The Theory of Toroidally Confined Plasmas

The following sections are included:

• Preface

• Preface to the First Edition

• Acknowledgement

• Contents

The following sections are included:

• INTRODUCTION

• GENERAL COORDINATES

• BASIS VECTORS, METRIC TENSOR

• VECTOR OPERATORS

• MAGNETIC FIELD REPRESENTATION

• MAGNETIC SURFACES

• MAGNETIC SURFACE DESTRUCTION

• THE STANDARD MAP

• Problems

• References

The following sections are included:

• INTRODUCTION

• THE VIRIAL THEOREM

• FIELD LINE CURVATURE

• GENERAL 3-D EQUILIBRIA

• AXISYMMETRIC EQUILIBRIA

• TOKAMAK ORDERING

• CYLINDRICAL TOKAMAK EQUILIBRIA

• THE SHAFRANOV EQUILIBRIUM

• HIGH BETA EQUILIBRIUM

• FLUX CONSERVING EQUILIBRIA

• EQUILIBRIUM SCALING

• EQUILIBRIUM TYPES

• Problems

• References

The following sections are included:

• INTRODUCTION

• HAMILTONIAN FORMULATION

• ORBIT CLASSIFICATION

• INTEGRAL INVARIANTS

• TOROIDAL PRECESSION

• LARGE ASPECT RATIO

• DIAMAGNETIC CURRENT

• CONFINEMENT OF FUSION ALPHA PARTICLES

• Problems

• References

The following sections are included:

• INTRODUCTION

• PLASMA KINETIC AND POTENTIAL ENERGY

• SELF ADJOINTNESS OF THE POTENTIAL ENERGY

• THE ENERGY PRINCIPLE

• CONVENIENT FORM FOR δW

• THE ENERGY PRINCIPLE IN CYLINDRICAL GEOMETRY

• MHD INSTABILITIES IN LOW β TOKAMAKS

• KINK MODE

• THE M = 1 EXTERNAL KINK

• THE INTERNAL KINK MODE

• BALLOONING INSTABILITIES

• MAGNETIC WELL

• BALLOONING, SIMPLE EQUILIBRIA

• MERCIER, SUYDAM CRITERIA

• MODIFICATION OF THE BALLOONING EQUATION

• TAE MODES

• AXISYMMETRIC MODES

• NUMERICAL MHD SPECTRUM

• SHAPE AND ASPECT RATIO

• Problems

• References

The following sections are included:

• INTRODUCTION

• THE TEARING MODE

• THE m = 1 TEARING MODE

• THE SKIN CURRENT PROFILE

• TOROIDAL AND SHAPING EFFECTS

• THE RESISTIVE SURFACE KINK MODE

• OPTIMIZED PROFILES

• THE RIPPLING MODE

• THE RESISTIVE INTERCHANGE MODE

• RESISTIVE BALLOONING

• DIAMAGNETIC ROTATION

• Problems

• References

The following sections are included:

• INTRODUCTION

• THE REDUCED EQUATIONS

• NONLINEAR EXTERNAL KINK

• VACUUM BUBBLES

• NONLINEAR INTERNAL KINK

• COMPLETE RESISTIVE RECONNECTION

• NONLINEAR TEARING MODE ANALYSIS

• SAWTOOTH OSCILLATIONS

• DISRUPTIONS

• EMPIRICAL LIMITS

• STABILIZATION OF TEARING MODES

• Problems

• References

The following sections are included:

• INTRODUCTION

• PASSING PARTICLE RESONANCE

• TAE MODE DRIVE AND SATURATION

• TRAPPED PARTICLE RESONANCE

• FISHBONE INDUCED LOSS

• FISHBONE DESTABILIZATION

• THE FISHBONE CYCLE

• RESISTIVE KINETIC INTERNAL KINK

• STABILIZATION OF THE SAWTOOTH

• BALLOONING DESTABILIZATION

• ALPHA PARTICLE EFFECTS

• Problems

• References

The following sections are included:

• INTRODUCTION

• THE DRIFT KINETIC EQUATION

• CROSS FIELD DIFFUSION

• BOOTSTRAP CURRENT

• NEOCLASSICAL TEARING

• WARE PINCH

• MAGNETIC FIELD RIPPLE TRANSPORT

• DIFFUSION IN A STOCHASTIC FIELD

• ISLAND INDUCED DIFFUSION

• ANOMALOUS TRANSPORT

• CONFINEMENT SCALING

• BURN CONTROL

• Problems

• References

The following sections are included:

• INTRODUCTION

• CONNECTION FORMULAE

• CAUSALITY

• BOUND STATES - INSTABILITIES

• OVERDENSE BARRIER - SCATTERING

• UNDERDENSE BARRIER - SCATTERING

• EIGENVALUE PROBLEMS

• Problems

• References

The following sections are included:

• Index