Автор |
O K Cheremhykh |
Автор |
S M Revenchuk |
Дата выпуска |
1992-01-01 |
dc.description |
It is shown that three problems, namely the Suydam problem of the stabilization of a plasma placed in a gravitational field with shear the problem of Tokamak plasma stability concerning flute-mode perturbations, and the problem of dispersion of global Alfven modes with large poloidal wavenumbers, are described in a mathematical sense by the same Schrodinger equation. The energy spectrum of this equation is analyzed by using different asymptotic methods (the quasi-classical approximation, the perturbation method, and asymptotic matching of solutions). The results of these methods are in a good agreement. The analytical expressions obtained allow the authors to specify some well-known formulae and give a number of new expressions for the growth rates of the instabilities under consideration and the global Alfven-mode spectrum. |
Формат |
application.pdf |
Издатель |
Institute of Physics Publishing |
Название |
Dispersion relations for the Suydam problem |
Тип |
paper |
DOI |
10.1088/0741-3335/34/1/004 |
Electronic ISSN |
1361-6587 |
Print ISSN |
0741-3335 |
Журнал |
Plasma Physics and Controlled Fusion |
Том |
34 |
Первая страница |
55 |
Последняя страница |
75 |
Аффилиация |
O K Cheremhykh; Inst. for Nucl. Res., Acad. of Sci., Kiev, Ukrainian SSR, USSR |
Аффилиация |
S M Revenchuk; Inst. for Nucl. Res., Acad. of Sci., Kiev, Ukrainian SSR, USSR |
Выпуск |
1 |