Nonlinear interaction of tearing modes in an infinite-aspect-ratio tokamak
- Institut fuer Theoretische Physik, Heinrich-Heine-Universitaet Duesseldorf, Universitaetsstr. 1, D-40225 Duesseldorf (Germany)
The nonlinear interaction of tearing modes centered on different resonant surfaces in a low-{beta} tokamak is studied. Center manifold theory is applied to the reduced equations of resistive magnetohydrodynamics, including the electron energy equation. For the equilibrium current profile a polynomial parametrized by the values of shear and safety factor at several given radii is chosen. Amplitude equations describing the asymptotic time behavior of interacting modes are obtained. The coefficients of these equations depend on the mode numbers of the modes involved and on the parameters of the problem. They were calculated for the interaction of the (2,1)- and the (3,2)-tearing mode. The dependence of the corresponding solutions on equilibrium parameters and transport coefficients is investigated. {copyright} {ital 1996 American Institute of Physics.}
- OSTI ID:
- 278989
- Journal Information:
- Physics of Plasmas, Vol. 3, Issue 3; Other Information: PBD: Mar 1996
- Country of Publication:
- United States
- Language:
- English
Similar Records
Nonlinear interactions of tearing modes in the presence of shear flow
Magnetohydrodynamic studies of ideal and resistive tearing modes with equilibrium shear flow