Fractional Brownian motors and Stochastic Resonance
Statistical Mechanics
2012-06-04 v1
Abstract
We study fluctuating tilt Brownian ratchets based on fractional subdiffusion in sticky viscoelastic media characterized by a power law memory kernel. Unlike the normal diffusion case the rectification effect vanishes in the adiabatically slow modulation limit and optimizes in a driving frequency range. It is shown also that anomalous rectification effect is maximal (stochastic resonance effect) at optimal temperature and can exhibit a surprisingly good quality. Moreover, subdiffusive current can flow in the counter-intuitive direction upon a change of temperature or driving frequency. The dependence of anomalous transport on load exhibits a remarkably simple universality.
Cite
@article{arxiv.1111.4833,
title = {Fractional Brownian motors and Stochastic Resonance},
author = {Igor Goychuk and Vasyl Kharchenko},
journal= {arXiv preprint arXiv:1111.4833},
year = {2012}
}