Influence of higher order toroidicity on coupling of tearing modes

Abstract

The general dispersion relation for toroidally coupled tearing mode including pressure and other O(2) order corrections is naturally derived based on the structure of ideal magnetohydrodynamic solutions in the outer region. It is found that the inclusion of the O(2) order terms in the diagonal element of E-matrix does not change physical properties of the toroidally coupled tearing mode and only make negligible contribution to the magnitude of growth rate.