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
CITATION STYLE
Beck, C. (2006). Superstatistical Brownian motion. In Complexity and Nonextensivity: New Trends in Statistical Mechanics - Proceedings of the International Workshop, CN-Kyoto 2005 (pp. 29–36). Oxford University Press. https://doi.org/10.1143/PTPS.162.29
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