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.
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页码：1170 / 1193
页数：23
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