Variational formulation of the Gardner's restacking algorithm | Zendy

I. Y. Dodin | Zendy; N. J. Fisch | Zendy

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Variational formulation of the Gardner's restacking algorithm

Author(s) -

I. Y. Dodin,

N. J. Fisch

Publication year - 2004

Publication title -

osti oai (u.s. department of energy office of scientific and technical information)

Language(s) - English

Resource type - Reports

DOI - 10.2172/827920

Subject(s) - formalism (music) , hamiltonian (control theory) , physics , plasma , toroid , calculus of variations , phase space , magnetic field , classical mechanics , momentum transfer , algorithm , statistical physics , quantum mechanics , mathematics , mathematical optimization , art , musical , visual arts , scattering

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 determine

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