Noise induced currents and reliability of transport in frictional ratchets

TL;DR

This paper investigates how external noise influences the transport coherence of an overdamped Brownian particle in frictional ratchets, revealing that the friction profile critically affects transport reliability.

Contribution

It provides analytical expressions for velocity and diffusion in frictional ratchets and analyzes how friction profiles modulate transport coherence.

Findings

Transport coherence can be enhanced or degraded by frictional profile.

Analytical formulas for velocity and diffusion are derived.

Transport reliability depends sensitively on frictional variations.

Abstract

We study the coherence of transport of an overdamped Brownian particle in frictional ratchet system in the presence of external Gaussian white noise fluctuations. The analytical expressions for the particle velocity and diffusion coefficient are derived for this system and the reliability or coherence of transport is analysed by means of their ratio in terms of a dimensionless P$\acute{e}$clet number. We show that the coherence in the transport can be enhanced or degraded depending sensitively on the frictional profile with respect to the underlying potential.