Collisionless sausage instability

Journal Article · Wed Mar 01 00:00:00 EST 1989 · Phys Fluids B; (United States)

DOI:https://doi.org/10.1063/1.859119· OSTI ID:6433048

Coppins, M

The Chew--Goldberger--Low (CGL) double adiabatic model (Proc. R. Soc. London Ser. A 236, 112 (1956)) is used to study the linear m = 0 (sausage) mode in a Z pinch operating in the collisionless, small ion Larmor radius regime. The model is valid in this case since the parallel heat flow is identically zero. A necessary and sufficient condition for stability, applicable to arbitrary (anisotropic) Z-pinch equilibria, is derived and the eigenvalue equation is solved for two classes of isotropic equilibria. Growth rates are shown to be lower than those of ideal magnetohydrodynamics (MHD). It is found that, in contrast to ideal MHD, the CGL eigenfunctions are characterized by an unperturbed inner region.

• Research Organization: The Blackett Laboratory, Imperial College of Science and Technology, London SW7 2BZ, United Kingdom
• OSTI ID: 6433048
• Journal Information: Phys Fluids B; (United States), Vol. 1:3
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
COLLISIONLESS PLASMA
LARMOR RADIUS
SAUSAGE INSTABILITY
ADIABATIC PROCESSES
EIGENFUNCTIONS
INSTABILITY GROWTH RATES
PINCH DEVICES
PLASMA SIMULATION
STABILITY
USES
FUNCTIONS
INSTABILITY
PLASMA
PLASMA INSTABILITY
PLASMA MACROINSTABILITIES
SIMULATION
THERMONUCLEAR DEVICES
700107* - Fusion Energy- Plasma Research- Instabilities