Perturbation method in the theory of kinetic equations
Teoretičeskaâ i matematičeskaâ fizika, Tome 63 (1985) no. 1, pp. 113-131
Voir la notice de l'article provenant de la source Math-Net.Ru
Including in the definitions of correlation functions singular corrections that describe
“self-correlations”, it is possible to find a rigorous, almost trivial solution of the
complete BBGKY hierarchy for a system of charged particles corresponding to motion
of them in a self-consistent field. Study of the averaged small deviations from this
motion makes it possible to construct a scheme of successive approximations. In this
manner, an expansion is obtained for the single-particle distribution function which is
equivalent to a generalization of Grad's moment method to the phase space. In the first
order of perturbation theory, an approximate Lenard–Balescu equation that differs from
the result of its direct linearization is obtained. The proposed approach makes possible
a more consistent approximate treatment of statistical systems.
@article{TMF_1985_63_1_a8,
author = {A. N. Gordeyev},
title = {Perturbation method in the theory of kinetic equations},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {113--131},
publisher = {mathdoc},
volume = {63},
number = {1},
year = {1985},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1985_63_1_a8/}
}
A. N. Gordeyev. Perturbation method in the theory of kinetic equations. Teoretičeskaâ i matematičeskaâ fizika, Tome 63 (1985) no. 1, pp. 113-131. http://geodesic.mathdoc.fr/item/TMF_1985_63_1_a8/