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Heat conduction in three-dimenisional nonlinear lattice models is studied using nonequilibrium molecular dynamics simulations. We employ the FPU model, in which there exists a nonlinearity in the interaction of biquadratic form. It is…

统计力学 · 物理学 2010-04-07 Hayato Shiba , Nobuyasu Ito

We investigate the nonequilibrium thermodynamics of pure decoherence. In a pure decoherence process, the system Hamiltonian is a constant of motion and there is no direct energy exchange between the system and its surroundings.…

量子物理 · 物理学 2023-04-20 Maria Popovic , Mark T. Mitchison , John Goold

An analytical model of high frequency oscillations of the kinetic and potential energies in a one-dimensional harmonic crystal with a substrate potential is obtained by introducing the nonlocal energies [1]. A generalization of the kinetic…

统计力学 · 物理学 2018-02-07 Mikhail B. Babenkov , Anton M. Krivtsov , Denis V. Tsvetkov

In classical thermodynamics, heat must spontaneously flow from hot to cold systems. In quantum thermodynamics, the same law applies when considering multipartite product thermal states evolving unitarily. If initial correlations are…

量子物理 · 物理学 2026-04-22 Naim Elias Comar , Danilo Cius , Luis Felipe Santos , Rafael Wagner , Bárbara Amaral

We consider a situation where an $N$-level system (NLS) is coupled to a heat bath without being necessarily thermalized. For this situation we derive general Jarzinski-type equations and conclude that heat and entropy is flowing from the…

量子物理 · 物理学 2021-08-25 Heinz-Jürgen Schmidt , Jürgen Schnack , Jochen Gemmer

We present a chain-of-atoms model where heat is rectified, with different fluxes from the hot to the cold baths located at the chain boundaries when the temperature bias is reversed. The chain is homogeneous except for boundary effects and…

统计力学 · 物理学 2018-01-17 M. Pons , Y. Y. Cui , A. Ruschhaupt , M. A. Simon , J. G. Muga

An analytical model of unsteady heat transfer in a one-dimensional harmonic crystal is presented. A nonlocal temperature is introduced as a generalization of the kinetic temperature. A closed equation determining unsteady thermal processes…

统计力学 · 物理学 2015-11-25 Anton M. Krivtsov

Anomalous heat transfer (AHT), a process by which heat spontaneously flows from a cold system into a hot one, superficially contradicts the Clausius statement of the second law of thermodynamics. Here we provide a full classification of…

量子物理 · 物理学 2024-12-31 Teng Ma , Jing-Ning Zhang , Yuan-Sheng Wang , Hong-Yi Xie , Man-Hong Yung

Compared to other formulations of the second law of thermodynamics, the Clausius statement that heat does not spontaneously flow from cold to hot concerns a system in non-equilibrium states, and in that respect is more ambitious but also…

统计力学 · 物理学 2020-12-18 Alex V. Plyukhin

It has long been known that, fundamentally different from a large body of rarefied gas, when a Knudsen gas is immersed in a thermal bath, it may never reach thermal equilibrium. The root cause is nonchaoticity: as the particle-particle…

统计力学 · 物理学 2024-11-15 Yu Qiao , Zhaoru Shang

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

We study vibrational energy transport in a quasi 1-D harmonic chain with both longitudinal and transverse vibrations. We demonstrate via both numerical simulation and theoretic analysis that for 1-D atomic chain connected by 3D harmonic…

统计力学 · 物理学 2008-06-27 Zonghua Liu , Baowen Li

We investigate directed thermal heat flux across 1D homogenous nonlinear lattices when no net thermal bias is present on average. A nonlinear lattice of Fermi-Pasta-Ulam-type or Lennard-Jones-type system is connected at both ends to thermal…

统计力学 · 物理学 2009-12-18 Nianbei Li , Fei Zhan , Peter Hanggi , Baowen Li

We consider unsteady heat transfer in a one-dimensional harmonic crystal surrounded by a viscous environment and subjected to an external heat supply. The basic equations for the crystal particles are stated in the form of a system of…

统计力学 · 物理学 2022-10-31 Serge N. Gavrilov , Anton M. Krivtsov , Denis V. Tsvetkov

We consider a situation where an $N$-level system (NLS) is coupled successively to two heat baths with different temperatures without being necessarily thermalized and approaches a steady state. For this situation we apply a general…

统计力学 · 物理学 2021-08-09 Heinz-Jürgen Schmidt , Jochen Gemmer

In the present chapter, we discuss an approach for transition from discrete to continuum description of thermomechanical behavior of solids. The transition is carried out for several anharmonic systems: one-dimensional crystal,…

统计力学 · 物理学 2017-08-01 Anton M. Krivtsov , Vitaly A. Kuzkin

We study transient thermal processes in infinite harmonic crystals with complex (polyatomic) lattice. Initially particles have zero displacements and random velocities such that distribution of temperature is spatially uniform. Initial…

统计力学 · 物理学 2019-06-24 Vitaly A. Kuzkin

The principle that heat spontaneously flows from higher temperature to lower temperature is a cornerstone of classical thermodynamics, often assumed to be independent of the sequence of interactions. While this holds true for macroscopic…

Chaotic lattice models at high temperature are generically expected to exhibit diffusive transport of all local conserved charges. Such diffusive transport is usually associated with overdamped relaxation of the associated currents. Here we…

统计力学 · 物理学 2026-05-18 Vir B. Bulchandani , David A. Huse

We show how to use a central limit approximation for additive co-cycles to describe non-equilibrium and far from equilibrium thermodynamic behavior. We consider first two weakly coupled Hamiltonian dynamical systems initially at different…

统计力学 · 物理学 2012-04-11 Hans Henrik Rugh
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