Nonequilibrium steady state and induced currents of a mesoscopically glassy system: Interplay of resistor-network theory and Sinai physics

Daniel Hurowitz, Saar Rahav, Doron Cohen

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

We introduce an explicit solution for the nonequilibrium steady state (NESS) of a ring that is coupled to a thermal bath, and is driven by an external hot source with log-wide distribution of couplings. Having time scales that stretch over several decades is similar to glassy systems. Consequently there is a wide range of driving intensities where the NESS is like that of a random walker in a biased Brownian landscape. We investigate the resulting statistics of the induced current I. For a single ring we discuss how sign of I fluctuates as the intensity of the driving is increased, while for an ensemble of rings we highlight the fingerprints of Sinai physics on the distribution of the absolute value of I.

Original languageEnglish
Article number062141
JournalPhysical Review E
Volume88
Issue number6
DOIs
StatePublished - 26 Dec 2013

ASJC Scopus subject areas

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

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