The geometric universality of currents

V. Y. Chernyak, M. Chertkov, N. A. Sinitsyn

Research output: Contribution to journalArticlepeer-review

12 Scopus citations

Abstract

We discuss a non-equilibrium statistical system on a graph or network. Particles are injected, interact with each other, and traverse and leave the graph in a stochastic manner. We show that under the assumption of constancy of a subset of parameters, the system demonstrates the universality of the statistics of the particle currents. In systems connected to a heat bath, this universality leads to fluctuation relations that forbid distinguishing stochastic currents in a strongly driven regime from the currents in thermodynamic equilibrium. We apply this universality to enabling examples from mesoscopic electronics and biochemistry.

Original languageEnglish (US)
Article numberP09006
JournalJournal of Statistical Mechanics: Theory and Experiment
Volume2011
Issue number9
DOIs
StatePublished - Sep 2011
Externally publishedYes

Keywords

  • current fluctuations
  • stochastic particle dynamics (theory)
  • symmetries of integrable models

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Statistics, Probability and Uncertainty

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