Superstatistics of Brownian motion: A comparative study
arXiv:0706.0436 · doi:10.1016/j.physa.2007.06.040
Abstract
The dynamics of temperature fluctuations of a gas of Brownian particles in local equilibrium with a nonequilibrium heat bath, are described using an approach consistent with Boltzmann-Gibbs statistics (BG). We use mesoscopic nonequilibrium thermodynamics (MNET) to derive a Fokker-Planck equation for the probability distribution in phase space including the local intensive variables fluctuations. We contract the description to obtain an effective probability distribution (EPD) from which the mass density, van Hove's function and the dynamic structure factor of the system are obtained. The main result is to show that in the long time limit the EPD exhibits a similar behavior as the superstatistics distribution of nonextensive statistical mechanics (NESM), therfore implying that the coarse-graining procedure is responsible for the so called nonextensive effects.
14 pages,5 figures
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- Generalization of the Beck-Cohen superstatistics
- Escape process and stochastic resonance under noise-intensity fluctuation
- Noise-intensity fluctuation in Langevin model and its higher-order Fokker-Planck equation
- Bistable stochastic processes in the q-exponential family
- Fluctuating noise drives Brownian transport