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Variational Formulation of the Gardner's Restacking Algorithm.

DE2004827920

Publication Date	2004
Personal Author	Dodin, I. Y.; Fisch, N. J.
Page Count	16
Abstract	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 is formulated precisely. The minimum energy state for a plasma with a given current is determined.
Keywords	Plasma density Algorithms Interactions Hamiltonian waves Magnetic fields Direct current Transformations Momentum transfer
Source Agency	Technical Information Center Oak Ridge Tennessee
Corporate Authors	Princeton Univ., NJ. Plasma Physics Lab.; Department of Energy, Washington, DC.
Supplemental Notes	Sponsored by Department of Energy, Washington, DC.
Document Type	Technical Report
NTIS Issue Number	200509

Variational Formulation of the Gardner's Restacking Algorithm.

Variational Formulation of the Gardner's Restacking Algorithm.
DE2004827920

Publication Date	2004
Personal Author	Dodin, I. Y.; Fisch, N. J.
Page Count	16
Abstract	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 is formulated precisely. The minimum energy state for a plasma with a given current is determined.
Keywords	Plasma density Algorithms Interactions Hamiltonian waves Magnetic fields Direct current Transformations Momentum transfer
Source Agency	Technical Information Center Oak Ridge Tennessee
Corporate Authors	Princeton Univ., NJ. Plasma Physics Lab.; Department of Energy, Washington, DC.
Supplemental Notes	Sponsored by Department of Energy, Washington, DC.
Document Type	Technical Report
NTIS Issue Number	200509