Unified theory of tokamak transport via the generalized Balescu--Lenard collision operator

Journal Article · Sat Apr 01 04:00:00 EST 1989 · Phys Fluids B; (United States)

DOI:https://doi.org/10.1063/1.859140· OSTI ID:6202085

Mynick, H E; Duvall, R E

A unified basis from which to study the transport of tokamaks at low collisionality is provided by specializing the ''generalized Balescu--Lenard'' collision operator to toroidal geometry. Explicitly evaluating this operator, ripple, turbulent, and neoclassical transport coefficients are obtained, simply by further specializing the single operator to different particular classes of fluctuation wavelength and mode structure. For each class of fluctuations, the operator possesses a diffusive, test-particle contribution D, and in addition a dynamic drag term F, which makes the operator self-consistent, and whose presence is accordingly essential for the resultant fluxes to possess the appropriate conservation laws and symmetries. These properties, well known for axisymmetric transport, are demonstrated for one type of turbulent transport, chosen for definiteness, by explicit evaluation of both the ''anomalous diffusion'' term arising from D, as well as the closely related ''anomalous pinch'' term coming from F. The latter term is neglected by test-particle calculations, but is shown to have an important impact on the predicted fluxes.

• Research Organization: Plasma Physics Laboratory, Princeton University, P. O. Box 451, Princeton, New Jersey 08543-0451
• OSTI ID: 6202085
• Journal Information: Phys Fluids B; (United States), Journal Name: Phys Fluids B; (United States) Vol. 1:4; ISSN PFBPE
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700103* -- Fusion Energy-- Plasma Research-- Kinetics
CLOSED PLASMA DEVICES
COLLISIONAL PLASMA
ELECTRIC CONDUCTIVITY
ELECTRICAL PROPERTIES
FLUCTUATIONS
MATHEMATICAL OPERATORS
PHYSICAL PROPERTIES
PLASMA
THERMONUCLEAR DEVICES
TOKAMAK DEVICES
TRANSPORT THEORY
VARIATIONS