ABSTRACT
This chapter considers the theory of kink modes in such plasma, having finished the theory of small-scale magnetohydrodynamic (MHD) modes in toroidal plasma. It explains an approach to describing the ideal kink modes in toroidal geometry. A peculiarity of the problem of kink modes in toroidal plasma is the fact that they are more sensitive to details of the geometry than the small-scale modes are. For this reason, it seems to be impossible to construct an analytical theory of kink modes in an arbitrary geometry. The chapter deals with the tokamak geometry. It considers the geometry of a helical column and stellarators with helical windings. The chapter presents the starting MHD equations in the geometry. It discusses the equations for the marginally stable modes, γ → 0. The same equations are a starting point for calculating the ideal asymptotic necessary for its subsequent matching with the inertial asymptotic or with the resistive asymptotic.
