ABSTRACT

The dispersion relations for resistive modes in toroidal geometry are found by matching the ideal and resistive asymptotics of the perturbed radial plasma displacement. The ideal asymptotic has been obtained by means of the averaged ballooning equation in the ideal region. This chapter explores the two new effects in the resistive averaged ballooning equation of toroidal plasma compared with the case of cylindrical plasma. The first effect is renormalization of inertia contribution due to the oscillating compressibility. This effect is independent of resistivity. The second effect is related to renormalization of effective magnetic well, that is of the resultant contribution of the usual magnetic well and ballooning effects in the averaged ballooning equation. Such a renormalization depends on the ballooning variable. In the case of cylindrical geometry the magnetic-field curvature effects are described by a single parameter, in the case of toroidal geometry they are defined by two parameters. The chapter analyses the resistive–interchange modes in toroidal geometry.