang , Hong Zhao

The pioneering computer simulations of the energy relaxation mechanisms performed by Fermi, Pasta and Ulam can be considered as the first attempt of understanding energy relaxation and thus heat conduction in lattices of nonlinear…

Statistical Mechanics · Physics 2009-11-10 Stefano Lepri , Roberto Livi , Antonio Politi

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

We show that the asymmetric inter-particle interactions can induce rapid decay of the heat current correlation in one-dimensional momentum conserving lattices. When the asymmetry degree is appropriate, even exponential decay may arise. This…

Statistical Mechanics · Physics 2012-10-16 Shunda Chen , Yong Zhang , Jiao Wang , Hong Zhao

For an one-dimensional (1D) momentum conserving system, intensive studies have shown that generally its heat current autocorrelation function (HCAF) tends to decay in a power-law manner and results in the breakdown of the Fourier heat…

Statistical Mechanics · Physics 2018-04-17 Hanqing Zhao , Wen-ge Wang

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

We discuss a possibility to control a heat conductivity in simple one-dimensional models of dielectrics by means of external mechanical loads. To illustrate such possibilities we consider first a well-studied chain with degenerate…

Mesoscale and Nanoscale Physics · Physics 2013-09-16 Alexander V. Savin , Oleg V. Gendelman

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

The Letter addresses the relationship between hyperbolic equations of heat conduction and microscopic models of dielectrics. Effects of the non-stationary heat conduction are investigated in two one-dimensional models with conserved…

Statistical Mechanics · Physics 2015-05-14 Oleg V. Gendelman , Alexander V. Savin

In a dissipative Fermi-Pasta-Ulam-Tsingou chain particles interact with their nearest neighbors through anharmonic potentials and linear dissipative forces. We prove the existence of front solutions connecting two different uniformly…

Analysis of PDEs · Mathematics 2025-11-04 Michael Herrmann , Guillaume James , Karsten Matthies

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 study the model of a partially directed flexible or semi-flexible homopolymer on a square lattice, subject to an externally applied force, in a direction either parallel to, or perpendicular to the preferred direction. The polymer is…

Statistical Mechanics · Physics 2015-05-19 Pui-Man Lam , Yi Zhen

Thermal conduction in the intracluster medium has been proposed as a possible heating mechanism for offsetting central cooling losses in rich clusters of galaxies. In this study, we introduce a new formalism to model conduction in a diffuse…

Astrophysics · Physics 2007-05-23 M. Jubelgas , V. Springel , K. Dolag

We study the conduction of heat across a narrow solid strip trapped by an external potential and in contact with its own liquid. Structural changes, consisting of addition and deletion of crystal layers in the trapped solid, are produced by…

Soft Condensed Matter · Physics 2015-06-25 Debasish Chaudhuri , Abhishek Chaudhuri , Surajit Sengupta

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

Heat conduction in one-dimensional Yukawa chains is investigated. It is shown numerically that it has the abnormal heat conduction which is proportional to the system size. Effects of asymmetric external potential, the modified…

Statistical Mechanics · Physics 2007-05-23 Bambi Hu , Haibin Li , Bai-Song Xie

Heat conduction in 1-dimensional anharmonic systems is anomalous in the sense that the conductivity \kappa scales with a positive power of the system size, \kappa ~ L^\alpha. In two dimensions, previous simulations and theoretical arguments…

Statistical Mechanics · Physics 2007-05-23 P. Grassberger , L. Yang

In this work, we perform a detailed study of heat transport in one dimensional long-ranged anharmonic oscillator systems, such as the long-ranged Fermi-Pasta-Ulam-Tsingou model. For these systems, the long-ranged anharmonic potential decays…

Statistical Mechanics · Physics 2021-12-21 Debarshee Bagchi

We have numerically studied heat conduction in a few one-dimensional momentum-conserving lattices with asymmetric interparticle interactions by the nonequilibrium heat bath method, the equilibrium Green-Kubo method, and the heat current…

Statistical Mechanics · Physics 2013-11-13 Lei Wang , Bambi Hu , Baowen Li

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
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