Volume 74, Number 4, May 2006
|Page(s)||609 - 615|
|Published online||07 April 2006|
Statistics of precursors to fingering processes
Physics Department CP 231, Université Libre de Bruxelles - 1050 Bruxelles, Belgium
Accepted: 15 March 2006
We present an analysis of the statistical properties of hydrodynamic field fluctuations which reveal the existence of precursors to fingering processes. These precursors are found to exhibit power law distributions, and these power laws are shown to follow from spatial q-Gaussian structures which are solutions to the generalized non-linear diffusion equation.
PACS: 05.90.+m – Other topics in statistical physics, thermodynamics, and nonlinear dynamical systems / 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion / 05.10.Gg – Stochastic analysis methods (Fokker-Planck, Langevin, etc.)
© EDP Sciences, 2006
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