The non-equilibrium steady state of sparse systems with non-trivial topology

Daniel Hurowitz, Saar Rahav, Doron Cohen

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


We study the steady state of a multiply connected system that is driven out of equilibrium by a sparse perturbation. The prototype example is an N-site ring coupled to a thermal bath, driven by a stationary source that induces transitions with log-wide distributed rates. An induced current arises, which is controlled by the strength of the driving, and an associated topological term appears in the expression for the energy absorption rate. Due to the sparsity, the crossover from linear response to saturation is mediated by an intermediate regime, where the current is exponentially small in , which is related to the work of Sinai on "random walk in a random environment".

Original languageEnglish
Article number20002 (6pp)
Issue number2
StatePublished - 1 Apr 2012

ASJC Scopus subject areas

  • General Physics and Astronomy


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