Island bootstrap current modification of the nonlinear dynamics of the tearing mode

Journal Article · Tue Apr 01 00:00:00 EST 1986 · Phys. Fluids; (United States)

DOI:https://doi.org/10.1063/1.865682· OSTI ID:5933936

Carrera, R; Hazeltine, R D; Kotschenreuther, M

A kinetic theory for the nonlinear evolution of a magnetic island in a collisionless plasma confined in a toroidal magnetic system is presented. An asymptotic analysis of a Grad-Shafranov equation including neoclassical effects such as island bootstrap current defines an equation for the time dependence of the island width. Initially, the island bootstrap current strongly influences the island evolution. As the island surpasses a certain critical width the effect of the island bootstrap current diminishes and the island grows at the Rutherford rate. For current profiles such that ..delta..'<0 the island bootstrap current saturates the island.

• Research Organization: Institute for Fusion Studies, The University of Texas at Austin, Austin, Texas 78712-1068
• DOE Contract Number: FG05-80ET53088
• OSTI ID: 5933936
• Journal Information: Phys. Fluids; (United States), Vol. 29:4
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
COLLISIONLESS PLASMA
ELECTRIC CURRENTS
MAGNETIC ISLANDS
NONLINEAR PROBLEMS
TEARING INSTABILITY
ASYMPTOTIC SOLUTIONS
BOOTSTRAP MODEL
GRAD-SHAFRANOV EQUATION
HELICAL CONFIGURATION
KINETIC EQUATIONS
MODIFICATIONS
SATURATION
SYMMETRY
TEMPERATURE DEPENDENCE
TOKAMAK DEVICES
TOROIDAL CONFIGURATION
WIDTH
ANNULAR SPACE
CLOSED PLASMA DEVICES
COMPOSITE MODELS
CONFIGURATION
CURRENTS
DIFFERENTIAL EQUATIONS
DIMENSIONS
EQUATIONS
INSTABILITY
MAGNETIC FIELD CONFIGURATIONS
MATHEMATICAL MODELS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE MODELS
PLASMA
PLASMA INSTABILITY
PLASMA MACROINSTABILITIES
SPACE
THERMONUCLEAR DEVICES
700105* - Fusion Energy- Plasma Research- Plasma Kinetics-Theoretical- (-1987)
700107 - Fusion Energy- Plasma Research- Instabilities
700101 - Fusion Energy- Plasma Research- Confinement
Heating
&amp; Production