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We study heat conduction in quantum disordered harmonic chains connected to general heat reservoirs which are modeled as infinite collection of oscillators. Formal exact expressions for the thermal current are obtained and it is shown that,…

介观与纳米尺度物理 · 物理学 2007-05-23 Abhishek Dhar

We study the problem of heat conduction in a mass-disordered two-dimensional harmonic crystal. Using two different stochastic heat baths, we perform simulations to determine the system size (L) dependence of the heat current (J). For white…

无序系统与神经网络 · 物理学 2009-11-10 Lik Wee Lee , Abhishek Dhar

We investigate the steady state heat current in two and three dimensional disordered harmonic crystals in a slab geometry, connected at the boundaries to stochastic white noise heat baths at different temperatures.The disorder causes short…

无序系统与神经网络 · 物理学 2015-05-13 Abhishek Chaudhuri , Anupam Kundu , Dibyendu Roy , Abhishek Dhar , Joel L. Lebowitz , Herbert Spohn

We continue the investigation, started in [J. Stat. Phys. 166, 926-1015 (2017)], of a network of harmonic oscillators driven out of thermal equilibrium by heat reservoirs. We study the statistics of the fluctuations of the heat fluxes…

数学物理 · 物理学 2020-08-07 Mondher Damak , Mayssa Hammami , Claude-Alain Pillet

Heat transport in open quantum systems is particularly susceptible to the modeling of system-reservoir interactions. It thus requires to consistently treat the coupling between a quantum system and its environment. While perturbative…

统计力学 · 物理学 2017-06-07 Thomas Motz , Joachim Ankerhold , Jürgen T. Stockburger

We study heat conduction mediated by longitudinal phonons in one dimensional disordered harmonic chains. Using scaling properties of the phonon density of states and localization in disordered systems, we find non-trivial scaling of the…

无序系统与神经网络 · 物理学 2020-03-11 Biswarup Ash , Ariel Amir , Yohai Bar-Sinai , Yuval Oreg , Yoseph Imry

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 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

We investigate the properties of a harmonic chain in contact with a thermal bath at one end and subjected, at its other end, to a periodic force. The particles also undergo a random velocity reversal action, which results in a finite heat…

数学物理 · 物理学 2023-03-01 Tomasz Komorowski , Joel L. Lebowitz , Stefano Olla

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 the large deviation function for a classical harmonic chain composed of N particles driven at the end points by heat reservoirs, first derived in the quantum regime by Saito and Dhar and in the classical regime by Saito and Dhar…

统计力学 · 物理学 2014-10-08 Hans C. Fogedby , Alberto Imparato

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…

统计力学 · 物理学 2020-09-09 G. A. Weiderpass , Gustavo M. Monteiro , A. O. Caldeira

We address the question of the effect of disorder on heat conduction in an anharmonic chain with interactions given by the Fermi-Pasta-Ulam (FPU) potential. In contrast to the conclusions of an earlier paper [Phys. Rev. Lett. 86, 63 (2001)]…

无序系统与神经网络 · 物理学 2010-01-29 Abhishek Dhar , Keiji Saito

We investigate the thermal responses of a harmonic oscillator chain coupled at its boundaries to heat baths held at different temperatures. This setup sustains a steady energy flux, continuously dissipating heat into both reservoirs. By…

统计力学 · 物理学 2026-04-16 Michiel Gautama , Faezeh Khodabandehlou , Christian Maes , Ion Santra

We study the properties of heat conduction induced by non-Gaussian noises from athermal environments. We find that new terms should be added to the conventional Fourier law and the fluctuation theorem for the heat current, where its average…

统计力学 · 物理学 2013-05-28 Kiyoshi Kanazawa , Takahiro Sagawa , Hisao Hayakawa

In this paper, thermal transport in bond-disordered harmonic chains is revisited in detail using a nonequilibrium Green's function formalism. For strong bond disorder, thermal conductivity is independent of the system size. However, kinetic…

统计力学 · 物理学 2021-10-25 Kiminori Hattori , Shohei Kumatoriya

The harmonic Fibonacci chain, which is one of a quasiperiodic chain constructed with a recursion relation, has a singular continuous frequency-spectrum and critical eigenstates. The validity of the Fourier law is examined for the harmonic…

统计力学 · 物理学 2015-06-24 Masashi Torikai , Takashi Odagaki

The role of quadratic onsite pinning potentials on determining the size (N) dependence of the disorder averaged steady state heat current <J>, in a isotopically disordered harmonic chain connected to stochastic heat baths, is investigated.…

无序系统与神经网络 · 物理学 2009-11-13 Dibyendu Roy , Abhishek Dhar

We study analytically the probability distribution of the heat released by an ensemble of harmonic oscillators to the thermal bath, in the nonequilibrium relaxation process following a temperature quench. We focus on the asymmetry…

统计力学 · 物理学 2017-05-29 A. Crisanti , A. Sarracino , M. Zannetti

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…

统计力学 · 物理学 2007-05-23 Emmanuel Pereira , Ricardo Falcao
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