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


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.

  • Figure
  • Figure
  • Figure
  • Received 12 February 2010


©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

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand

Vol. 81, Iss. 6 — June 2010

Reuse & Permissions
Access Options
Physical Review E Scope Description to Include Biological Physics
January 14, 2016

The editors of Physical Review E are pleased to announce that the journal’s stated scope has been expanded to explicitly include the term “Biological Physics.”

Authorization Required




Sign up to receive regular email alerts from Physical Review E

Log In



Article Lookup

Paste a citation or DOI

Enter a citation