Title: Nonlinear Brownian motion - mean square displacement
Authors: W.Ebeling (Institute of Physics, Humboldt University, D-12489 Berlin, Germany)

The stochastic dynamics of self-propelled Brownian particles is studied by means of the Langevin and the Fokker-Planck approach. We model the driving by a nonlinear friction function which has a negative part at small velocities, leading to active Brownian motion of the particles. The mean square displacement is estimated analytically and compared with numerical simulations.

Key words: statistical mechanics, Brownian motion, nonlinear friction, self-propelling, Fokker-Planck equations, mean square displacement
PACS: 05.40.+j, 05.40.Jc