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26 April 2024
 
  » arxiv » cond-mat/0508263

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Superstatistical Brownian motion
Christian Beck ;
Date 10 Aug 2005
Subject Statistical Mechanics; Mesoscopic Systems and Quantum Hall Effect | cond-mat.stat-mech cond-mat.mes-hall
AbstractAs 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.
Source arXiv, cond-mat/0508263
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