Nonstationary Transport by Internal White Noise and "Localization" in Ratchets

TL;DR

This paper investigates how internal white noise causes nonstationary transport and localization phenomena in ratchet systems, revealing asymmetries in passage times and diffusion behaviors through analytical and numerical methods.

Contribution

It uncovers the effects of internal white noise on transport asymmetry, localization, and equilibrium drift in ratchets, providing new insights into nonstationary dynamics.

Findings

Asymmetry in inter-well mean first passage times

Nonstationary transport phenomena

Localization and ultraslow diffusion in disordered ratchets

Abstract

We revealed a right-left asymmetry of the inter-well mean first passage times for the Brownian particles in a ratchet potential under internal white noise. We showed analytically and numerically that this asymmetry gives rise to the following phenomena: (i) nonstationary transport; (ii) localization or ultraslow (Sinai) diffusion for ratchets with a disorder in the asymmetry parameter of the potential; (iii) equilibrium "drift of labels" in circular ratchets.