Noise-induced transport in symmetric periodic potentials: White shot noise versus deterministic noise

Abstract
We elucidate the difierences and similarities of directed transport in periodic symmetric potentials that are driven either by Poissonian white shot noise or by deterministic noise. The key ingredient for flnite current is identical in both cases: A statistical asymmetry |as characterized by nonvanishing odd-numbered higher-order cumulants of the noise force| yields difierent forward and backward transition rates.