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Kinetic theory of tearing instability

1975/12/01 by R. D. Hazeltine, D. Dobrott, T. S. Wang · 3 citations
Physics and Astronomy · #Magnetic confinement fusion research #Cold Atom Physics and Bose-Einstein Condensates #Atomic and Subatomic Physics Research

paper · pdf · doi:10.1063/1.861097

Abstract

The guiding-center kinetic equation with Fokker-Planck collision term is used to study, in cylindrical geometry, a class of dissipative instabilities of which the classical tearing mode is an archetype. Variational solution of the kinetic equation obviates the use of an approximate Ohm’s law or adiabatic assumption, as used in previous studies, and it provides a dispersive relation which is uniformly valid for any ratio of wave frequency to collision frequency. One result of using the rigorous collision operator is the prediction of a new instability. This instability, driven by the electron temperature gradient, is predicted to occur under the long mean-free path conditions of present tokamak experiments, and has significant features in common with the kink-like oscillations observed in such experiments.

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