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Fractional Brownian motors and stochastic resonance

Igor Goychuk*

Vasyl Kharchenko†

  • Institute of Physics, University of Augsburg, Universitätstrasse 1, D-86135 Augsburg, Germany

  • Institute of Physics, University of Augsburg, Universitätstrasse 1, D-86135 Augsburg, Germany and Institute of Applied Physics, 58 Petropavlovskaya Street, 40030 Sumy, Ukraine

  • *igor.goychuk@physik.uni-augsburg.de
  • †vasyl.kharchenko@physik.uni-augsburg.de
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Phys. Rev. E 85, 051131 – Published 22 May, 2012

DOI: https://doi.org/10.1103/PhysRevE.85.051131

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 the anomalous rectification effect is maximal (stochastic resonance effect) at optimal temperature and can be of surprisingly good quality. Moreover, subdiffusive current can flow in the counterintuitive direction upon a change of temperature or driving frequency. The dependence of anomalous transport on load exhibits a remarkably simple universality.

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Phys. Rev. E 85, 051131– Published 22 May, 2012
  • Received 26 October 2011

©2012 American Physical Society

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