Variational formulation of the Gardner's restacking algorithm

Dodin, I.Y. ; Fisch, N.J.

Princeton University. Plasma Physics Laboratory.

关键词: Mapping;    Phase Space;    Magnetic Fields;    Transformations Hamiltonian;    Hamiltonian;   

DOI  :  10.2172/827920
RP-ID  :  PPPL-3946
RP-ID  :  AC02-76CH03073
RP-ID  :  827920

美国|英语

来源: UNT Digital Library

【 摘 要 】

The incompressibility of the phase flow of Hamiltonian wave-plasma interactions restrains the class of realizable wave-driven transformations of the particle distribution. After the interaction, the distribution remains composed of the original phase-space elements, or local densities, which are only rearranged (''restacked'') by the wave. A variational formalism is developed to study the corresponding limitations on the energy and momentum transfer. A case of particular interest is a toroidal plasma immersed in a dc magnetic field. The restacking algorithm by Gardner [Phys. Fluids 6, 839 (1963)] is formulated precisely. The minimum energy state for a plasma with a given current is determined