TY - JOUR

T1 - Variational formulation of the Gardner's restacking algorithm

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

UR - http://www.scopus.com/inward/record.url?scp=20444394804&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=20444394804&partnerID=8YFLogxK

U2 - 10.1016/j.physleta.2005.04.078

DO - 10.1016/j.physleta.2005.04.078

M3 - Article

AN - SCOPUS:20444394804

VL - 341

SP - 187

EP - 192

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

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

SN - 0375-9601

IS - 1-4

ER -