Nonequilibrium version of the Einstein relation

Daniel Hurowitz, Doron Cohen

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


The celebrated Einstein relation between the diffusion coefficient D and the drift velocity v is violated in nonequilibrium circumstances. We analyze how this violation emerges for the simplest example of a Brownian motion on a lattice, taking into account the interplay between the periodicity, the randomness, and the asymmetry of the transition rates. Based on the nonequilibrium fluctuation theorem the v/D ratio is found to be a nonlinear function of the affinity. Hence it depends in a nontrivial way on the microscopics of the sample.

Original languageEnglish
Article number032129
JournalPhysical Review E
Issue number3
StatePublished - 22 Sep 2014

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics


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