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Directed transport in periodically rocked random sawtooth potentials

S. I. Denisov1,2,*, T. V. Lyutyy2, E. S. Denisova2, P. Hänggi3,4, and H. Kantz1

  • 1Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Straße 38, D-01187 Dresden, Germany
  • 2Sumy State University, 2 Rimsky-Korsakov Street, UA-40007 Sumy, Ukraine
  • 3Institut für Physik, Universität Augsburg, Universitätsstraße 1, D-86135 Augsburg, Germany
  • 4Department of Physics and Centre for Computational Science and Engineering, National University of Singapore, Singapore 117542, Republic of Singapore

  • *stdenis@pks.mpg.de
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Phys. Rev. E 79, 051102 – Published 4 May, 2009

DOI: https://doi.org/10.1103/PhysRevE.79.051102

Abstract

We study directed transport of overdamped particles in a periodically rocked random sawtooth potential. Two transport regimes can be identified which are characterized by a nonzero value of the average velocity of particles and a zero value, respectively. The properties of directed transport in these regimes are investigated both analytically and numerically in terms of a random sawtooth potential and a periodically varying driving force. Precise conditions for the occurrence of transition between these two transport regimes are derived and analyzed in detail.

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Phys. Rev. E 79, 051102– Published 4 May, 2009
  • Received 26 February 2009

© 2009 American Physical Society

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