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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 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

Authors:
;
Publication Date:
Research Org.:
Princeton Plasma Physics Lab., Princeton, NJ (US)
Sponsoring Org.:
USDOE Office of Science (SC) (US)
OSTI Identifier:
827920
Report Number(s):
PPPL-3946
TRN: US0403734
DOE Contract Number:  
AC02-76CH03073
Resource Type:
Technical Report
Resource Relation:
Other Information: PBD: 26 Apr 2004
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; ALGORITHMS; DISTRIBUTION; HAMILTONIANS; MAGNETIC FIELDS; MOMENTUM TRANSFER; PHASE SPACE; PLASMA; TRANSFORMATIONS; HAMILTONIAN; MAPPING; MATHEMATICAL PHYSICS

Citation Formats

I.Y. Dodin, and N.J. Fisch. Variational formulation of the Gardner's restacking algorithm. United States: N. p., 2004. Web. doi:10.2172/827920.
I.Y. Dodin, & N.J. Fisch. Variational formulation of the Gardner's restacking algorithm. United States. doi:10.2172/827920.
I.Y. Dodin, and N.J. Fisch. Mon . "Variational formulation of the Gardner's restacking algorithm". United States. doi:10.2172/827920. https://www.osti.gov/servlets/purl/827920.
@article{osti_827920,
title = {Variational formulation of the Gardner's restacking algorithm},
author = {I.Y. Dodin and N.J. Fisch},
abstractNote = {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},
doi = {10.2172/827920},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Mon Apr 26 00:00:00 EDT 2004},
month = {Mon Apr 26 00:00:00 EDT 2004}
}

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