Superstatistical Brownian motion
Statistical Mechanics
2009-11-11 v1 Mesoscale and Nanoscale Physics
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.
Cite
@article{arxiv.cond-mat/0508263,
title = {Superstatistical Brownian motion},
author = {Christian Beck},
journal= {arXiv preprint arXiv:cond-mat/0508263},
year = {2009}
}
Comments
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.)