# Accession Number:

## AD0436232

# Title:

## RELAXATION TIME AND SOLUTION OF GUERNSEY-BALESCU EQUATION FOR HOMOGENEOUS PLASMAS,

# Descriptive Note:

# Corporate Author:

## NATIONAL RESEARCH COUNCIL OF CANADA OTTAWA (ONTARIO) DIV OF PURE PHYSICS

# Personal Author(s):

# Report Date:

## 1963-08-08

# Pagination or Media Count:

## 15.0

# Abstract:

The kinetic equation of Guernsey-Balescu for spatially homogeneous plasmas is solved as an initial value problem in the linearized approximation. The distribution functions for the electrons and the positive ions are expanded in series of associated Laguerre polynomials in the momentum, with coefficients which are functions of the time. The solution of the infinite systems of linear equations for these coefficients leads to the spectrum of relaxation times. Numerical results are given for a few finite numbers of terms in the expansions of. The results of the present calculation and the question of the appropriateness, in the case of ionized gases, of the use of the Bogoliubov initial condition and functional Ansatz in the formulation of a theory of irreversible processes are discussed. Author