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We present a detailed study of the first simple mechanical system that shows fully realistic transport behavior while still being exactly solvable at the level of equilibrium statistical mechanics. The system under consideration is a…

统计力学 · 物理学 2009-09-29 H. Larralde , F. Leyvraz , C. Mejia-Monasterio

We prove approach to thermal equilibrium for the fully Hamiltonian dynamics of a dynamical Lorentz gas, by which we mean an ensemble of particles moving through a $d$-dimensional array of fixed soft scatterers that each possess an internal…

统计力学 · 物理学 2015-05-20 S. De Bievre , P. E. Parris

Although one-dimensional systems that exhibit translational symmetry are generally believed to exhibit anomalous heat transport, previous work has shown that the model of coupled rotators on a one-dimensional lattice constitute a possible…

统计力学 · 物理学 2015-01-13 Suman G. Das , Abhishek Dhar

The Lorentz gas is one of the simplest and most widely-studied models for particle transport in matter. It describes a cloud of non-interacting gas particles in an infinitely extended array of identical spherical scatterers. The model was…

动力系统 · 数学 2021-07-20 Jens Marklof , Andreas Strömbergsson

The Lorentz gas is one of the simplest, most widely used models to study the transport properties of rarified gases in matter. It describes the dynamics of a cloud of non-interacting point particles in an infinite array of fixed spherical…

动力系统 · 数学 2015-09-03 Jens Marklof

We study heat transport in a one-dimensional chain of a finite number $N$ of identical cells, coupled at its boundaries to stochastic particle reservoirs. At the center of each cell, tracer particles collide with fixed scatterers,…

统计力学 · 物理学 2022-04-10 Pierre Collet , Jean-Pierre Eckmann , Carlos Mejia-Monasterio

We present a novel mechanism for thermalizing a system of particles in equilibrium and nonequilibrium situations, based on specifically modeling energy transfer at the boundaries via a microscopic collision process. We apply our method to…

chao-dyn · 物理学 2007-05-23 K. Rateitschak , R. Klages , G. Nicolis

We present a unified framework to simulate heat and mass transport in systems of particles. The proposed framework is based on kinematic mean field theory and uses a phenomenological master equation to compute effective transport rates…

计算物理 · 物理学 2018-04-04 M. Ponga , D. Sun

Close to equilibrium, the exchange of particles and heat between macroscopic systems at different temperatures and different chemical potentials is known to be governed by a matrix of transport coefficients which is positive and symmetric.…

统计力学 · 物理学 2017-10-11 Euijin Jeon , Peter Talkner , Juyeon Yi , Yong Woon Kim

We present a scattering approach for the study of the transport and thermodynamics of quantum systems strongly coupled to their thermal environment(s). This formalism recovers the standard non-equilibrium Green's function expressions for…

统计力学 · 物理学 2020-07-15 Alexander Semenov , Abraham Nitzan

The periodic Lorentz gas describes an ensemble of non-interacting point particles in a periodic array of spherical scatterers. We have recently shown that, in the limit of small scatterer density (Boltzmann-Grad limit), the macroscopic…

数学物理 · 物理学 2008-05-17 Jens Marklof , Andreas Strombergsson

We introduce stochastic models for the transport of heat in systems described by local collisional dynamics. The dynamics consists of tracer particles moving through an array of hot scatterers describing the effect of heat baths at fixed…

数学物理 · 物理学 2015-05-13 Raphael Lefevere , Lorenzo Zambotti

We study nonequilibrium steady states of a one-dimensional stochastic model, originally introduced as an approximation of the Discrete Nonlinear Schr\"odinger equation. This model is characterized by two conserved quantities, namely mass…

统计力学 · 物理学 2023-06-29 Stefano Iubini , Antonio Politi , Paolo Politi

We consider heat transport through systems with broken time-reversal symmetry. We apply strong magnetic fields to weakly charged particle systems, where the dynamics are dominated by the Lorentz force and spring forces. The standard…

统计力学 · 物理学 2017-09-20 Shuji Tamaki , Makiko Sasada , Keiji Saito

Transport through two one-dimensional interacting metals (Luttinger liquids) coupled together at a single point is analyzed. The dominant coupling mechanism is shown to be of electrostatic nature. Describing the voltage sources by boundary…

强关联电子 · 物理学 2009-10-31 Andrei Komnik , Reinhold Egger

We show that simple diffusive systems, such as the Lorentz gas and multibaker maps are perfectly compatible with the laws of irreversible thermodynamics, despite the fact that the moving particles, or their equivalents, in these models do…

混沌动力学 · 物理学 2013-07-15 P. Gaspard , G. Nicolis , J. R. Dorfman

We propose a model with a quantized degree of freedom to study the heat transport in quasi-one dimensional system. Our simulations reveal three distinct temperature regimes. In particular, the intermediate regime is characterized by heat…

无序系统与神经网络 · 物理学 2009-11-11 Jun-Wen Mao , You-Quan Li

Relativistic transport phenomena are important from both theoretical and practical point of view. Accordingly, hydrodynamics of relativistic gas has been extensively studied theoretically. Here, we introduce a three-dimensional canonical…

统计力学 · 物理学 2015-06-15 Malihe Ghodrat , Afshin Montakhab

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

We propose a simple model of coupled heat and particle transport based on a zero-dimensional classical deterministic dynamics which is reminiscent of a railway switch whose action is only a function of the particle's energy. It is shown…

介观与纳米尺度物理 · 物理学 2012-11-28 Martin Horvat , Tomaz Prosen , Giuliano Benenti , Giulio Casati
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