A simple analytic model of the sausage mode in a resistive Z-pinch

Conference · Fri Dec 01 04:00:00 EST 1989 · AIP Conference Proceedings (American Institute of Physics); (USA)

OSTI ID:6357558

Lampe, M ^[1]

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1. Naval Research Laboratory, Washington, DC (USA)

A simple analytic linearized theory of the sausage mode is developed, based on resistive MHD, certain long-wavelength assumptions, and in particular the assumption that the perturbations of the radial density profile are self-similar. The perturbations to the magnetic field are not assumed to be self-similar. Time dependences of the equilibrium, e.g., current rising as {tau}{sup {alpha}}, ohmic heating, and time-varying radius, are included quite generally. The formalism appears to provide a good representation of those modes which lead to coherent sausaging of the entire radial cross section of the pinch, but excludes modes which are localized near a particular radius. The net effect of resistivity and time variation of the equilibrium is to decrease the instability growth rate (but by no more than a factor of two) if {alpha}{approx lt}1, or to increase it if {alpha}{approx gt}1.

• OSTI ID: 6357558
• Report Number(s): CONF-8904107--
• Conference Information: Journal Name: AIP Conference Proceedings (American Institute of Physics); (USA) Journal Volume: 195:1
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700101* -- Fusion Energy-- Plasma Research-- Confinement
Heating
& Production
700107 -- Fusion Energy-- Plasma Research-- Instabilities
DATA
ELECTRIC CONDUCTIVITY
ELECTRICAL PROPERTIES
EQUILIBRIUM
INFORMATION
INSTABILITY
KINK INSTABILITY
LINEAR PINCH DEVICES
LINEAR Z PINCH DEVICES
MAGNETIC FIELDS
MHD EQUILIBRIUM
NUMERICAL DATA
OPEN PLASMA DEVICES
PERTURBATION THEORY
PHYSICAL PROPERTIES
PINCH DEVICES
PINCH EFFECT
PLASMA INSTABILITY
PLASMA MACROINSTABILITIES
PLASMA SIMULATION
SAUSAGE INSTABILITY
SIMULATION
STABILITY
THEORETICAL DATA
THERMONUCLEAR DEVICES
VISCOSITY