Quasideterministic transport of Brownian particles in an oscillating periodic potential

Pawel Romanczuk, Felix Müller, and Lutz Schimansky-Geier
Phys. Rev. E 81, 061120 – Published 14 June 2010

Abstract

We consider overdamped Brownian dynamics in a periodic potential with temporally oscillating amplitude. We analyze the transport which shows effective diffusion enhanced by the oscillations and derive approximate expressions for the diffusion coefficient. Furthermore we analyze the effect of the oscillating potential on the transport if additionally a constant force is applied. We show the existence of synchronization regimes at which the deterministic dynamics is in resonance with the potential oscillations, giving rise to transport with extremely low dispersion. We distinguish slow and fast oscillatory driving and give analytical expressions for the mean velocity and effective diffusion.

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  • Received 12 February 2010

DOI:https://doi.org/10.1103/PhysRevE.81.061120

©2010 American Physical Society

Authors & Affiliations

Pawel Romanczuk*, Felix Müller, and Lutz Schimansky-Geier

  • Institute of Physics, Humboldt University Berlin, Newtonstr. 15, 12489 Berlin, Germany

  • *romanczuk@physik.hu-berlin.de

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Issue

Vol. 81, Iss. 6 — June 2010

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