等离子体鞘层区通量尾的预测
Predicting PDF tails of flux in plasma sheath region
摘要：
本文首次给出了磁聚变装置等离子体鞘层区磁通量$R$的概率密度函数（PDF）的预测，该函数的动力学方程具有指数非线性。利用非微扰统计理论（瞬子），证明了一阶矩的PDF尾是修正的Gumbel分布，它代表了系综极值的频率分布。在高斯预测上增强的非高斯PDF尾部是由短寿命相干结构（瞬子）引起的不连续性的结果。
英文摘要：
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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