Regensburg 2007 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 18: Brownian motion and transport II

DY 18.5: Talk

Tuesday, March 27, 2007, 17:45–18:00, H3

Exact solution for the diffusion coefficient of nonlinear Brownian motion — •Benjamin Lindner — Max-Planck-Institut, Dresden, Germany

A quadrature formula for the diffusion coefficient of a Brownian particle with nonlinear velocity dependent friction and diffusion coefficients is derived for the one-dimensional case. The result is discussed for three different systems: (1) an equilibrium system with nonlinear friction function; (2) a model of relativistic Brownian motion; (3) a phenomenological model of biological motion (active Brownian motion).