OPTIMAL DIFFUSIVE TRANSPORT IN A TILTED PERIODIC POTENTIAL-Reference-Cited by-同舟云学术

OPTIMAL DIFFUSIVE TRANSPORT IN A TILTED PERIODIC POTENTIAL

Published:2001-03 Issue:01 Volume:01 Page:R25-R39
ISSN:0219-4775
Container-title:Fluctuation and Noise Letters
language:en
Short-container-title:Fluct. Noise Lett.

Author:

LINDNER BENJAMIN¹,KOSTUR MARCIN¹,SCHIMANSKY-GEIER LUTZ¹

Affiliation:

1. Institute of Physics, Humboldt-University Berlin, Invalidenstr.110 D-10115 Berlin, Germany

Abstract

We study the diffusive motion of an overdamped Brownian particle in a tilted periodic potential. Mapping the continuous dynamics onto a discrete cumulative process we find exact expressions for the diffusion coefficient and the Péclet number which characterize the transport. At a sufficiently strong but subcritical bias an optimized transport with respect to the noise strength is observed. These results are confirmed by numerical solution of the Fokker-Planck equation.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Physics and Astronomy,General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219477501000056

Reference8 articles.

1. Problem of Brownian Motion in a Periodic Potential

2. Stochastic resonance on a circle

3. Noise-induced synchronous neuronal oscillations

4. Diffusion coefficient for a Brownian particle in a periodic field of force

5. Threshold diffusion in a tilted washboard potential

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