Berlin 2012 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 29: Posters II
DY 29.21: Poster
Donnerstag, 29. März 2012, 17:00–19:00, Poster A
Effective diffusion and quasi-deterministic transport of Brownian particles in a spatio-temporally oscillating potential — •Pawel Romanczuk1, Felix Müller2, and Lutz Schimansky-Geier2 — 1Max-Planck-Institut für Physik komplexer Systeme, 01187 Dresden — 2Institut für Physik, Humboldt Universität zu Berlin, 12489 Berlin
We consider overdamped Brownian dynamics in an temporally oscillating and spatially periodic potential. We analyze the non-directed diffusive transport which shows oscillation induced enhancement of the effective diffusion and present an approximate formula for the effective diffusion coefficient. Furthermore we analyze the effect of the oscillating potential on directed transport due to the application of a constant force. We show via numerical simulations the existence of an optimal force at which the deterministic dynamics is in resonance with the potential oscillations giving rise to directed transport with extremely low dispersion.
[1] P Romanczuk, F Müller,L Schimansky-Geier, Quasi-deterministic transport of Brownian particles in an oscillating periodic potential, Phys. Rev. E, 81, 061120 (2010)
[2] F Müller, P Romanczuk, L Schimanksky-Geier, Synchronization and Transport in an oscillating periodic potential, Stochastics and Dynamics, 11, 2-3 (2011)