ON THE COLLECTIVE DESCRIPTION OF CLASSICAL PLASMAS.
Abstract
Collective coordinates are considered as a linear transformation of deviations from the unperturbed orbit. In general they are admixtures of particle coordinates and of particle momenta. On this basis a reformulation and generalization of the Bohm-Pines theory and a classical equivalent of Brout's method is introduced. The correspondence of the two treatments is demonstrated. The method developed is employed to establish a collective description of magnetostatic interaction. A Hamiltonian describing magnetic interaction in terms of particle variables is derived. This serves as a starting point. The Fourier transform of the momentum density appears as a collective coordinate. Subsequent canonical transformations lead to a collective fluid-like description, to an extended Hamiltonian with coupling and to dressed uncoupled collective variables. A new collective mode with two transverse polarizations emerges; it exhibits an unstable behaviour and prevails in the case of unisotropic velocity distribution only. In general it is coupled to the plasma oscillation mode. Finally the dielectric description of a system with unisotropic temperature-tensor is presented. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 01, 1964
- Accession Number
- AD0602410
Entities
People
- G. Kalman
Organizations
- University of Paris