Statistics of precursors to fingering processesP. Grosfils and J. P. Boon
Physics Department CP 231, Université Libre de Bruxelles - 1050 Bruxelles, Belgium
received 21 December 2005; accepted in final form 15 March 2006
published online 7 April 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.
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.).
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