Extension of geodesic acoustic mode theory to helical systems | Zendy

T. Watari | Zendy; Y. Hamada | Zendy; A. Fujisawa | Zendy; K. Toi | Zendy; K. Itoh | Zendy

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Extension of geodesic acoustic mode theory to helical systems

Author(s) -

T. Watari,

Y. Hamada,

A. Fujisawa,

K. Toi,

K. Itoh

Publication year - 2005

Publication title -

physics of plasmas

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.75

H-Index - 160

eISSN - 1089-7674

pISSN - 1070-664X

DOI - 10.1063/1.1922807

Subject(s) - physics , dispersion relation , tokamak , oscillation (cell signaling) , geodesic , helicity , quantum electrodynamics , landau damping , magnetic field , magnetic flux , electron , classical mechanics , plasma , computational physics , mathematical analysis , quantum mechanics , genetics , mathematics , biology

The present paper extends the theory of geodesic acoustic mode (GAM) oscillation, which so far has been applied to tokamaks, to helical systems. By using drift kinetic equations for three-dimensional equilibriums, a generalized dispersion relation is obtained including Landau damping. The oscillation frequency is obtained in terms of the squared sum of Fourier components of the magnetic field intensity expressed by means of magnetic flux coordinates. An analytic form of the collisionless damping rate of GAM is obtained by solving the dispersion relation perturbatively. It is found that the GAM frequency is higher in helical systems than in tokamaks and that damping rate is enhanced in multi-helicity magnetic configurations. However, damping rates are predicted to be small if the temperature of electrons is higher than that of ions

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