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

被引：0

作者：

Yao Li

Lai-Sang Young

机构：

[1] New York University,Courant Institute of Mathematical Sciences

来源：

Journal of Statistical Physics | 2013年 / 152卷

关键词：

Nonequilibrium steady states; Energy exchange; Markov chains;

D O I：

暂无

中图分类号：

学科分类号：

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：23

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