Theory of two‐point correlation function in a Vlasov plasma
Theory of two‐point correlation function in a Vlasov plasma
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弗拉索夫等离子体中的两点相关函数理论
DOI：
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发表时间：
1981
期刊：
影响因子：
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通讯作者：
T. H. Dupree
中科院分区：
文献类型：
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作者：
T. Boutros;T. H. Dupree
一种称为“团块”的相空间颗粒的自洽理论已经被推导出来。当不同相空间密度的区域被波动电场混合时，就会产生这些波动。通过对Vlasov等离子体的一点和两点方程的重整化，得到了这些波动的源项和湍流散射算子。对两点方程所表现出的奇异行为的适当处理，加上自洽方法，与以前的公式相比，导致了许多显著的变化。本文自始至终都在考虑静电湍流的情况。解决的方法是基于两个不同的时间尺度的概念，允许处理等时间两点方程作为其两个时间对应的初始条件。在这样的框架中，“测试”团块的图像自然出现。确定了簇相关函数的源项，并给出了一定的内在特征。
A self‐consistent theory of phase‐space granulations, called ’’clumps’’, has been derived. These fluctuations are produced when regions of different phase‐space density are mixed by the fluctuating electric fields. The source term and turbulent scattering operator for these fluctuations are obtained through a renormalization of the one‐ and two‐point equations for a Vlasov plasma. The proper treatment of the singular behavior exhibited by the two‐point equation, coupled with the self‐consistent approach leads to a number of significant changes compared with previous formulations. The case of electrostatic turbulence is considered throughout this paper. The method of solution is based on the concept of two disparate time scales which allow the treatment of the equal time two‐point equation as an initial condition for its two‐time counterpart. The picture of a ’’test’’ clump emerges quite naturally within such a framework. The source term for the clump correlation function is identified and certain intrinsi...