Instabilities in a Confined Plasma

Instabilities in a Confined Plasma is entirely devoted to a theoretical exposition of the subject of plasma instabilities in confined systems. The book is an important contribution to the study of plasma instabilities, not only in fusion devices such as the Tokamak but also in astrophysical phenomena. It covers toroidal confinement systems, internal MHD modes, small-scale MHD instabilities, MHD internal kink modes, MHD modes in collisionless and neoclassical regimes, drift-MHD modes, external kink modes, and Alfven eigenmodes.
Table of Contents

EQUILIBRIUM OF A PLASMA IN TOROIDAL CONFINEMENT SYSTEMS
General results of equilibrium theory
Equilibrium of a plasma in axisymmetric systems
Equilibrium of a plasma in systems without axial symmetry

INTERNAL MHD MODES IN THE CYLINDRICAL APPROXIMATION
Description of MHD perturbations in a cylindrical plasma
Ideal MHD internal modes
Resistive MHD modes in a cylindrical plasma

SMALL-SCALE MHD INSTABILITIES IN TOROIDAL CONFINEMENT SYSTEMS
Description of marginally-stable small-scale ideal perturbations
Small-scale MHD stability of a plasma in tokamaks
Small-scale MHD stability of a plasma in complex magnetic systems
Growth rates of ideal small-scale modes
Resistive small-scale MHD modes in a toroidal geometry

MHD INTERNAL KINK MODES IN TOROIDAL GEOMETRY
Description of ideal kink modes in toroidal geometry
Ideal internal kink modes in toroidal confinement systems with low- and finite-pressure plasma
Ideal internal kink modes in toroidal systems with high-pressure plasma
Resistive internal kink modes in toroidal systems

MHD MODES IN COLLISIONLESS AND NEOCLASSICAL REGIMES
Description of equilibrium and perturbations in collisionless and neoclassical plasmas
Effects of plasma pressure anisotropy on MHD stability
Effect of trapped particles on MHD stability
Description of longitudinal viscosity in the MHD modes
MHD modes in a viscous plasma

DRIFT-MHD MODES
Ideal drift-MHD modes
Resistive drift-MHD modes
Neoclassical resistive drift-MHD modes
Semicollisional drift-MHD modes
Interaction of energetic trapped particles with MHD modes

EXTERNAL KINK MODES
Ideal external kink modes
Resistive-wall mode instability
Stabilization of resistive-wall mode instability in a tokamak with rotating plasma

ALFVEN EIGENMODES AND THEIR INTERACTION WITH ENERGETIC PARTICLES
Toroidicity-induced Alfven eigenmodes
Kinetic toroidicity-induced Alfven eigenmodes
Interaction of energetic particles with TAE modes and KTAE modes.