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Hamiltonian mechanics can be used to constrain temperature simultaneously with energy. We illustrate the interesting situations that develop when two different temperatures are imposed within a composite Hamiltonian system. The model…

统计力学 · 物理学 2015-06-15 Wm. G. Hoover , Carol G. Hoover

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

Transport and diffusion of heat in one dimensional (1D) nonlinear systems which {\it conserve momentum} is typically thought to proceed anomalously. Notable exceptions, however, exist of which the rotator model is a prominent case.…

统计力学 · 物理学 2015-05-05 Yunyun Li , Sha Liu , Nianbei Li , Peter Hanggi , Baowen Li

Numerical studies of some unidimensional systems suggest that Fourier law is satisfied, where theory predicts a divergence of heat conductivity with the system size. Here, I revisit some such models, finding that in all cases a divergence…

统计力学 · 物理学 2026-01-29 Antonio Politi

We apply the hierarchical equations of motion technique to analyzing nonequilibrium heat transport in a spin-boson type model, whereby heat transfer through a central spin is mediated by an intermediate pair of coupled harmonic oscillators.…

介观与纳米尺度物理 · 物理学 2024-07-29 Graeme Pleasance , Francesco Petruccione

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

We study anomalous transport in a one-dimensional system with two conserved quantities in presence of thermal baths. In this system we derive exact expressions of the temperature profile and the two point correlations in steady state as…

统计力学 · 物理学 2018-10-10 Priyanka , Aritra Kundu , Abhishek Dhar , Anupam Kundu

We define a deterministic ``scattering'' model for heat conduction which is continuous in space, and which has a Boltzmann type flavor, obtained by a closure based on memory loss between collisions. We prove that this model has, for…

数学物理 · 物理学 2009-11-13 Pierre Collet , Jean-Pierre Eckmann

A normal-diffusion theory for heat transfer in many-body systems via carriers of thermal photons is developed. The thermal conductivity tensor is rigorously derived from fluctuational electrodynamics as a coefficient of diffusion term for…

应用物理 · 物理学 2022-11-04 Minggang Luo , Junming Zhao , Linhua Liu

We discuss the thermal conductivity of a chain of coupled rotators, showing that it is the first example of a 1d nonlinear lattice exhibiting normal transport properties in the absence of an on-site potential. Numerical estimates obtained…

chao-dyn · 物理学 2009-10-31 C. Giardina' , R. Livi , A. Politi , M. Vassalli

The heat equation, based on Fourier's law, is commonly used for description of heat conduction. However, Fourier's law is valid under the assumption of local thermodynamic equilibrium, which is violated in very small dimensions and short…

统计力学 · 物理学 2024-08-05 S. A. Rukolaine

The fundamental dynamic stability of heat conduction theories beyond Fourier is analyzed in the framework of nonequilibrium thermodynamics. It is shown, that the thermodynamic framework, concave entropy and nonnegative entropy production,…

统计力学 · 物理学 2026-01-06 R. Somogyfoki , A. Famà , L. Restuccia , P. Ván

We address the problem of heat conduction in 1-D nonlinear chains; we show that, acting on the parameter which controls the strength of the on site potential inside a segment of the chain, we induce a transition from conducting to…

统计力学 · 物理学 2009-11-07 M. Terraneo , M. Peyrard , G. Casati

We study the thermal conduction behaviors of one-dimensional lattice models with asymmetry harmonic interparticle interactions in this paper. Normal thermal conductivity independent of the system size is observed when the lattice chains are…

统计力学 · 物理学 2015-11-03 Yi Zhong , Yong Zhang , Jiao Wang , Hong Zhao

Using stochastic thermodynamics, the properties of interacting linear chains subject to periodic drivings are investigated. The systems are described by Fokker-Planck-Kramers equation and exact (explicit) solutions are obtained for periodic…

统计力学 · 物理学 2020-02-05 Bruno A. N. Akasaki , M. J. de Oliveira , Carlos E. Fiore

We present an extension of the work of D'Amato and Pastawski on electron transport in a one-dimensional conductor modeled by the tight binding lattice Hamiltonian and in which inelastic scattering is incorporated by connecting each site of…

介观与纳米尺度物理 · 物理学 2009-11-11 Dibyendu Roy , Abhishek Dhar

Temperature gradients represent energy sources that can be harvested to generate steady reaction or transport fluxes. Technological developments could lead to the transfer of free energy from heat sources and sinks to chemical systems for…

化学物理 · 物理学 2025-03-13 Mohammed Loukili , Ludovic Jullien , Guillaume Baffou , Raphaël Plasson

Steady non-equilibrium states are investigated in a one-dimensional setup in the presence of two thermodynamic currents. Two paradigmatic nonlinear oscillators models are investigated: an XY chain and the discrete nonlinear Schr\"odinger…

统计力学 · 物理学 2016-08-24 S. Iubini , S. Lepri , R. Livi , A. Politi

Using nonequilibrium and equilibrium molecular dynamics simulations, we investigate heat conduction in a momentum-conserving mesoscopic fluid modeled by multiparticle collision dynamics. Across quasi-two-dimensional (q-2D) to…

统计力学 · 物理学 2026-04-16 Rongxiang Luo , Jiaqi Wen , Juncheng Guo

We address the problem of heat transport in a chain of coupled quantum harmonic oscillators, exposed to the influences of local environments of various nature, stressing the effects that the specific nature of the environment has on the…

量子物理 · 物理学 2015-04-16 F. Nicacio , A. Ferraro , A. Imparato , M. Paternostro , F. L. Semião