Superstatistical Brownian motion

Abstract

As a main example for the superstatistics approach, we study a Brownian particle moving in a d-dimensional inhomogeneous environment with macroscopic temperature fluctuations. We discuss the average occupation time of the particle in spatial cells with a given temperature. The Fokker-Planck equation for this problem becomes a stochastic partial differential equation. We illustrate our results using experimentally measured time series from hydrodynamic turbulence.Comment: 11 pages, 2 figures. To appear in the proceedings of the international workshop `Complexity and Nonextensivity', Kyoto, 14-18 March 2005 (Progr. Theor. Phys. Suppl.