MHD and Microinstabilities in Confined Plasma,

Linear MHD: Experimental and observational evidence for MHD instabilities. Introduction to MHD. The energy principle. Free surface modes in a cylindrical plasma. Gravitational (g) modes in slab geometry. Resistive g modes. The tearing mode. Internal MHD instabilities in cylindrical plasmas. Instabilities in a toroidal plasma. Part 2: Nonlinear MHD: Quasi-linear theory of MHD instabilities. Quasi-linear theory and simplified nonlinear theory of tearing modes. Steady state quasi-linear theory of resistive g modes. Island overlap and the onset of stochasticity. The Taylor-Woltjer theory of spontaneous field reversal and current limitation. Kadomtsev's theory of internal disruptions and introduction to numerical simulations. Part 3: Microinstabilities (trapped particle) and anomalous transport: Effects of transport on tokamak discharges. Drift waves in an inhomogeneous plasma. Drift wave destabilized by a small population of trapped electrons. Shear stabilization of drift-wave instabilities. A collection of formulae concerning the magnetic field and particle orbits in a torus. Vlasov theory of the trapped-electron response. Variational calculation of eigenfunctions and eigenvalues. Anomalous transport from trapped-particle instabilities. The marginal stability approach. Stabilization by mode coupling. Scaling laws for transport coefficients. Particle simulations. Appendices. Index.