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Superstatistical Brownian motion

Christian Beck
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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.

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BibTeXRIS

Christian Beck. 2005-08-10. Superstatistical Brownian motion. https://doi.org/10.1143/ptps.162.29

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