Regensburg 2010 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 6: Poster Session I

DY 6.31: Poster

Montag, 22. März 2010, 16:00–18:00, Poster B2

Anomalous diffusion in inhomogeneous viscosity landscapes — •Markus Burgis, Volker Schaller, Alexei Krekhov, and Walter Zimmermann — Theoretische Physik I, Universität Bayreuth, D-95440 Bayreuth

We find anomalous diffusive motion for Brownian particles in inhomogeneous viscosity landscapes and we investigate the dependence of the anomalous power laws on the shape of the viscosity land scape. For a Brownian particle placed in the vicinity of a local minimum of the viscosity subdiffusion is predicted.

In contrast superdiffusion is found for the particle in the vicinity of a local maximum of the viscosity as well as in the region of a linearly varying viscosity. In the case of a heated particle in a binary mixture with different viscosities for pure components the thermodiffusion (Soret effect) induces a concentration gradient around the particle and therefore simultaneously the viscosity gradient. This leads to anomalous diffusion of the particle affected by memory effects.

We compare the results of simulations based on the Langevin equation for the particle motion and diffusion equation for the concentration field with the appropriate model incorporated memory effects.