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Statistics of precursors to fingering processes

Patrick Grosfils·Jean Pierre Boon
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Abstract

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.

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Patrick Grosfils, Jean Pierre Boon. 2006-03-23. Statistics of precursors to fingering processes. https://doi.org/10.1209/epl%2Fi2005-10567-2

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