Neoclassical quasilinear transport theory of fluctuations in toroidal plasmas: Further considerations

Journal Article · Sun Apr 01 00:00:00 EST 1990 · Physics of Fluids B; (USA)

DOI:https://doi.org/10.1063/1.859576· OSTI ID:6962950

Shaing, K C ^[1]

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1. Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831 (USA)

The effects of the radial electric field {ital E}{sub {ital r}} on fluctuation-induced transport fluxes and the fluctuation spectrum in toroidal plasmas are further studied to clarify the ideas originally developed in an earlier paper (Phys. Fluids {bold 31}, 2249 (1988)). A specific tokamak example is employed in the discussion. It is found that even in the presence of fluctuations, the parallel flow in tokamaks is damped by the neoclassical viscosity on a time scale of the order of {nu}{sub {ital ii}}{sup {minus}1}, with {nu}{sub {ital ii}} the collision frequency. The toroidal flow is damped by the anomalous ion viscosity on a time scale of the order of the confinement time. The radial electric field always has an effect on the fluctuation spectrum and fluctuation-induced transport fluxes in tokamaks except when {ital d}({ital E}{sub {ital r}}q/{ital r})/{ital dr}=0 (where {ital q} is the safety factor and {ital r} is the minor radius) if the radial dependence of the toroidal magnetic field is neglected by considering the invariant property of the drift kinetic equation when there is a change in {ital E}{sub {ital r}}. The condition implies the rigid-body toroidal rotation associated with {bold E}{times}{bold B} drift, with {bold E} ({bold B}) the electric (magnetic) field. The fact that the fluctuation-induced transport fluxes can depend on {ital E}{sub {ital r}} through the fluctuation spectrum and the thermodynamic force does not contradict their intrinsic ambipolarity property. The results are shown to be invariant under Galilean transformation.

• DOE Contract Number: AC05-84OR21400
• OSTI ID: 6962950
• Journal Information: Physics of Fluids B; (USA), Vol. 2:4; ISSN 0899-8221
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
PLASMA
FLUCTUATIONS
TOKAMAK DEVICES
PLASMA CONFINEMENT
DAMPING
DISTRIBUTION FUNCTIONS
ELECTRIC FIELDS
GALILEI TRANSFORMATIONS
INVARIANCE PRINCIPLES
KINETIC EQUATIONS
MASS TRANSFER
ROTATING PLASMA
THERMODYNAMICS
TIMING PROPERTIES
TOROIDAL CONFIGURATION
VELOCITY
VISCOSITY
ANNULAR SPACE
CLOSED CONFIGURATIONS
CLOSED PLASMA DEVICES
CONFIGURATION
CONFINEMENT
EQUATIONS
FUNCTIONS
MAGNETIC FIELD CONFIGURATIONS
SPACE
THERMONUCLEAR DEVICES
TRANSFORMATIONS
VARIATIONS
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