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We introduce a family of Hamiltonian models for heat conduction with and without momentum conservation. They are analytically solvable in the high temperature limit and can also be efficiently simulated. In all cases Fourier law is verified…

统计力学 · 物理学 2009-11-11 C. Giardina' , J. Kurchan

We present the computer simulation results of a chain of hard point particles with alternating masses interacting on its extremes with two thermal baths at different temperatures. We found that the system obeys Fourier's law at the…

统计力学 · 物理学 2009-11-07 Pedro L. Garrido , Pablo I. Hurtado , Bjoern Nadrowski

We analyze the transport of heat along a chain of particles interacting through anharmonic po- tentials consisting of quartic terms in addition to harmonic quadratic terms and subject to heat reservoirs at its ends. Each particle is also…

统计力学 · 物理学 2015-06-15 Gabriel T. Landi , Mario J. de Oliveira

We provide firm convincing evidence that the energy transport in a one-dimensional gas of elastically colliding free particles of unequal masses is anomalous, i.e. the Fourier Law does not hold. Our conclusions are based on the analysis of…

统计力学 · 物理学 2009-11-07 Giulio Casati , Tomaz Prosen

Energy transport can be influenced by the presence of other conserved quantities. We consider here diffusive systems where energy and the other conserved quantities evolve macroscopically on the same diffusive space-time scale. In these…

统计力学 · 物理学 2020-01-08 Stefano Olla

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

We study the transport of heat along a chain of particles interacting through a harmonic potential and subject to heat reservoirs at its ends. Each particle has two degrees of freedom and is subject to a stochastic noise that produces…

统计力学 · 物理学 2015-06-17 Gabriel T. Landi , Mario J. de Oliveira

We investigate the stationary nonequilibrium states of a quasi one-dimensional system of heavy particles whose interaction is mediated by purely elastic collisions with light particles, in contact at the boundary with two heat baths with…

统计力学 · 物理学 2009-11-10 Christian Gruber , Annick Lesne

We study in momentum-conserving systems, how nonintegrable dynamics may affect thermal transport properties. As illustrating examples, two one-dimensional (1D) diatomic chains, representing 1D fluids and lattices, respectively, are…

统计力学 · 物理学 2014-09-26 Shunda Chen , Jiao Wang , Giulio Casati , Giuliano Benenti

The heat conduction behavior of one dimensional momentum conserving lattice systems with asymmetric interparticle interactions is numerically investigated. It is found that with certain degree of interaction asymmetry, the heat conductivity…

统计力学 · 物理学 2015-05-28 Yi Zhong , Yong Zhang , Jiao Wang , Hong Zhao

Momentum-conserving one-dimensional models are known to exhibit anomalous Fourier's law, with a thermal conductivity varying as a power law of the system size. Here we measure, by numerical simulations, several cumulants of the heat flux of…

统计力学 · 物理学 2015-05-18 E. Brunet , B. Derrida , A. Gerschenfeld

As a paradigm for heat conduction in 1 dimension, we propose a class of models represented by chains of identical cells, each one of which containing an energy storage device called a "tank". Energy exchange among tanks is mediated by…

混沌动力学 · 物理学 2009-11-11 Jean-Pierre Eckmann , Lai-Sang Young

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 study heat transport in a class of stochastic energy exchange systems that characterize the interactions of networks of locally trapped hard spheres under the assumption that neighbouring particles undergo rare binary collisions. Our…

统计力学 · 物理学 2009-08-28 Pierre Gaspard , Thomas Gilbert

Size-dependence of energy transport and the effects of reduced dimensionality on transport coefficients are of key importance for understanding nonequilibrium properties of matter on the nanoscale. Here, we perform nonequilibrium and…

统计力学 · 物理学 2021-05-26 Rongxiang Luo , Lisheng Huang , Stefano Lepri

It has been observed in many numerical simulations, experiments and from various theoretical treatments that heat transport in one-dimensional systems of interacting particles cannot be described by the phenomenological Fourier's law. The…

统计力学 · 物理学 2019-11-12 Abhishek Dhar , Anupam Kundu , Aritra Kundu

We present a detailed derivation of Fourier's law in a class of stochastic energy exchange systems that naturally characterize two-dimensional mechanical systems of locally confined particles in interaction. The stochastic systems consist…

统计力学 · 物理学 2009-08-29 Pierre Gaspard , Thomas Gilbert

We analyze a category of problems that is of interest in many physical situations, including those encountered in introductory physics classes: systems with two well-delineated parts that exchange energy, eventually reaching a shared…

经典物理 · 物理学 2019-10-31 Jonathan Bougie , Asim Gangopadhyaya

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…

综合物理 · 物理学 2016-08-08 Christopher Gunaseelan Jesudason

We study the lowest order conservation laws in one-dimensional (1D) integrable quantum many-body models (IQM) as the Heisenberg spin 1/2 chain, the Hubbard and t-J model. We show that the energy current is closely related to the first…

强关联电子 · 物理学 2016-08-31 X. Zotos , F. Naef , P. Prelovsek
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