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Cover Art
PRINTED BOOKS
Author White, R. B., author.

Title The theory of toroidally confined plasmas / Roscoe B. White, Princeton University.

Published London : Imperial College Press, [2014]
©2014.

Copies

Location Call No. Status
 UniM ERC  538.6 WHIT    AVAILABLE
Edition Third edition.
Physical description xxxi, 494 pages : illustrations (some color) ; 24 cm
Bibliography Includes bibliographical references and index.
Contents Chapter 1 Toroidal Configuration 1 -- 1.1 Introduction 1 -- 1.2 General Coordinates 6 -- 1.3 Basis Vectors, Metric Tensor 7 -- 1.4 Vector Operators 9 -- 1.5 Magnetic Field Representation 10 -- 1.6 Magnetic Surfaces 11 -- 1.7 Magnetic Surface Destruction 13 -- 1.8 Standard Map 22 -- 1.9 Problems 29 -- 1.10 References 31 -- Chapter 2 Equilibrium 33 -- 2.1 Introduction 33 -- 2.2 Virial Theorem 34 -- 2.3 Field Line Curvature 35 -- 2.4 General 3-D Equilibria 36 -- 2.5 Stellarators 43 -- 2.6 Axisymmetric Equilibria 46 -- 2.7 Tokamak Ordering 48 -- 2.8 Shafranov Equilibrium 49 -- 2.9 Cylindrical Tokamak Equilibria 55 -- 2.10 High Beta Equilibrium 58 -- 2.11 Flux Conserving Equilibria 60 -- 2.12 Equilibrium Scaling 61 -- 2.13 Equilibrium Types 62 -- 2.14 Stepped Presssure Equilibria 63 -- 2.15 Problems 69 -- 2.16 References 70 -- Chapter 3 Guiding Center Motion 73 -- 3.1 Introduction 73 -- 3.2 Lagrangian and Hamiltonian Formulation 77 -- 3.3 Orbit Types in Axisymmetric Equilibria 82 -- 3.4 Integral Invariants 93 -- 3.5 Toroidal Precession 96 -- 3.6 Large Aspect Ratio 98 -- 3.7 Diamagnetic Current 102 -- 3.8 Confinement of Fusion Alpha Particles 104 -- 3.9 Magnetic Perturbations 104 -- 3.10 Scattering and Energy Diffusion 115 -- 3.11 Problems 118 -- 3.12 References 119 -- Chapter 4 Linear Ideal Modes 121 -- 4.1 Introduction 121 -- 4.2 Plasma Kinetic and Potential Energy 126 -- 4.3 Self Adjointness of the Potential Energy 127 -- 4.4 Energy Principle 128 -- 4.5 Convenient form for δW 129 -- 4.6 Cylindrical Geometry Energy Principle 133 -- 4.7 MHD Instabilities in Low β Tokamaks 137 -- 4.8 Kink Mode 139 -- 4.9 M = 1 External Kink 144 -- 4.10 Internal Kink Mode 145 -- 4.11 Ballooning Instabilities 148 -- 4.12 Magnetic Well 154 -- 4.13 Ballooning, Simple Equilibria 155 -- 4.14 Mercier, Suydam Criteria 158 -- 4.15 Ballooning Equation Modification 162 -- 4.16 Tae Modes 163 -- 4.17 Axisymmetric Modes 164 -- 4.18 Numerical MHD Spectrum 167 -- 4.19 Shape and Aspect Ratio 168 -- 4.20 Problems 172 -- 4.21 References 173 -- Chapter 5 Linear Resistive Modes 177 -- 5.1 Introduction 177 -- 5.2 Tearing Mode 182 -- 5.3 Skin Current Profile 201 -- 5.4 Toroidal and Shaping Effects 202 -- 5.5 Resistive Surface Kink Mode 209 -- 5.6 Optimized Profiles 206 -- 5.7 Rippling Mode 208 -- 5.8 Resistive Interchange Mode 209 -- 5.9 Resistive Ballooning 209 -- 5.10 Diamagnetic Rotation 211 -- 5.11 Problems 215 -- 5.12 References 217 -- Chapter 6 Mode-Particle Interaction 221 -- 6.1 Introduction 221 -- 6.2 Ideal Displacement ξ, α, δB, and Potential 226 -- 6.3 Resonance 233 -- 6.4 Fibonacci Sequence 236 -- 6.5 Landau Phase Mixing 238 -- 6.6 Phase Vector Rotation 241 -- 6.7 Mode Induced Avalanche 246 -- 6.8 Mode-Particle Energy Transfer 251 -- 6.9 Mode Evolution 253 -- 6.10 Tae Mode Drive and Saturation 280 -- 6.11 Trapped Particle Resonance 284 -- 6.12 Fishbone Induced Loss 287 -- 6.13 Fishbone Destabilization 289 -- 6.14 Fishbone Cycle 299 -- 6.15 Resistive Kinetic Internal Kink 302 -- 6.16 Stabilization of the Sawtooth 303 -- 6.17 Ballooning Destabilization 308 -- 6.18 Alpha Particle Effects 309 -- 6.19 Problems 311 -- 6.20 References 312 -- Chapter 7 Cyclotron Motion 317 -- 7.1 Introduction 317 -- 7.2 Sub Cyclotron Heating 317 -- 7.3 Stochastic Domain 323 -- 7.4 Cyclotron Motion in a Toroidal System 325 -- 7.5 Cyclotron and Guiding Center Analyses of Resonance 328 -- 7.6 Profile Flattening 331 -- 7.7 References 333 -- Chapter 8 Nonlinear Behavior 335 -- 8.1 Introduction 335 -- 8.2 Reduced Equations 339 -- 8.3 Nonlinear External Kink 342 -- 8.4 Vacuum Bubbles 345 -- 8.5 Nonlinear Internal Kink 349 -- 8.6 Complete Resistive Reconnection 352 -- 8.7 Nonlinear Tearing Mode Analysis 352 -- 8.8 Sawtooth Oscillations 360 -- 8.9 Disruptions 365 -- 8.10 Empirical Limits 370 -- 8.11 Greenwald Density Limit 372 -- 8.12 Stabilization of Tearing Modes 374 -- 8.13 Problems 377 -- 8.14 References 378 -- Chapter 9 Transport 383 -- 9.1 Introduction 383 -- 9.2 Drift Kinetic Equation 389 -- 9.3 Cross Field Diffusion 392 -- 9.4 Bootstrap Current 396 -- 9.5 Neoclassical Tearing 401 -- 9.6 Ware Pinch 401 -- 9.7 Magnetic Field Ripple Transport 402 -- 9.8 Diffusion in a Stochastic Field 415 -- 9.9 Island Induced Diffusion 418 -- 9.10 Anomalous Transport 421 -- 9.11 Confinement Scaling 426 -- 9.12 Nonlocal Transport 428 -- 9.13 Burn Control 435 -- 9.14 Problems 438 -- 9.15 References 441 -- Chapter 10 Lithium Wall Fusion Concept 447 -- 10.1 Idea of Magnetic Fusion 447 -- 10.2 Confinement Regime Controlled by Thermal Conduction 449 -- 10.3 Diffusion Based Confinement Regime 450 -- 10.4 Implementation 452 -- 10.5 Alpha Particle Confinement 454 -- 10.6 Divertor Plates 455 -- 10.7 References 456 -- Chapter 11 Phase Integral Methods 457 -- 11.1 Introduction 457 -- 11.2 Connection Formulae 460 -- 11.3 Causality 467 -- 11.4 Bound States - Instabilities 468 -- 11.5 Overdense Barrier - Scattering 472 -- 11.6 Underdense Barrier - Scattering 476 -- 11.7 Eigenvalue Problems 479 -- 11.8 Problems 484 -- 11.9 References 487.
Subject Magnetohydrodynamic instabilities.
Plasma confinement.
Tokamaks.
ISBN 9781783263639 (hardback)