Incorrectness of the usual gyrokinetic treatment in cylindrically symmetric systems

Technical Report · Tue Jul 01 00:00:00 EDT 1980

DOI:https://doi.org/10.2172/5205534· OSTI ID:5205534

Linsker, R

It is shown that the usual gyrokinetic theory does not consistently retain all terms of leading order in the expansion parameter epsilon = gyroradius/equilibrium scale length. This is illustrated for cylindrically symmetric systems by comparing the perturbed distribution function calculated by the gyrokinetic method with that obtained by explicitly integrating the Vlasov equation over the unperturbed orbit. The integral equation used in some recent treatments of drift waves in sheared-slab geometry is shown to be incorrect. The correct calculation of the ion density perturbation for a collisionless ..beta.. = 0 plasma with cylindrical symmetry is presented.

• Research Organization: Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
• DOE Contract Number: AM02-76CH03073
• OSTI ID: 5205534
• Report Number(s): PPPL-1682; TRN: 80-014470
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
COLLISIONLESS PLASMA
KINETIC EQUATIONS
BOLTZMANN-VLASOV EQUATION
CYCLOTRON FREQUENCY
CYLINDRICAL CONFIGURATION
DISTRIBUTION FUNCTIONS
ION DENSITY
CONFIGURATION
DIFFERENTIAL EQUATIONS
EQUATIONS
PLASMA
700105* - Fusion Energy- Plasma Research- Plasma Kinetics-Theoretical- (-1987)