Superstatistical Brownian Motion | Zendy

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Superstatistical Brownian Motion

Author(s) -

Christian Beck

Publication year - 2006

Publication title -

progress of theoretical physics supplement

Language(s) - English

Resource type - Journals

ISSN - 0375-9687

DOI - 10.1143/ptps.162.29

Subject(s) - brownian motion , statistical physics , stochastic differential equation , fokker–planck equation , turbulence , geometric brownian motion , series (stratigraphy) , physics , partial differential equation , particle (ecology) , classical mechanics , diffusion process , mechanics , geology , computer science , quantum mechanics , innovation diffusion , paleontology , knowledge management , oceanography

As a main example for the superstatistics approach, we study a Brownianparticle moving in a d-dimensional inhomogeneous environment with macroscopictemperature fluctuations. We discuss the average occupation time of theparticle in spatial cells with a given temperature. The Fokker-Planck equationfor this problem becomes a stochastic partial differential equation. Weillustrate our results using experimentally measured time series fromhydrodynamic 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.

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