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
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U2 - 10.1016/j.physleta.2005.04.078
DO - 10.1016/j.physleta.2005.04.078
M3 - Article
AN - SCOPUS:20444394804
SN - 0375-9601
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
IS - 1-4
ER -