Einstein relation for nonequilibrium steady states

T Hanney*, MR Evans

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

The Einstein relation, relating the steady state fluctuation properties to the linear response to a perturbation, is considered for steady states of stochastic models with a finite state space. We show how an Einstein relation always holds if the steady state satisfies detailed balance. More generally, we consider non-equilibrium steady states where detailed balance does not hold and show how a generalisation of the Einstein relation may be derived in certain cases. In particular, for the asymmetric simple exclusion process and a driven diffusive dimer model, the external perturbation creates and annihilates particles thus breaking the particle conservation of the unperturbed model.

Original languageEnglish
Pages (from-to)1377-1390
Number of pages14
JournalJournal of Statistical Physics
Volume111
Issue number5-6
Publication statusPublished - Jun 2003

Keywords

  • Einstein relation
  • nonequilibrium steady state
  • asymmetric exclusion process
  • ASYMMETRIC EXCLUSION MODEL
  • EXACT DIFFUSION CONSTANT
  • DYNAMICAL ENSEMBLES
  • OPEN BOUNDARIES
  • FLUCTUATIONS

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