Banana regime pressure anisotropy in a bumpy cylinder magnetic field

Journal Article · Sun Jan 15 00:00:00 EST 2006 · Physics of Plasmas

DOI:https://doi.org/10.1063/1.2159168· OSTI ID:20782451

Garcia-Perciante, A L; Callen, J D; Shaing, K C; Hegna, C C ^[1]

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1. University of Wisconsin-Madison, Madison, Wisconsin 53706-1609 (United States)

The pressure anisotropy is calculated for a plasma in a bumpy cylindrical magnetic field in the low collisionality (banana) regime for small magnetic-field modulations ({epsilon}{identical_to}{delta}B/2B<<1). Solutions are obtained by integrating the drift-kinetic equation along field lines in steady state. A closure for the local value of the parallel viscous force B{center_dot}{nabla}{center_dot}{pi}{sub parallel} is then calculated and is shown to exceed the flux-surface-averaged parallel viscous force <B{center_dot}{nabla}{center_dot}{pi}{sub parallel}> by a factor of O(1/{epsilon}). A high-frequency limit ({omega}>>{nu}) for the pressure anisotropy is also determined and the calculation is then extended to include the full frequency dependence by using an expansion in Cordey eigenfunctions.

• OSTI ID: 20782451
• Journal Information: Physics of Plasmas, Vol. 13, Issue 1; Other Information: DOI: 10.1063/1.2159168; (c) 2006 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 1070-664X
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
ANISOTROPY
BANANA REGIME
CYLINDRICAL CONFIGURATION
EIGENFUNCTIONS
EIGENVALUES
ELECTRON COLLISIONS
FREQUENCY DEPENDENCE
ION COLLISIONS
KINETIC EQUATIONS
MAGNETIC FIELDS
MAGNETIC SURFACES
MATHEMATICAL SOLUTIONS
MODULATION
PLASMA
PLASMA CONFINEMENT
PLASMA PRESSURE
STEADY-STATE CONDITIONS