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We analyze the non-equilibrium steady states (NESS) of a one dimensional harmonic chain of $N$ atoms with alternating masses connected to heat reservoirs at unequal temperatures. We find that the temperature profile defined through the…

数学物理 · 物理学 2015-06-03 Venkateshan Kannan , Abhishek Dhar , J. L. Lebowitz

We work out the non-equilibrium steady state properties of a harmonic lattice which is connected to heat reservoirs at different temperatures. The heat reservoirs are themselves modeled as harmonic systems. Our approach is to write quantum…

介观与纳米尺度物理 · 物理学 2009-11-11 Abhishek Dhar , Dibyendu Roy

We consider a harmonic chain in contact with thermal reservoirs at different temperatures and subject to bulk noises of different types: velocity flips or self-consistent reservoirs. While both systems have the same covariances in the…

统计力学 · 物理学 2015-05-30 Cedric Bernardin , Venkateshan Kannan , Joel L. Lebowitz , Jani Lukkarinen

We investigate the mechanism of heat conduction in ordered and disordered harmonic onedimensional chains within the quantum mechanical Langevin method. In the case of the disordered chains we find indications for normal heat conduction…

量子物理 · 物理学 2007-07-18 Christopher Gaul , Helmut Büttner

In this note, I summarise and comment on joint work with C. Bernardin, V. Kannan and J. L. Lebowitz concerning two harmonic systems with bulk noises whose nonequilibrium steady states (NESS) are nearly identical (they share the same thermal…

数学物理 · 物理学 2012-10-23 Jani Lukkarinen

We investigate, via numerical simulation, heat transport in the nonequilibrium stationary state (NESS) of the 1D classical Toda chain with an additional pinning potential, which destroys momentum conservation. The NESS is produced by…

数学物理 · 物理学 2018-01-23 Joel L. Lebowitz , Jasen A. Scaramazza

We investigate a class of anharmonic crystals in $d$ dimensions, $d\ge 1$, coupled to both external and internal heat baths of the Ornstein-Uhlenbeck type. The external heat baths, applied at the boundaries in the 1-direction, are at…

统计力学 · 物理学 2009-03-04 Federico Bonetto , Joel L. Lebowitz , Jani Lukkarinen , Stefano Olla

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…

无序系统与神经网络 · 物理学 2019-11-05 I. F. Herrera-Gonzalez , J. A. Mendez-Bermudez

We consider a one-dimensional harmonic crystal with conservative noise, in contact with two stochastic Langevin heat baths at different temperatures. The noise term consists of collisions between neighbouring oscillators that exchange their…

统计力学 · 物理学 2011-09-08 Stefano Lepri , Carlos Mejia-Monasterio , Antonio Politi

We study the transport of heat along a chain of particles interacting through a harmonic potential and subject to heat reservoirs at its ends. Each particle has two degrees of freedom and is subject to a stochastic noise that produces…

统计力学 · 物理学 2015-06-17 Gabriel T. Landi , Mario J. de Oliveira

In a recent paper [Phys. Rev. Lett. 86, 63 (2001)], Li et al have reported that the nonequilibrium heat conducting steady state of a disordered harmonic chain is not unique. In this comment we point out that for a large class of stochastic…

统计力学 · 物理学 2009-11-07 Abhishek Dhar

We consider a d-dimensional harmonic crystal in contact with a stochastic Langevin type heat bath at each site. The temperatures of the "exterior" left and right heat baths are at specified values T_L and T_R, respectively, while the…

数学物理 · 物理学 2007-05-23 Federico Bonetto , Joel L. Lebowitz , Jani Lukkarinen

We consider a chain composed of $N$ coupled harmonic oscillators in contact with heat baths at temperature $T_\ell$ and $T_r$ at sites 1 and $N$ respectively. The oscillators are also subjected to non-momentum conserving bulk stochastic…

统计力学 · 物理学 2015-05-30 Cedric Bernardin , Venkateshan Kannan , Joel L. Lebowitz , Jani Lukkarinen

We explore transport properties in a disordered nonlinear chain of classical harmonic oscillators and thereby identify a regime exhibiting behavior analogous to that seen in quantum many-body-localized systems. Through extensive numerical…

统计力学 · 物理学 2020-08-26 Manoj Kumar , Anupam Kundu , Manas Kulkarni , David A. Huse , Abhishek Dhar

In this paper, we show that a nonequilibrium steady state (NESS) exists at late times in open quantum systems with weak nonlinearity by following its nonequilibrium dynamics with a perturbative analysis. Here we consider an oscillator chain…

量子物理 · 物理学 2020-09-14 Jing Yang , Jen-Tsung Hsiang , Andrew N. Jordan , B. L. Hu

We study heat conduction in one dimensional mass disordered harmonic and anharmonic lattices. It is found that the thermal conductivity $\kappa$ of the disordered anharmonic lattice is finite at low temperature, whereas it diverges as…

统计力学 · 物理学 2009-11-07 Baowen Li , Hong Zhao , Bambi Hu

Systems in which the heat flux depends on the direction of the flow are said to present thermal rectification. This effect has attracted much theoretical and experimental interest in recent years. However, in most theoretical models the…

统计力学 · 物理学 2015-12-14 Pedro H. Guimarães , Gabriel T. Landi , Mário J. de Oliveira

Nonequilibrium molecular dynamics (NEMD) has been extensively used to study thermal transport at various length scales in many materials. In this method, two local thermostats at different temperatures are used to generate a nonequilibrium…

介观与纳米尺度物理 · 物理学 2020-01-08 Zhen Li , Shiyun Xiong , Charles Sievers , Yue Hu , Zheyong Fan , Ning Wei , Hua Bao , Shunda Chen , Davide Donadio , Tapio Ala-Nissila

We study the transport properties of a large class of locally confined Hamiltonian systems, in which neighboring particles interact through hard core elastic collisions. When these collisions become rare and the systems large, we derive a…

统计力学 · 物理学 2009-08-29 Thomas Gilbert , Raphael Lefevere

We study the dynamics of covariances in a chain of harmonic oscillators with conservative noise in contact with two stochastic Langevin heat baths. The noise amounts to random collisions between nearest-neighbour oscillators that exchange…

统计力学 · 物理学 2010-11-10 S. Lepri , C. Mejia-Monasterio , A. Politi
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