Statistics of precursors to fingering processes
classification
❄️ cond-mat.stat-mech
keywords
precursorsfingeringpowerprocessesanalysisdiffusiondistributionsequation
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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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