title: Nonequilibrium version of the Einstein relation.
abstract: 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.
authors.affiliation: Department of Physics, Ben-Gurion University of the Negev, Beer-Sheva 84105, Israel.
authors.forename: Daniel
authors.initials: D
authors.lastname: Hurowitz
authors.affiliation: Department of Physics, Ben-Gurion University of the Negev, Beer-Sheva 84105, Israel.
authors.forename: Doron
authors.initials: D
authors.lastname: Cohen
mesh_terms: D008962:Models, Theoretical; D055585:Physical Phenomena