Accession Number : AD0607196

Title :   TECHNIQUES FOR TREATING FULLY IONIZED TWOPARTICLE PLASMA EQUATIONS.

Descriptive Note : Scientific rept.,

Corporate Author : PENNSYLVANIA STATE UNIV UNIVERSITY PARK IONOSPHERE RESEARCH LAB

Personal Author(s) : Hartle,R. E.

Report Date : 01 JUN 1964

Pagination or Media Count : 68

Abstract : The purpose of this work was to develop analytical methods for treating the Boltzmann-Maxwell or associated continuum equations for fully ionized two-particle plasma equations and to demonstrate their uses through specific examples. The descriptive equations were treated exactly; that is, the usual linearization approximation was not made. A time series expansion method along with the method of partial summation was applied to the cold plasma equations. More specifically, the dependent variables were expanded in time power series and the coefficients were determined as functionals of the initial functions. Partial summation was applied to groups of terms in each expansion. The result was written in a convenient form comparable to that obtained by others and from which some plasma properties were obtained. Both the time series method and the method of characteristics were applied to the Boltzmann-Maxwell system. The general time series solution was demonstrated useful through application to a plasma in a uniform magnetic field. The method of characteristics was discussed in general and also applied to the problem of a plasma in a uniform magnetic field. (Author)

Descriptors :   (*PLASMAS(PHYSICS), CONTINUUM MECHANICS), (*PARTIAL DIFFERENTIAL EQUATIONS, NUMERICAL METHODS AND PROCEDURES), DYNAMICS, OSCILLATION, PLASMAS(PHYSICS), ELECTROMAGNETIC RADIATION, PROPAGATION, TIME, SERIES(MATHEMATICS), POWER SERIES, GAS IONIZATION, MAGNETIC FIELDS, CHARGED PARTICLES, DIPOLE MOMENTS, MAGNETIC STORMS, SCIENTIFIC RESEARCH, KINETIC THEORY

Distribution Statement : APPROVED FOR PUBLIC RELEASE