Variational formulation of the Gardner's restacking algorithm

I. Y. Dodin; N. J. Fisch

doi:10.1016/j.physleta.2005.04.078

Variational formulation of the Gardner's restacking algorithm

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Abstract

The incompressibility of the phase flow of Hamiltonian wave-plasma interactions restricts 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 (1963) 839] is formulated precisely. The minimum energy state for a plasma with a given current is determined.

Original language	English (US)
Pages (from-to)	187-192
Number of pages	6
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	341
Issue number	1-4
DOIs	https://doi.org/10.1016/j.physleta.2005.04.078
State	Published - Jun 20 2005

All Science Journal Classification (ASJC) codes

General Physics and Astronomy

Keywords

Distribution function
Phase-space restacking
Wave-plasma interaction

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10.1016/j.physleta.2005.04.078

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title = "Variational formulation of the Gardner's restacking algorithm",

abstract = "The incompressibility of the phase flow of Hamiltonian wave-plasma interactions restricts 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 (1963) 839] is formulated precisely. The minimum energy state for a plasma with a given current is determined.",

keywords = "Distribution function, Phase-space restacking, Wave-plasma interaction",

author = "Dodin, \{I. Y.\} and Fisch, \{N. J.\}",

note = "Funding Information: The work is supported by DOE contract DE-AC0276-CHO3073.",

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doi = "10.1016/j.physleta.2005.04.078",

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AU - Dodin, I. Y.

AU - Fisch, N. J.

N1 - Funding Information: The work is supported by DOE contract DE-AC0276-CHO3073.

PY - 2005/6/20

Y1 - 2005/6/20

N2 - The incompressibility of the phase flow of Hamiltonian wave-plasma interactions restricts 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 (1963) 839] is formulated precisely. The minimum energy state for a plasma with a given current is determined.

AB - The incompressibility of the phase flow of Hamiltonian wave-plasma interactions restricts 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 (1963) 839] is formulated precisely. The minimum energy state for a plasma with a given current is determined.

KW - Distribution function

KW - Phase-space restacking

KW - Wave-plasma interaction

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JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 1-4

ER -

Variational formulation of the Gardner's restacking algorithm

Abstract

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