Open AccessTHE ASYMPTOTIC PROPAGATION FUNCTION AND THE DISPERSION RELATION IN RQL THEORY OF PLASMA
Author(s) -
Yangzhong Zhang
Publication year - 1981
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.30.478
Subject(s) - propagator , dispersion relation , physics , perturbation theory (quantum mechanics) , phase space , statistical physics , divergence (linguistics) , markov process , operator (biology) , mathematical physics , quantum mechanics , mathematics , philosophy , linguistics , statistics , biochemistry , chemistry , repressor , transcription factor , gene
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.