Ratchet transport with subdiffusion

TL;DR

This paper presents a model combining subdiffusive dynamics with ratchet effects, demonstrating that directed transport occurs sublinearly over time, which could explain certain microbiological motility phenomena.

Contribution

The paper introduces a novel model integrating subdiffusion and ratchet effects, highlighting sublinear directed transport relevant to microbiological motility.

Findings

Directed transport is sublinear, following <x(t)> ≈ Jt^β with β<1.

Model potentially explains saltatory microbiological motility.

Provides a theoretical framework for subdiffusive ratchet transport.

Abstract

We introduce a model which incorporate the subdiffusive dynamics and the ratchet effect. Using a subordination ideology, we show that the resulting directed transport is sublinear, $<x(t)> \simeq Jt^{\beta}$, $\beta < 1$. The proposed model may be relevant to a phenomenon of saltatory microbiological motility.