Lecturer: Prof. Doron Cohen
Affiliation: Ben-Gurion University
Abstract:
The celebrated Einstein relation between
the diffusion coefficient $D$ and the drift
velocity $v$ is violated in non-equilibrium
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
non-equilibrium fluctuation theorem
the $v/D$ ratio is found to be a non-linear
function of the affinity.
[1] D. Hurowitz and D. Cohen, Phys Rev E 90,
032129 (2014).