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Predicting PDF tails of flux in plasma sheath region \ud \ud

By J. Anderson and E.J. Kim

Abstract

This letter provides the first prediction of the probability density function (PDF) of flux R in plasma 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 a modified Gumbel distribution which represents a frequency distribution of the extreme values of the ensemble. The non-Gaussian PDF tails that may be enhanced over Gaussian predictions are the result of intermittency caused by short lived coherent structures (instantons)

Publisher: Institute of Physics
Year: 2010
OAI identifier: oai:eprints.whiterose.ac.uk:10362

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