Ruprecht-Karls-Universität Heidelberg
University of HeidelbergFaculty of Physics and AstronomyInstitut of Theoretical PhysicsAndreas MielkeAndreas Mielkeemail

Andreas Mielke
Institut for Theoretical Physics
Ruprecht-Karls University
Philosophenweg 19
D-69120 Heidelberg
Germany
Tel.: ++49 6221 549431 (Secretary)
Fax: ++49 6221 549331
e-mail: mielke@tphys.uni-heidelberg.de


Andreas Mielke: Noise induced transport
Ann. Physik (Leipzig)4, 476-500 (1995) .

Abstract

We study the overdamped motion of a particle in a one-dimensional periodic potential driven by a stochastic force. If the force is correlated in time (non-white), and if the potential has no inversion symmetry, a current is generated. In the case of a piecewise linaer potential we obtain a closed form for the current as a ratio of two determinants. This allows us to calculate the current as a function of the noise strength, the correlation time and the temperature of the system for several stochastic processes. We examin several limiting situations. Depending on the statistics of the noise process, the direction of the current may change. Two different mechanisms for this effect are discussed.

BibTeX-entry

@article{Mielke1995a,
author="Andreas Mielke",
title="Noise induced transport",
journal="Ann. Physik (Leipzig)",
volume="4",
pages="476-500",
year="1995"
}

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Last changes: 15.11.2017. mielke@tphys.uni-heidelberg.de