ABSTRACT
This chapter analyses the self-stabilization effect in the case of the m = 1 mode and both the above-mentioned effects in the modes with m > 1. It discusses the case of the tokamak geometry, briefly considers a helical column, and presents the starting equations for kink modes in the tokamak geometry allowing for the effects of a high plasma pressure. The chapter aims to study the m = n = 1 mode in a tokamak with a high-pressure plasma. It shows that for large βp the equation for the main harmonic of these modes, as also for m = 1 mode, proves to be non-local owing to the so-called non-local ballooning effects. The chapter examines the role of non-local ballooning effects in the higher kink modes. The spatial structure of the m = 1 internal kink mode in a toroidal high-pressure plasma ceases to be of step-function form.
