Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2006-01-18
Physics
Condensed Matter
Statistical Mechanics
7 pages incl. 5 figs; tp appear in Europhysics Letters
Scientific paper
10.1209/epl/i2005-10567-2
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.
Boon Jean Pierre
Grosfils Patrick
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