Predicting PDF tails of flux in plasma sheath region

Abstract

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).

13 pages, 1 figure

References in corpus (5)

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Cited by in corpus (5)

• A theory of non-local linear drift wave transport
• Statistical analysis and modeling of intermittent transport events in the tokamak SOL
• Non-local gyrokinetic model of linear ion-temperature-gradient modes
• The probability density function tail of the Kardar-Parisi-Zhang equation in the strongly non-linear regime
• Predicting PDF tails in systems with logarithmic non-linearity