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arXiv 0903.2189physics.plasm-ph
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用第一性原理方程解释边缘等离子体涨落中非高斯分布的普适性

An Explanation From First-Principle Equations For The Universality of Non-Gaussian Distributions in Edge Plasma Fluctuations

F. Sattin

摘要:

等离子体边缘参数起伏的概率分布函数(PDF)是一条与正态分布截然不同的曲线,其形状几乎与等离子体条件和装置无关。我们从边缘湍流的最小流体模型开始,并将其重新表述为非耦合朗之万方程,承认所有相关领域的PDF的解析解。我们发现,PDF的假设的特点,和他们的普遍性质,涉及二次非线性朗之万方程的一般属性。

英文摘要:

Probability Distributions Functions (PDFs) of fluctuations of plasma edge parameters are skewed curves fairly different from normal distributions, whose shape appears almost independent of the plasma conditions and devices. We start from a minimal fluid model of edge turbulence and reformulate it in terms of uncoupled Langevin equations, admiting analytical solution for the PDFs of all the fields involved. We show that the supposed peculiarities of PDFs, and their universal character, are related to the generic properties of Langevin equations involving quadratic nonlinearities.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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