Stability analysis of dynamic Z pinches and theta pinches

Journal Article · Wed Mar 01 04:00:00 EST 1989 · Phys Fluids B; (United States)

DOI:https://doi.org/10.1063/1.859207· OSTI ID:6526772

Bud'ko, A B; Felber, F S; Kleev, A I; Liberman, M A; Velikovich, A L

The stability of diffuse, dynamic Z pinches and theta pinches is analyzed. Spectra of the growth rates of hydromagnetic instabilities of dynamic pinches are calculated. The acceleration of plasma pinches during compression and expansion strongly modifies the growth of bulk instabilities. Also, even a relatively weak axial magnetic field substantially suppresses instabilities in Z pinches, in agreement with recent experiments. The initial axial field B/sub z//sub //sub 0/ needed for a stable implosion of a pinch of initial radius R/sub 0/ and average current I-bar is B/sub z//sub //sub 0/ approx. >(10--30 kG) I-bar (MA)/R/sub 0/(cm). The approximate analytic solutions of the linearized equations are shown to agree well with the exact numerical solutions. The stability analysis demonstrated here for dynamic pinches is broadly applicable to the stability of dynamic plasmas in general.

• Research Organization: Institute for Physical Problems, ul. Kosygina, 2, Moscow 117334, USSR
• OSTI ID: 6526772
• 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
ACCELERATION
ANALYTICAL SOLUTION
COMPRESSION
CORRELATIONS
EXPANSION
HYDROMAGNETIC WAVES
IMPLOSIONS
INSTABILITY
INSTABILITY GROWTH RATES
LINEAR PINCH DEVICES
LINEAR Z PINCH DEVICES
MAGNETIC FIELDS
OPEN PLASMA DEVICES
PINCH DEVICES
PINCH EFFECT
PLASMA
PLASMA INSTABILITY
STABILITY
THERMONUCLEAR DEVICES
THETA PINCH