Nonlinear dynamics of them=1 instability and fast sawtooth collapse in high-temperature plasmas
- 15 March 1993
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 70 (11) , 1627-1630
- https://doi.org/10.1103/physrevlett.70.1627
Abstract
A theory is given for the nonlinear dynamical evolution of the m=1 instability, governed by a generalized Ohm’s law that includes the Hall term. An island equation is derived for the entire nonlinear evolution which includes an almost explosive growth phase followed by a rapid decay phase. The predictions of the theory are compared with recent numerical results and experiments.Keywords
This publication has 22 references indexed in Scilit:
- Nonlinear studies of m=1 modes in high-temperature plasmasPhysics of Fluids B: Plasma Physics, 1992
- Collisionless reconnection and the sawtooth crashPhysical Review Letters, 1991
- Collisionless m=1 tearing modePhysical Review Letters, 1991
- Magnetohydrodynamic modes driven by anomalous electron viscosity and their role in fast sawtooth crashesPhysics of Fluids B: Plasma Physics, 1990
- High-beta operation and magnetohydrodynamic activity on the TFTR tokamakPhysics of Fluids B: Plasma Physics, 1990
- Toroidal studies of sawtooth oscillations in tokamaksPhysics of Fluids B: Plasma Physics, 1989
- Hamiltonian four-field model for nonlinear tokamak dynamicsPhysics of Fluids, 1987
- Rapid Collapse of a Plasma Sawtooth Oscillation in the JET TokamakPhysical Review Letters, 1986
- Kinetic theory of m=1 internal instabilitiesPhysics of Fluids, 1978
- Sweet's mechanism for merging magnetic fields in conducting fluidsJournal of Geophysical Research, 1957