Vlasov fluid stability of the m =0 mode in a skin current Z pinch

Journal Article · Tue Oct 31 23:00:00 EST 1989 · Physics of Fluids B: Plasma Physics; (USA)

DOI:https://doi.org/10.1063/1.859045· OSTI ID:5282102

Arber, T D; Coppins, M ^[1]

---

1. Blackett Laboratory, Imperial College, London SW7, United Kingdom (GB)

The {ital m}=0 stability of a Z pinch confined by a skin current has been studied using the Vlasov fluid model. A significant reduction in growth rate compared to ideal magnetohydrodynamics (MHD) is found. An exact analytic solution can be obtained at large {ital ka} ({ital k} is the axial wavenumber and {ital a} is the pinch radius). In this limit the Vlasov fluid growth rate (normalized to the radial ion thermal transit time) saturates to the value 0.5 ({pi}){sup 1/2}, in contrast to the ideal MHD growth rate, which increases without limit as ({ital k}){sup 1/2}.

• OSTI ID: 5282102
• Journal Information: Physics of Fluids B: Plasma Physics; (USA), Journal Name: Physics of Fluids B: Plasma Physics; (USA) Vol. 1:11; ISSN 0899-8221; ISSN PFBPE
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700107* -- Fusion Energy-- Plasma Research-- Instabilities
BOLTZMANN-VLASOV EQUATION
COLLISIONLESS PLASMA
DIFFERENTIAL EQUATIONS
EQUATIONS
INHIBITION
INSTABILITY GROWTH RATES
LARMOR RADIUS
LINEAR PINCH DEVICES
LINEAR Z PINCH DEVICES
OPEN PLASMA DEVICES
OSCILLATION MODES
PARTIAL DIFFERENTIAL EQUATIONS
PINCH DEVICES
PLASMA
SKIN EFFECT
STABILITY
THERMONUCLEAR DEVICES