Thermal equilibrium properties of nonneutral plasma in the weak coupling approximation

Conference · Mon Aug 01 00:00:00 EDT 1994 · AIP Conference Proceedings (American Institute of Physics); (United States)

OSTI ID:7060013

Davidson, R C; Lund, S M ^[1]

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1. Princeton Plasma Physics Laboratory, Princeton University, Princeton, New Jersey 08543 (United States)

Closed analytical expressions are derived for the mean-square radius [l angle][ital r][sup 2][r angle][sub [ital eq]] of the plasma column and the angular rotation velocity [omega][sub [ital r]], expressed in terms of the nonlinear conservation constraints, [ital N][sub [ital e]]=[integral][ital d][sup 2][ital x][integral][ital d][sup 3][ital p] [ital P][theta][ital f][sub [ital e]]([ital x], [ital p], [ital t])=[ital const]. and [l angle][ital P][sub [theta]][r angle]=[ital N][sub e][sup [minus]1][integral]d[sup 2][ital x][integral]d[sup 3][ital p] [ital P][sub [theta]][ital f][sub [ital e]]([ital x],[ital p],[ital t])=[ital const].[ital ,] which correspond to the total number of electrons per unit axial length and the total canonical angular momentum per unit axial length, respectively. Finally, an exact power-series solution is derived for the thermal equilibrium density profile [ital n][ital ]/[ital deq]([ital r]) as a function of the radial distance [ital r] from the axis of the plasma column.

• OSTI ID: 7060013
• Report Number(s): CONF-9205408--
• Journal Information: AIP Conference Proceedings (American Institute of Physics); (United States), Journal Name: AIP Conference Proceedings (American Institute of Physics); (United States) Vol. 314:1; ISSN 0094-243X; ISSN APCPCS
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700330* -- Plasma Kinetics
Transport
& Impurities-- (1992-)
ANALYTICAL SOLUTION
CONFIGURATION
CYLINDRICAL CONFIGURATION
ELECTRON DENSITY
ELECTRON TEMPERATURE
EQUILIBRIUM
MAGNETIC FIELDS
MATHEMATICAL MODELS
NUCLEAR MODELS
PLASMA SIMULATION
SERIES EXPANSION
SIMULATION
THERMAL EQUILIBRIUM
WEAK-COUPLING MODEL