Statistics of precursors to fingering processes
Patrick Grosfils, Jean Pierre Boon
TL;DR
This paper analyzes hydrodynamic fluctuations that precede fingering processes, revealing power law distributions linked to spatial q-Gaussian structures derived from a generalized non-linear diffusion equation.
Contribution
It introduces a statistical analysis connecting precursors to fingering with power law distributions and q-Gaussian structures from a non-linear diffusion model.
Findings
Precursor fluctuations follow power law distributions.
Spatial q-Gaussian structures explain the observed power laws.
Theoretical link established between fluctuations and non-linear diffusion.
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 -Gaussian structures which are solutions to the generalized non-linear diffusion equation.
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