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We study the heat current J in a classical one-dimensional disordered chain with on-site pinning and with ends connected to stochastic thermal reservoirs at different temperatures. In the absence of anharmonicity all modes are localized and…

Disordered Systems and Neural Networks · Physics 2009-11-13 Abhishek Dhar , J. L. Lebowitz

A general formulation is developed to study heat conduction in disordered harmonic chains with arbitrary heat baths that satisfy the fluctuation-dissipation theorem. A simple formal expression for the heat current J is obtained, from which…

Statistical Mechanics · Physics 2009-11-07 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…

Disordered Systems and Neural Networks · Physics 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…

Disordered Systems and Neural Networks · Physics 2015-05-13 Abhishek Chaudhuri , Anupam Kundu , Dibyendu Roy , Abhishek Dhar , Joel L. Lebowitz , Herbert Spohn

We study the transport of energy in a finite linear harmonic chain by solving the Heisenberg equation of motion, as well as by using nonequilibrium Green's functions to verify our results. The initial state of the system consists of two…

Statistical Mechanics · Physics 2012-10-02 Eduardo C. Cuansing , Huanan Li , Jian-Sheng Wang

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…

Disordered Systems and Neural Networks · Physics 2020-03-11 Biswarup Ash , Ariel Amir , Yohai Bar-Sinai , Yuval Oreg , Yoseph Imry

We consider wetting of a one-dimensional random walk on a half-line $x\ge 0$ in a short-ranged potential located at the origin $x=0$. We demonstrate explicitly how the presence of a quenched chemical disorder affects the pinning-depinning…

Statistical Mechanics · Physics 2009-11-13 D. M. Gangardt , S. K. Nechaev

We compute the first-order correction to the correlation functions of the stationary state of a stochastically forced harmonic chain out of equilibrium when a small on-site anharmonic potential is added. This is achieved by deriving a…

Mathematical Physics · Physics 2009-11-10 R. Lefevere , A. Schenkel

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…

Statistical Mechanics · Physics 2009-11-07 Abhishek Dhar

We consider two types of strongly disordered one-dimensional Hamiltonian systems coupled to baths (energy or particle reservoirs) at the boundaries: strongly disordered quantum spin chains and disordered classical harmonic oscillators.…

Statistical Mechanics · Physics 2017-04-26 Wojciech De Roeck , Abhishek Dhar , Francois Huveneers , Marius Schuetz

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…

Statistical Mechanics · Physics 2015-05-30 Cedric Bernardin , Venkateshan Kannan , Joel L. Lebowitz , Jani Lukkarinen

We summarize and extend some of the results obtained recently for the microscopic and macroscopic behavior of a pinned harmonic chain, with random velocity flips at Poissonian times, acted on by a periodic force {at one end} and in contact…

Statistical Mechanics · Physics 2023-05-17 Tomasz Komorowski , Joel Lebowitz , Stefano Olla , Marielle Simon

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 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,…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Abhishek Dhar

We investigate the steady state heat current in two and three dimensional isotopically disordered harmonic lattices. Using localization theory as well as kinetic theory we estimate the system size dependence of the current. These estimates…

Disordered Systems and Neural Networks · Physics 2010-07-13 Anupam Kundu , Abhishek Chaudhuri , Dibyendu Roy , Abhishek Dhar , Joel L. Lebowitz , Herbert Spohn

We consider energy transport in the classical Toda chain in the presence of an additional pinning potential. The pinning potential is expected to destroy the integrability of the system and an interesting question is to see the signatures…

Statistical Mechanics · Physics 2019-05-01 Abhishek Dhar , Aritra Kundu , Joel L. Lebowitz , Jasen A. Scaramazza

We address the general problem of heat conduction in one dimensional harmonic chain, with correlated isotopic disorder, attached at its ends to white noise or oscillator heat baths. When the low wavelength $\mu$ behavior of the power…

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

We investigate heat transport in one-dimensional harmonic chains with mass disorder and weak bond disorder, coupled at both ends to oscillator heat baths through weak impedance mismatches. The model incorporates correlations in mass…

Statistical Mechanics · Physics 2026-01-15 I. F. Herrera-González

We numerically study the effect of adding quenched disorder in the form of randomly placed pinning sites on jamming transitions in systems that jam at a well defined point J in the clean limit. Quenched disorder decreases the jamming…

Soft Condensed Matter · Physics 2015-06-04 C. J. Olson Reichhardt , E. Groopman , Z. Nussinov , C. Reichhardt

We investigate the effect of correlated disorder on the localization transition undergone by a renewal sequence with loop exponent $\alpha$ > 0, when the correlated sequence is given by another independent renewal set with loop exponent…

Probability · Mathematics 2019-07-26 Dimitris Cheliotis , Yuki Chino , Julien Poisat
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