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We consider one-dimensional systems of all-to-all harmonically coupled particles with arbitrary masses, subject to two Langevin thermal baths. The couplings correspond to the mean-field limit of long-range interactions. Additionally, the…

Statistical Mechanics · Physics 2022-06-08 L. Defaveri , C. Olivares , C. Anteneodo

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…

Statistical Mechanics · Physics 2017-06-07 Thomas Motz , Joachim Ankerhold , Jürgen T. Stockburger

Heat flow and thermal profile in a 1D harmonic lattice with coordinate-dependent masses has been calculated in the thermodynamic limit. It is shown in the particular example of a 1D harmonic lattice with linearly increasing masses that in…

Statistical Mechanics · Physics 2013-05-09 K. V. Reich

Unsteady heat transfer in a harmonic chain is analyzed. Two types of thermal perturbations are considered: 1) initial instant temperature perturbation, 2) external heat supply. Closed equations describing the heat propagation are obtained…

Statistical Mechanics · Physics 2017-09-26 Anton M. Krivtsov

Ultracold atoms offer a unique opportunity to study many-body physics in a clean and well-controlled environment. However, the isolated nature of quantum gases makes it difficult to study transport properties of the system, which are among…

Quantum Gases · Physics 2022-12-28 Ling-Na Wu , André Eckardt

There is a well-known mapping between energy normal (super-) diffusion and normal (anomalous) heat conduction in one-dimensional (1D) nonlinear lattices. The momentum conserving nonlinear lattices exhibit energy super-diffusion behavior…

Statistical Mechanics · Physics 2019-05-27 Hengzhe Yan , Jie Ren , Nianbei Li

An approach for analytical description of thermal processes in harmonic lattices is presented. We cover longitudinal and transverse vibrations of chains and out-of-plane vibrations of two-dimensional lattices with interactions of an…

Statistical Mechanics · Physics 2017-11-29 Vitaly A. Kuzkin , Anton M. Krivtsov

We study the stochastic thermodynamics of an overdamped harmonic chain, which can be viewed equivalently as a 1D Rouse chain or as an approximate model of single file diffusion. We discuss mainly two levels of description of this system:…

Statistical Mechanics · Physics 2015-06-23 David Lacoste , Michael A. Lomholt

We investigate the behavior of heat conduction in two-dimensional (2D) electron gases without and with a magnetic field. We perform simulations with the Multi-Particle-Collision approach, suitably adapted to account for the Lorenz force…

Mesoscale and Nanoscale Physics · Physics 2024-06-25 Rongxiang Luo , Qiyuan Zhang , Guanming Lin , Stefano Lepri

I review here some recent result on the thermal conductivity of chains of oscillators whose hamiltonian dynamics is perturbed by a noise conserving energy and momentum.

Mathematical Physics · Physics 2008-09-10 Stefano Olla

In a one dimensional lattice thermal fluctuations destroy the long-range order making particles of the lattice move on a scale much larger than the lattice spacing. We discuss the assumption that this motion may be responsible for the…

Soft Condensed Matter · Physics 2015-05-13 A. V. Plyukhin

Quantum correlation and hot-carrier transport represent two fundamentally distinct regimes of electronic conduction, rarely accessible within the same device. Here, we report a state-of-the-art monolayer transition metal dichalcogenides…

Mesoscale and Nanoscale Physics · Physics 2025-11-11 Debottam Daw , Houcine Bouzid , Sung-Gyu Lee , Wujoon Cha , Ki Kang Kim , Min-kyu Joo , Yan Wang , Manish Chhowalla , Young Hee Lee

In the paper we apply asymptotic technique based on the method of stationary phase and obtain the approximate analytical description of thermal motions caused by a source on an isotopic defect of an arbitrary mass in a 1D harmonic crystal.…

Statistical Mechanics · Physics 2025-12-17 Ekaterina V. Shishkina , Serge N. Gavrilov

Understanding heat transport in semiconductors and insulators is of fundamental importance because of its technological impact in electronics and renewable energy harvesting and conversion. Anharmonic Lattice Dynamics provides a powerful…

Materials Science · Physics 2020-10-13 Giuseppe Barbalinardo , Zekun Chen , Nicholas W. Lundgren , Davide Donadio

Deriving macroscopic phenomenological laws of irreversible thermodynamics from simple microscopic models is one of the tasks of non-equilibrium statistical mechanics. We consider stationary energy transport in crystals with reference to…

Statistical Mechanics · Physics 2015-06-24 Stefano Lepri , Roberto Livi , Antonio Politi

Two aspects of conductive heat are focused here (i) the nature of conductive heat, defined as that form of energy that is transferred as a result of a temperature difference and (ii) the nature of the intermolecular potentials that induces…

General Physics · Physics 2016-08-08 Christopher Gunaseelan Jesudason

We study the effect of non-Markovian reservoirs on the heat conduction properties of short to intermediate size molecular chains. Using classical molecular dynamics simulations, we show that the distance dependence of the heat current is…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Dvira Segal

In this work exact solutions for the equation that describes anomalous heat propagation in 1D harmonic lattices are obtained. Rectangular, triangular, and sawtooth initial perturbations of the temperature field are considered. The solution…

Statistical Mechanics · Physics 2017-02-28 Aleksei A. Sokolov , Anton M. Krivtsov , Wolfgang H. Müller

We investigate the heat conduction in a quasi 1-D gas model with various degree of chaos. Our calculations indicate that the heat conductivity $\kappa$ is independent of system size when the chaos of the channel is strong enough. The…

Disordered Systems and Neural Networks · Physics 2009-11-10 Jun-Wen Mao , You-Quan Li , Yong-Yun Ji

We here numerically investigate the heat transport behavior in a one-dimensional lattice with a soft-type (ST) anharmonic interparticle interaction. It is found that with the increase of system's temperature, while the introduction of ST…

Statistical Mechanics · Physics 2017-04-26 Daxing Xiong
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