Diffusion accompanying noise induced transport in frictional ratchets

TL;DR

This paper analyzes how noise influences particle transport in frictional ratchets, deriving analytical expressions for current and diffusion, and showing these systems have higher transport coherence than other ratchet types.

Contribution

The study provides analytical formulas for current and diffusion in frictional ratchets and compares their transport coherence to other ratchet models.

Findings

Frictional ratchets exhibit higher coherence than flashing and rocking ratchets.

Analytical expressions for current and diffusion are derived.

Transport reliability is discussed through the ratio of current to diffusion.

Abstract

We study the noise induced transport of an overdamped Brownian particle in frictional ratchet systems in the presence of external Gaussian white noise fluctuations. The analytical expressions for current and diffusion coefficient are derived and the reliability or coherence of transport are discussed by means of their ratio. We show that frictional ratchets exhibit larger coherence as compared to the flashing and rocking ratchets.