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The understanding of the underlying dynamical mechanisms which determine the macroscopic laws of heat conduction is a long standing task of non-equilibrium statistical mechanics. A better understanding of the mechanism of heat conduction…

统计力学 · 物理学 2011-09-08 Giulio Casati , Carlos Mejia-Monasterio

In this paper we give a brief review of the relation between microscopic dynamical properties and the Fourier law of heat conduction as well as the connection between anomalous conduction and anomalous diffusion. We then discuss the…

材料科学 · 物理学 2015-06-25 Giulio Casati , Baowen LI

We study heat transport in a nonequilibrium steady state of a quantum interacting spin chain. We provide clear numerical evidence of the validity of Fourier law. The regime of normal conductivity is shown to set in at the transition to…

统计力学 · 物理学 2007-05-23 Carlos Mejia-Monasterio , Tomaz Prosen , Giulio Casati

We derive Fourier's law for a completely coherent quasi one--dimensional chaotic quantum system coupled locally to two heat baths at different temperatures. We solve the master equation to first order in the temperature difference. We show…

量子物理 · 物理学 2015-05-20 Thomas H. Seligman , Hans A. Weidenmueller

The second law of thermodynamics dictates that heat flows spontaneously from a high-temperature entity to a lower-temperature one. Yet, recent advances have demonstrated that quantum correlations between a system and its thermal environment…

The Fourier law of heat conduction describes heat diffusion in macroscopic systems. This physical law has been experimentally tested for a large class of physical systems. A natural question is to know whether it can be derived from the…

偏微分方程分析 · 数学 2019-12-10 Thierry Bodineau , Isabelle Gallagher , Laure Saint-Raymond

We analyze the steady-state energy transfer in a chain of coupled two-level systems connecting two thermal reservoirs. Through an analytic treatment we find that the energy current is independent of the system size, hence violating…

量子物理 · 物理学 2012-12-20 Daniel Manzano , Markus Tiersch , Ali Asadian , Hans J. Briegel

We discuss thermal rectification and thermoelectric energy conversion from the perspective of nonequilibrium statistical mechanics and dynamical systems theory. After preliminary considerations on the dynamical foundations of the…

统计力学 · 物理学 2016-05-11 Giuliano Benenti , Giulio Casati , Carlos Mejia-Monasterio , Michel Peyrard

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…

介观与纳米尺度物理 · 物理学 2015-05-28 Malay Bandyopadhyay , Dvira Segal

We present analytical and numerical results on the heat conduction in a linear mixing system. In particular we consider a quasi one dimensional channel with triangular scatterers with internal angles irrational multiples of pi and we show…

统计力学 · 物理学 2009-11-07 Baowen Li , Giulio Casati , Jiao Wang

Fluctuation theorems are fundamental extensions of the second law of thermodynamics for small nonequilibrium systems. While work and heat are equally important forms of energy exchange, fluctuation relations have not been experimentally…

The onset of Fourier's law in a one-dimensional quantum system is addressed via a simple model of weakly coupled quantum systems in contact with thermal baths at their edges. Using analytical arguments we show that the crossover from the…

统计力学 · 物理学 2015-05-13 Y. Dubi , M. Di Ventra

We have numerically studied heat conduction in a few one-dimensional momentum-conserving lattices with asymmetric interparticle interactions by the nonequilibrium heat bath method, the equilibrium Green-Kubo method, and the heat current…

统计力学 · 物理学 2013-11-13 Lei Wang , Bambi Hu , Baowen Li

In this work, we investigate the heat flow of two interacting quantum systems on the perspective of noncommutativity phase-space effects and show that by controlling the new constants introduced in the quantum theory, due to a deformed…

量子物理 · 物理学 2020-12-25 Jonas F. G. Santos

Within the Lindblad formalism we consider an interacting spin chain coupled locally to heat baths. We investigate the dependence of the energy transport on the type of interaction in the system as well as on the overall interaction…

统计力学 · 物理学 2007-05-23 Mathias Michel , Michael Hartmann , Jochen Gemmer , Guenter Mahler

The standard approach to non-equilibrium thermodynamics describes transport in terms of generalised forces and coupled currents, a typical example being the Fourier law that relates temperature gradient to the heat flux. Here we demonstrate…

统计力学 · 物理学 2015-05-20 Simone Borlenghi , Stefano Iubini , Stefano Lepri , Lars Bergqvist , Anna Delin , Jonas Frannson

Recent research on the thermodynamic arrow of time, at the microscopic scale, has questioned the universality of its direction. Theoretical studies showed that quantum correlations can be used to revert the natural heat flow (from the hot…

量子物理 · 物理学 2018-06-13 Ivan Henao , Roberto M. Serra

Besides the growing interest in old concepts like temperature and entropy at the nanoscale, theories of relaxation and transport have recently regained a lot of attention. With the electronic circuits and computer chips getting smaller and…

统计力学 · 物理学 2007-05-23 Mathias Michel , Jochen Gemmer , Günter Mahler

Thermal conduction is an important energy transfer and damping mechanism in astrophysical flows. Fourier's law - the heat flux is proportional to the negative temperature gradient, leading to temperature diffusion - is a well-known…

太阳与恒星天体物理 · 物理学 2015-06-23 Daniel Lecoanet , Benjamin P. Brown , Ellen G. Zweibel , Keaton J. Burns , Jeffrey S. Oishi , Geoffrey M. Vasil

The microscopic origins of Fourier's venerable law of thermal transport in quantum electron systems has remained somewhat of a mystery, given that previous derivations were forced to invoke intrinsic scattering rates far exceeding those…

介观与纳米尺度物理 · 物理学 2025-10-09 Sosuke Inui , Charles A. Stafford , Justin P. Bergfield
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