等离子体重整化准线性理论中的渐近传播函数与色散关系

本文引入了系统中六维相空间的表象理论。利用这一理论分析了Misguich-Balescu所给出的单位子渐近传播算子和Dupree的平均格林函数之间的关系,发现在平稳过程中两者是一致的。从而解决了MB所给出非线性色散关系中共振函数的发散困难。指出产生发散困难的原因在于M-B在子动力学中引入的涨落产生算子的概念对多重时间尺度的摄动理论是不适用的。关键词：

THE ASYMPTOTIC PROPAGATION FUNCTION AND THE DISPERSION RELATION IN RQL THEORY OF PLASMA

In this paper, a representation theory in 6-dimensional phase space for Klimonto-vich-Vlasov system is introduced. By using this theory, the relation between the Mis-guich-Balescu's one-particle asymptotic propagator and the Dupree's average Green function is analyzed. It is found that they coincide in the stationary Markovian process, by using them the divergence difficulty of resonance function in the MB's non-linear dispersion relation is resolved. It is pointed out that the divergence difficulty arises from the failure of the concept of fluctuation production operator introduced by MB in their sub-dynamics for the multiple-time-scale perturbation theory.