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Regensburg 2013 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 33: Poster II

DY 33.3: Poster

Donnerstag, 14. März 2013, 17:00–19:00, Poster C

Diffusion in inhomogeneous environmentsJohannes Müller1,2 and •Markus Rauscher1,21Max-Planck-Institut für Intelligente Systeme, Stuttgart — 2Institut für Theoretische Physik IV, Universität Stuttgart

In the vicinity of walls the mobility of colloidal particles depends on the distance from the wall. As a consequence, the noise in the Langevin equation describing the overdamped Brownian dynamics is multiplicative and therefore ill defined. The correct stochastic calculus is determined by equilibrium statistical physics: it is the Klimontovich calculus. However, the underdamped Brownian dynamics is well defined. We investigate the overdamped limit in the framework of adiabatic elemination and we present a formal solution of the underdamped Langevin equation which allows to perform the overdamped limit on the level of the Kramers-Moyal coefficients.

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