Superstatistical Brownian motion

Details Superstatistical Brownian motion Superstatistical Brownian motion

2005-08-10

arxiv.org/abs/cond-mat/0508263v1

Physics

Condensed Matter

Statistical Mechanics

11 pages, 2 figures. To appear in the proceedings of the international workshop `Complexity and Nonextensivity', Kyoto, 14-18

Scientific paper

10.1143/PTPS.162.29

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.

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