Regensburg 2007 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 24: Poster I

DY 24.36: Poster

Wednesday, March 28, 2007, 16:00–18:00, Poster D

Transport of Brownian Particles in a Velocity Field — •Felix Müller and Lutz Schimansky-Geier — Institut für Physik, Humboldt Universität zu Berlin, Newtonstr. 15, 12489 Berlin

We consider transport in a two dimensional periodic velocity field which is due the addition of two planar waves. The field does not have a underlying potential and possesses extended lines of fixpoints where the deterministic motion stops.

Inclusion of additive noise makes the lines penetrable and an oscillatory motion along tori of the periodic field is excited. We characterize this motion by properties of the distribution density, the stationary mean velocity, the diffusion coefficient and escape times and find regimes where the noise plays a constructive role enhancing the transport of particles compared to the case without noise.