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We present a numerical study of the diffusion of energy at high temperature in strongly disordered chains of interacting classical spins evolving deterministically. We find that quenched randomness strongly suppresses transport, with the…

Strongly Correlated Electrons · Physics 2013-05-29 Vadim Oganesyan , Arijeet Pal , David A. Huse

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…

Mathematical Physics · Physics 2007-05-23 Federico Bonetto , Joel L. Lebowitz , Jani Lukkarinen

The paper revisits recent counterintuitive results on divergence of heat conduction coefficient in two-dimensional lattices. It was reported that in certain lattices with on-site potential, for which one-dimensional chain has convergent…

Statistical Mechanics · Physics 2016-03-23 A. V. Savin , V. Zolotarevskiy , O. V. Gendelman

We propose a model with a quantized degree of freedom to study the heat transport in quasi-one dimensional system. Our simulations reveal three distinct temperature regimes. In particular, the intermediate regime is characterized by heat…

Disordered Systems and Neural Networks · Physics 2009-11-11 Jun-Wen Mao , You-Quan Li

Periodically driven coherent conductors provide a universal platform for the development of quantum transport devices. Here, we lay down a comprehensive theory to describe the thermodynamics of these systems. We first focus on moderate…

Mesoscale and Nanoscale Physics · Physics 2021-04-15 Elina Potanina , Christian Flindt , Michael Moskalets , Kay Brandner

We consider a chain of coupled and strongly pinned anharmonic oscillators subject to a non-equilibrium random forcing. Assuming that the stationary state is approximately Gaussian, we first derive a stationary Boltzmann equation. By…

Statistical Mechanics · Physics 2009-11-11 R. Lefevere , A. Schenkel

Heat conduction in three types of 1D channels are studied. The channels consist of two parallel walls, right triangles as scattering obstacles, and noninteracting particles. The triangles are placed along the walls in three different ways:…

Statistical Mechanics · Physics 2009-11-07 Baowen Li , Lei Wang , Bambi Hu

We investigate the dynamics of a strongly correlated quantum dot system in the mixed valence regime based on the hierarchical equations of motion (HEOM) approach. The transient and steady state transport properties after a quantum quench…

Strongly Correlated Electrons · Physics 2017-09-11 YongXi Cheng , ZhenHua Li , JianHua Wei , YiJing Yan

The principle that heat spontaneously flows from higher temperature to lower temperature is a cornerstone of classical thermodynamics, often assumed to be independent of the sequence of interactions. While this holds true for macroscopic…

We provide molecular dynamics simulation of heat transport in one-dimensional molecular chains with different interparticle pair potentials. We show that the thermal conductivity is finite in the thermodynamic limit in the chains with the…

Statistical Mechanics · Physics 2013-07-18 A. V. Savin , Yuriy A. Kosevich

A perfect quantum state transfer(QST) has been shown in an engineered spin chain with "always-on interaction". Here, we consider a more realistic problem for such a protocol, the quantum decoherence induced by a spatially distributed…

Quantum Physics · Physics 2007-05-23 Lan Zhou , Jing Lu , Tao Shi , C. P. Sun

We study thermal transport in a classical one-dimensional Heisenberg model employing a discrete time odd even precessional update scheme. This dynamics equilibrates a spin chain for any arbitrary temperature and finite value of the…

Statistical Mechanics · Physics 2015-03-20 Debarshee Bagchi , P. K. Mohanty

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

In this paper, we present first-order accurate numerical methods for solution of the heat equation with uncertain temperature-dependent thermal conductivity. Each algorithm yields a shared coefficient matrix for the ensemble set improving…

Numerical Analysis · Mathematics 2021-06-08 J. A. Fiordilino , M. Winger

The theory of quantum thermodynamics investigates how the concepts of heat, work, and temperature can be carried over to the quantum realm, where fluctuations and randomness are fundamentally unavoidable. Of particular practical relevance…

Quantum Physics · Physics 2019-09-23 Patrick P. Potts

Quantum chaos is a major subject of interest in condensed matter theory, and has recently motivated new questions in the study of classical chaos. In particular, recent studies have uncovered interesting physics in the relationship between…

Statistical Mechanics · Physics 2023-07-24 Henry Ando , David A. Huse

We study the non-equilibrium dynamics of a one-dimensional complex Sachdev-Ye-Kitaev chain by directly solving for the steady state Green's functions in terms of small perturbations around their equilibrium values. The model exhibits…

Strongly Correlated Electrons · Physics 2022-07-13 Cristian Zanoci , Brian Swingle

Nonequilibrium statistical mechanics close to equilibrium is a physically satisfactory theory centered on the linear response formula of Green-Kubo. This formula results from a formal first order perturbation calculation without rigorous…

Chaotic Dynamics · Physics 2015-05-27 David Ruelle

An analytical model of high frequency oscillations of the kinetic and potential energies in a one-dimensional harmonic crystal with a substrate potential is obtained by introducing the nonlocal energies [1]. A generalization of the kinetic…

Statistical Mechanics · Physics 2018-02-07 Mikhail B. Babenkov , Anton M. Krivtsov , Denis V. Tsvetkov

Excitonic transport in static disordered one dimensional systems is studied in the presence of thermal fluctuations that are described by the Haken-Strobl-Reineker model. For short times, non-diffusive behavior is observed that can be…

Mesoscale and Nanoscale Physics · Physics 2015-05-05 Jeremy M. Moix , Michael Khasin , Jianshu Cao
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