Stability of tearing modes in tokamak plasmas | Zendy

C. C. Hegna | Zendy; J. D. Callen | Zendy

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Stability of tearing modes in tokamak plasmas

Author(s) -

C. C. Hegna,

J. D. Callen

Publication year - 1994

Publication title -

osti oai (u.s. department of energy office of scientific and technical information)

Language(s) - English

Resource type - Reports

DOI - 10.2172/143978

Subject(s) - tokamak , tearing , toroid , instability , physics , beta (programming language) , nonlinear system , plasma , boundary value problem , coupling (piping) , simple (philosophy) , mathematical analysis , mathematics , mechanics , quantum mechanics , thermodynamics , materials science , computer science , metallurgy , programming language , philosophy , epistemology

The stability properties of m {ge} 2 tearing instabilities in tokamak plasmas are analyzed. A boundary layer theory is used to find asymptotic solutions to the ideal external kink equation which are used to obtain a simple analytic expression for the tearing instability parameter {Delta}{prime}. This calculation generalizes previous work on this topic by considering more general toroidal equilibria (however, toroidal coupling effects are ignored). Constructions of {Delta}{prime} are obtained for plasmas with finite beta and for islands that have nonzero width. A simple heuristic estimate is given for the value of the saturated island width when the instability criterion is violated. A connection is made between the calculation of the asymptotic matching parameter in the finite beta and island width case to the nonlinear analog of the Glasser effect

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