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arXiv · 0906.2886

Predicting PDF tails in systems with logarithmic non-linearity

Johan Anderson·Eun-jin Kim
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Abstract

The probability density function (PDF) of flux $R$ 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).

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Johan Anderson, Eun-jin Kim. 2010-03-11. Predicting PDF tails in systems with logarithmic non-linearity. https://doi.org/10.1016/j.physleta.2010.02.017

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