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The model of thermal rectifier based on the asymmetry of interaction of the molecular chain ends with thermostats is proposed in this work. The rectification mechanism is not related to the chain asymmetry, but to the asymmetry of the…

Mesoscale and Nanoscale Physics · Physics 2019-12-25 Alexander V. Savin

We describe a numerical scheme for exactly simulating the heat current behavior in a quantum harmonic chain with self-consistent reservoirs. Numerically-exact results are compared to classical simulations and to the quantum behavior under…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 Malay Bandyopadhyay , Dvira Segal

Corrected misprints and omissions.

General Relativity and Quantum Cosmology · Physics 2009-11-10 Janusz Karkowski , Edward Malec

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

We show the existence of thermal rectification in the graded mass quantum chain of harmonic oscillators with self-consistent reservoirs. Our analytical study allows us to identify the ingredients leading to the effect. The presence of…

Statistical Mechanics · Physics 2015-05-18 Emmanuel Pereira

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…

Statistical Mechanics · Physics 2020-09-09 G. A. Weiderpass , Gustavo M. Monteiro , A. O. Caldeira

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…

Statistical Mechanics · Physics 2015-12-14 Pedro H. Guimarães , Gabriel T. Landi , Mário J. de Oliveira

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…

Mathematical Physics · Physics 2023-03-01 Tomasz Komorowski , Joel L. Lebowitz , Stefano Olla

Within the emerging field of quantum thermodynamics the issues of heat transfer and heat rectification are basic ingredients for the understanding and design of heat engines or refrigerators at nanoscales. Here, a consistent and versatile…

Statistical Mechanics · Physics 2018-11-21 Thomas Motz , Michael Wiedmann , Jürgen T. Stockburger , Joachim Ankerhold

The exact expression of the free energy of a planar array of a Ginzburg-Landau chains with nn and nnn interaction is obtained. The critical behaviour of the specific heat is not qualitatively modified by taking into account the nnn…

Statistical Mechanics · Physics 2009-11-13 Victor Barsan

We investigate corrector estimates for the solutions of a thermoelasticity problem posed in a highly heterogeneous two-phase medium and its corresponding two-scale thermoelasticity model which was derived in an earlier paper by two-scale…

Analysis of PDEs · Mathematics 2017-02-13 Michael Eden , Adrian Muntean

In order to better understand the minimal ingredients for thermal rectification, we perform a detailed investigation of a simple spin chain, namely, the open XX model with a Lindblad dynamics involving global dissipators. We use a…

Quantum Physics · Physics 2021-01-04 Saulo H. S. Silva , Gabriel T. Landi , Raphael C. Drumond , Emmanuel Pereira

We derive a macroscopic heat equation for the temperature of a pinned harmonic chain subject to a periodic force at its right side and in contact with a heat bath at its left side. The microscopic dynamics in the bulk is given by the…

Mathematical Physics · Physics 2023-05-03 Tomasz Komorowski , Joel L. Lebowitz , Stefano Olla

We construct a solution of a pure conduction problem in ice and bedrock. This solution is suitable for, and is used in this paper for, verifying a numerical scheme for conservation of energy. This exact solution forms one of a suite of…

Geophysics · Physics 2007-10-09 Ed Bueler

A certain class of one-dimensional classical lattice models is considered. Using the method of abstract harmonic analysis explicit thermostatic properties of such models are derived. In particular, we discuss the low-temperature behavior of…

High Energy Physics - Theory · Physics 2007-05-23 Georg Junker

The thermodynamics of a quantum system of layers containing perpendicularly oriented dipolar molecules is studied within an oscillator approximation for both bosonic and fermionic species. The system is assumed to be built from chains with…

Quantum Gases · Physics 2013-04-19 J. R. Armstrong , N. T. Zinner , D. V. Fedorov , A. S. Jensen

We provide an explicit method for solving general markovian master equations for quadratic bosonic Hamiltonians with linear bath operators. As an example we consider a one-dimensional quantum harmonic oscillator chain coupled to thermal…

Statistical Mechanics · Physics 2015-06-04 Bojan Žunkovič , Tomaž Prosen

In the revised version of the paper, we correct misprints and add some new statements.

alg-geom · Mathematics 2008-02-03 Victor V. Batyrev , Dimitrios I. Dais

The new version of the article will be released after correcting the manuscript due to the missing sign.

Strongly Correlated Electrons · Physics 2018-05-24 M. Rojas , S. M. de Souza , Onofre Rojas

Correction to Annals of Applied Probability 17 (2007) 781--808 [doi:10.1214/105051607000000032].

Probability · Mathematics 2007-11-07 Stephen B. Connor , Wilfrid S. Kendall
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