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

Research output: Contribution to journalArticle

Abstract

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.

Original languageEnglish (US)
Pages (from-to)1170-1193
Number of pages24
JournalJournal of Statistical Physics
Volume152
Issue number6
DOIs
StatePublished - Sep 2013

Fingerprint

Nonequilibrium Steady State
Exponential Convergence
Lebesgue Measure
Heat Conduction
conductive heat transfer
Stochastic Model
Existence and Uniqueness
Initial conditions
Dependent
uniqueness
Energy
Interaction
Model
interactions
energy

Keywords

  • Energy exchange
  • Markov chains
  • Nonequilibrium steady states

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Existence of Nonequilibrium Steady State for a Simple Model of Heat Conduction. / Li, Yao; Young, Lai-Sang.

In: Journal of Statistical Physics, Vol. 152, No. 6, 09.2013, p. 1170-1193.

Research output: Contribution to journalArticle

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