Ratchet transport with subdiffusion

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, $<x(t)>\simeq J{t}^{\beta }$, $\beta <1$. The proposed model may be relevant to a phenomenon of saltatory microbiological motility.

5 pages, 3 figures

References in corpus (6)

• Brownian motors: noisy transport far from equilibrium
• From Diffusion to Anomalous Diffusion: A Century after Einstein's Brownian Motion
• Directed current due to broken time-space symmetry
• Chaotic Transport and Current Reversal in Deterministic Ratchets
• Broken space-time symmetries and mechanisms of rectification of ac fields by nonlinear (non)adiabatic response
• Dynamical heat channels

Cited by in corpus (1)

• The Persistence of Uphill Anomalous Transport in Inhomogeneous Media