Vlasov Fluid stability of a 2-D plasma with a linear magnetic field null
Vlasov Fluid stability of a 2-dimensional plasma near an O type magnetic null is investigated. Specifically, an elongated Z-pinch is considered, and applied to Field Reversed Configurations at Los Alamos National Laboratory by making a cylindrical approximation of the compact torus. The orbits near an elliptical O type null are found to be very complicated; the orbits are large and some are stochastic. The kinetic corrections to magnetohydrodynamics (MHD) are investigated by evaluating the expectation values of the growth rates of a Vlasov Fluid dispersion functional by using a set of trial functions based on ideal MHD. The dispersion functional involves fluid parts and orbit dependent parts. The latter involves phase integral of two time correlations. The phase integral is replaced by the time integral both for the regular and for the stochastic orbits. Two trial functions are used; one has a large displacement near the null and the other away from the null.
- Research Organization:
- Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
- DOE Contract Number:
- AC03-76SF00098
- OSTI ID:
- 5202035
- Report Number(s):
- LBL-17123; ON: DE84006630
- Resource Relation:
- Other Information: Thesis
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
PLASMA
BOLTZMANN-VLASOV EQUATION
DISPERSION RELATIONS
INSTABILITY GROWTH RATES
MAGNETIC FIELD CONFIGURATIONS
PLASMA INSTABILITY
TWO-DIMENSIONAL CALCULATIONS
DIFFERENTIAL EQUATIONS
EQUATIONS
INSTABILITY
PARTIAL DIFFERENTIAL EQUATIONS
700105* - Fusion Energy- Plasma Research- Plasma Kinetics-Theoretical- (-1987)