Existence of Nonequilibrium Steady State for a Simple Model of Heat Conduction

被引：8

作者：

Li, Yao ^{[1
]}

Young, Lai-Sang ^{[1
]}

机构：

[1] NYU, Courant Inst Math Sci, New York, NY 10012 USA

来源：

JOURNAL OF STATISTICAL PHYSICS | 2013年 / 152卷 / 06期

基金：

美国国家科学基金会;

关键词：

Nonequilibrium steady states; Energy exchange; Markov chains; FOURIERS LAW; SYSTEMS;

D O I：

10.1007/s10955-013-0801-1

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This paper contains rigorous results for a simple stochastic model of heat conduction similar to the KMP (Knipnis-Marchiori-Presutti) model but with possibly energy-dependent interaction rates. We prove the existence and uniqueness of nonequilibrium steady states, their relation to Lebesgue measure, and exponential convergence to steady states from suitable initial conditions.

引用

页码：1170 / 1193

页数：24

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