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;
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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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