Predicting PDF tails in systems with logarithmic non-linearity
arXiv:0906.2886 · doi:10.1016/j.physleta.2010.02.017
Abstract
The probability density function (PDF) of flux is computed in systems with logarithmic non-linearity using a model non-linear dynamical equation. The PDF tails of the first moment flux are analytically predicted to be power law. These PDF tails are shown to be broader than a Gaussian distribution and are a manifestation of intermittency caused by short lived coherent structures (instantons).
18 pages, 1 figure
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