Accession Number:

AD0687070

Title:

A NEW REPRESENTATION FOR THE CONDUCTIVITY TENSOR OF A COLLISIONLESS PLASMA IN A MAGNETIC FIELD,

Descriptive Note:

Corporate Author:

CALIFORNIA UNIV LOS ANGELES PLASMA PHYSICS GROUP

Personal Author(s):

Report Date:

1969-03-01

Pagination or Media Count:

18.0

Abstract:

Conventional expressions for the conductivity tensor of a collisionless plasma in a uniform magnetic field involve infinite sums of Bessel function terms, each of which is associated with an harmonic of the cyclotron frequency. For many problems, it is much more convenient to have closed form expressions for these infinite sums. The paper shows that a suitable approach to the solution of the linearized Vlasov equation leads directly to such closed forms, thus eliminating the necessity for subsequent resumming. In addition to providing an economical derivation of results important for the case of a uniform plasma, this approach also facilitates the treatment of a plasma with a small density gradient. Author

Subject Categories:

  • Plasma Physics and Magnetohydrodynamics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE