Predicting PDF tails of flux in plasma sheath region

Details Predicting PDF tails of flux in plasma sheath region Predicting PDF tails of flux in plasma sheath region

2009-06-02

arxiv.org/abs/0906.0481v2

Plasma Physics and Controlled Fusion 52 (2010) 012001

Physics

Plasma Physics

13 pages, 1 figure

Scientific paper

This letter provides the first prediction of the probability density function (PDF) of flux $R$ in plasma sheath sheath region in magnetic fusion devices which is characterized by dynamical equations with exponential non-linearities. By using a non-perturbative statistical theory (instantons), the PDF tails of first moment are shown to be modified Gumbel distribution which represents a frequency distribution of the extreme values of the ensemble. The non-Gaussian PDF tails that are enhanced over Gaussian predictions are the result of intermittency caused by short lived coherent structures (instantons).

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