PMID: 12786360Jun 6, 2003Paper

Power-law distribution of pressure fluctuations in multiphase flow

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
S GheorghiuM-O Coppens

Abstract

Bubbling fluidized beds are granular systems, in which a deep layer of particles is set in motion by a vertical gas stream, with the excess gas rising as bubbles through the bed. We show that pressure fluctuations in such a system have non-Gaussian statistics. The probability density function has a power-law drop-off and is very well represented by a Tsallis distribution. Its shape is explained through the folding of the Gaussian distribution of pressure fluctuations produced by a monodisperse set of bubbles, onto the actual distribution of bubble sizes in the bed, assuming that bubbles coalesce via a Smoluchowski-type aggregation process. Therefore, the Tsallis statistics arise as a result of bubble polydispersity, rather than system nonextensivity.

References

Apr 1, 1985·Physical Review Letters· van Dongen PG, M H Ernst
Nov 13, 1995·Physical Review Letters·C TsallisR Maynard
Jul 17, 1995·Physical Review Letters·D H Zanette, P A Alemany
Sep 16, 2000·Physical Review Letters·R CafieroH Jürgen Herrmann
Apr 20, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·C BeckH L Swinney
Dec 12, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·V LatoraC Tsallis

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Citations

Jan 13, 2005·Genes, Chromosomes & Cancer·Mattias HöglundFelix Mitelman

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