Condensed Matter Physics, 2017, vol. 20, No. 2, 23001
DOI:10.5488/CMP.20.23001
arXiv:1706.07244
Title:
Generalization of the Grad method in plasma physics
Author(s):

V.N. Gorev
(Oles Honchar Dnipro National University, 72 Gagarin Ave., 49010 Dnipro, Ukraine)
,


A.I. Sokolovsky
(Oles Honchar Dnipro National University, 72 Gagarin Ave., 49010 Dnipro, Ukraine)

The Grad method is generalized based on the Bogolyubov idea of the functional hypothesis for states at the end of relaxation processes in a system. The Grad problem (i.e., description of the Maxwell relaxation)
for a completely ionized spatially uniform twocomponent electronion plasma is investigated using the Landau kinetic equation. The component distribution functions and time evolution equations for parameters describing
the state of a system are calculated, and corrections are obtained to the known results in a perturbation theory in a small electrontoion mass ratio.
Key words:
Maxwell relaxation, Grad method, generalized ChapmanEnskog method, completely ionized plasma, Sonine polynomials
PACS:
02.30.Rz, 05.20.Dd, 51.10.+y, 52.25.Dg
