Collisionless sausage instability

Journal Article · Wed Mar 01 04:00:00 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), Journal Name: Phys Fluids B; (United States) Vol. 1:3; ISSN PFBPE
• Country of Publication: United States
• Language: English

Related Subjects

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