Summary
The second part of the paper is concerned with both the derivation of the Gauss-Markov BBGKY chain equations and their first-order momentum equations in the rescaled symbolic operator form yielding the arbitrary-kinetic-level statistical description of the embedded plasma system in the frame of the generalized Gauss-Markov oscillator model, and the Gauss-Markov self-consistent field kinetic equations (BY1) achieving the truncations of the various kinetic approaches (VL, B, LFP, BLB).
Riassunto
La seconda parte del lavoro tratta sia della derivazione delle equazioni a catena BBGKY di Gauss-Markov sia delle loro equazioni per l’impulso di prim’ordine nella ferma dell’operatore simbolico riscalato dando la descrizione statistica del livello cinetico arbitrario del sistema del plasma racchiuso nell’ambito del modello generalizzato dell’oscillatore di Gauss-Markov e le equazioni cinetiche di campo autoconsistenti (BY1) ottenendo i troncamenti dei vari approcci cinetici (VL, B, LFP, BLB).
Резюме
Вторая часть статьи посвящена выволу Гауссовой-Марковской цепочки BBGKY уравнений и импульсных уравнений первого порядка в символической операторпной форме, которая дает статистистическое описание на произвольном кинетическом уровне «внедренной» плазменной системы в рамках обобщенной Гауссово-Марковской осцилляторной модели, а также Гауссовы-Марковские само-согиасованные полевые кинетические уравнения (BY1), причем вьшолняются обрезания для различных кинетических приближений (VL, B, LFP, BLB).
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Lelkes, K. On Gauss-Markov arbitrary-kinetic-level stochastic dynamics of plasmas—II. Il Nuovo Cimento D 11, 1025–1048 (1989). https://doi.org/10.1007/BF02455355
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DOI: https://doi.org/10.1007/BF02455355