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Predicting PDF tails in systems with logarithmic non-linearity

Plasma Physics 2010-03-12 v2 Fluid Dynamics

Abstract

The probability density function (PDF) of flux RR 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).

Keywords

Cite

@article{arxiv.0906.2886,
  title  = {Predicting PDF tails in systems with logarithmic non-linearity},
  author = {Johan Anderson and Eun-jin Kim},
  journal= {arXiv preprint arXiv:0906.2886},
  year   = {2010}
}

Comments

18 pages, 1 figure