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DY: Fachverband Dynamik und Statistische Physik

DY 56: Poster - Statistical Physics

DY 56.3: Poster

Donnerstag, 19. März 2015, 16:00–18:00, Poster A

Large deviations in Taylor diffusion — •Marcel Kahlen and Andreas Engel — Institut für Physik, Universität Oldenburg, Deutschland

Diffusion of particles in streaming liquids is ubiquitous. Taylor diffusion addresses the dispersion of particles in shear flow.

Using a large-deviation principle, we approximate the time dependent particle distribution for large times in a Taylor diffusion setting with N layers. The stochastic transitions of the particles between the layers is modelled as a Markovian jump process. Applying the contraction principle to the rate function for the empirical density of this process as given by Donsker and Varadhan, we obtain a set of non-linear equations for the lateral particle distribution at large times. For the simplest case of N=2 layers the contraction can be performed analytically and reproduces known results. In the general case a linearisation yields an approximate solution which we compare with simulation results.