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We consider a chain of one-dimensional dipole moments connected to two thermal baths with different temperatures. The system is in nonequilibrium steady state and heat flows through it. Assuming that fluctuation of the dipole moment is a…

Statistical Mechanics · Physics 2015-06-15 Anton V. Dolgikh , Daniel S. Kosov

Atomic mass and interatomic interaction are the two key quantities that significantly affect the heat conduction carried by phonons. Here, we study the effects of long-range (LR) interatomic interaction and mass-disorder on the phonon…

Mesoscale and Nanoscale Physics · Physics 2016-11-23 Hangbo Zhou , Gang Zhang , Jian-Sheng Wang , Yong-Wei Zhang

For thermal transport in one-dimensional (1D) systems, recent studies have suggested that employing different theoretical models and different numerical simulations under different system's parameter regimes might lead to different…

Statistical Mechanics · Physics 2016-02-01 Daxing Xiong

The paper considers heat transport in diatomic one-dimensional lattices, containing equal amounts of particles with different masses. Ordering of the particles in the chain is governed by single correlation parameter -- the probability for…

Statistical Mechanics · Physics 2015-08-13 Alexander V. Savin , Vadim Zolotarevskiy , Oleg V. Gendelman

We consider heat transport in one-dimensional harmonic chains attached at its ends to Langevin heat baths. The harmonic chain has mass impurities where the separation $d$ between any two successive impurities is randomly distributed…

Disordered Systems and Neural Networks · Physics 2019-11-05 I. F. Herrera-Gonzalez , J. A. Mendez-Bermudez

To elucidate the relationship between a crystal's structure, its thermal conductivity, and its phonon dispersion characteristics, an analysis is conducted on layered diatomic Lennard-Jones crystals with various mass ratios. Lattice dynamics…

Materials Science · Physics 2007-05-23 A. J. H. McGaughey , M. I. Hussein , E. S. Landry , M. Kaviany , G. M. Hulbert

We studied the phononic heat transfer through an atomic dielectric wire with both infinite and finite lengths by using a model Hamiltonian approach. At low temperature under ballistic transport, the thermal conductance contributed by each…

Condensed Matter · Physics 2009-10-31 A. Buldum , S. Ciraci , C. Y. Fong

We investigate the energy transport in a one-dimensional lattice of oscillators with a harmonic nearest neighbor coupling and a harmonic plus quartic on-site potential. As numerically observed for particular coupling parameters before, and…

Statistical Mechanics · Physics 2007-05-23 Kenichiro Aoki , Jani Lukkarinen , Herbert Spohn

We present an exact solution for the heat conductance along a harmonic chain connecting two reservoirs at different temperatures. In this model, the end points correspond to Brownian particles with different damping coefficients. Such…

Statistical Mechanics · Physics 2020-09-09 G. A. Weiderpass , Gustavo M. Monteiro , A. O. Caldeira

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

Thermal transport is an important energy transfer process in nature. Phonon is the major energy carrier for heat in semiconductor and dielectric materials. In analogy to Ohm's law for electrical conductivity, Fourier's law is a fundamental…

Statistical Mechanics · Physics 2012-11-27 Sha Liu , Xiangfan Xu , Rongguo Xie , Gang Zhang , Baowen Li

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

We analyze the transport of heat along a chain of particles interacting through anharmonic po- tentials consisting of quartic terms in addition to harmonic quadratic terms and subject to heat reservoirs at its ends. Each particle is also…

Statistical Mechanics · Physics 2015-06-15 Gabriel T. Landi , Mario J. de Oliveira

We present computational data on the thermal conductivity of nonlinear waves in disordered chains. Disorder induces Anderson localization for linear waves and results in a vanishing conductivity. Cubic nonlinearity restores normal…

Statistical Mechanics · Physics 2015-05-27 Sergej Flach , Mikhail Ivanchenko , Nianbei Li

The thermal conductance by phonons of a quasi-one-dimensional solid with isotope or defect scattering is studied using the Landauer formalism for thermal transport. The conductance shows a crossover from localized to Ohmic behavior, just as…

Disordered Systems and Neural Networks · Physics 2009-11-13 P. G. Murphy , J. E. Moore

We study thermal transport in a chain of coupled atoms, which can vibrate in longitudinal as well as transverse directions. The particles interact through anharmonic potentials upto cubic order. The problem is treated quantum mechanically.…

Statistical Mechanics · Physics 2010-04-19 Santhosh G , Deepak Kumar

Analyses of thermal diffusivity data on complex insulators and on strongly correlated electron systems hosted in similar complex crystal structures suggest that quantum chaos is a good description for thermalization processes in these…

Strongly Correlated Electrons · Physics 2020-01-14 Jiecheng Zhang , Erik D. Kountz , Kamran Behnia , Aharon Kapitulnik

We consider $d$-dimensional chains of (an)harmonic oscillators we perturb by a noise conserving energy or energy and momentum. We review the thermal conduction properties we obtained for these systems and conclude by several open questions.

Statistical Mechanics · Physics 2009-06-22 Cedric Bernardin

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

We study the thermal conductivity, at fixed positive temperature, of a disordered lattice of harmonic oscillators, weakly coupled to each other through anharmonic potentials. The interaction is controlled by a small parameter $\epsilon >…

Statistical Mechanics · Physics 2015-06-04 François Huveneers