Regensburg 2013 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 33: Poster II
DY 33.3: Poster
Thursday, March 14, 2013, 17:00–19:00, Poster C
Diffusion in inhomogeneous environments — Johannes Müller1,2 and •Markus Rauscher1,2 — 1Max-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.