Variational formulation of the Gardner's restacking algorithm

Technical Report · Mon Apr 26 00:00:00 EDT 2004

DOI:https://doi.org/10.2172/827920· OSTI ID:827920

Dodin, I Y; Fisch, N J

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

• Research Organization: Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
• Sponsoring Organization: USDOE Office of Science (SC) (US)
• DOE Contract Number: AC02-76CH03073
• OSTI ID: 827920
• Report Number(s): PPPL-3946; TRN: US0403734
• Resource Relation: Other Information: PBD: 26 Apr 2004
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
ALGORITHMS
DISTRIBUTION
HAMILTONIANS
MAGNETIC FIELDS
MOMENTUM TRANSFER
PHASE SPACE
PLASMA
TRANSFORMATIONS
HAMILTONIAN
MAPPING
MATHEMATICAL PHYSICS