Noise induced transport at zero temperature

TL;DR

This paper investigates how a particle in an over-damped regime at zero temperature can exhibit directed transport due to correlated noise in a sawtooth potential, analyzing stationary distributions and currents.

Contribution

It provides a detailed analysis of noise-induced transport at zero temperature, including improved asymptotic expansions for the current in correlated noise scenarios.

Findings

Current occurs despite zero mean of noise

Stationary distribution and current depend on noise parameters

Improved asymptotic expansion for specific cases

Abstract

We consider a particle in the over-damped regime at zero temperature under the influence of a sawtooth potential and of a noisy force, which is correlated in time. A current occurs, even if the mean of the noisy force vanishes. We calculate the stationary probability distribution and the stationary current. We discuss, how these items depend on the characteristic parameters of the underlying stochastic process. A formal expansion of the current around the white-noise limit not always gives the correct asymptotic behaviour. We improve the expansion for some simple but representative cases.