Spheromaks: A Practical Application of Magnetohydrodynamic Dynamos and Plasma Self-Organization

Front Cover
World Scientific, Jan 22, 2000 - Science - 356 pages

Spheromaks are easily formed, self-organized magnetized plasma configurations that have intrigued plasma physicists for over two decades. Sometimes called magnetic vortices, magnetic smoke rings, or plasmoids, spheromaks first attracted attention as a possible controlled thermonuclear plasma confinement scheme, but are now known to have many other applications.

This book begins with a review of the basic concepts of magnetohydrodynamics and toroidal magnetic configurations, then provides a detailed exposition of the 3D topological concepts underlying spheromak physics, namely magnetic helicity, Taylor relaxation, force-free equilibria, and tilt stability. It then examines spheromak formation techniques, driven and isolated configurations, dynamo concepts, practical experimental issues, diagnostics, and a number of applications. The book concludes by showing how spheromak ideas are closely related to the physics of solar prominences and interplanetary magnetic clouds.


Chapter 1: Introduction (1,787 KB)

Contents

CHAPTER 1 Introduction
1
CHAPTER 2 Basic Concepts
17
CHAPTER 3 Magnetic Helicity
37
CHAPTER 4 Relaxation of an Isolated Configuration to the Taylor State
71
CHAPTER 5 Relaxation in Driven Configurations
87
CHAPTER 6 The MHD Energy Principle Helicity and Taylor States
95
CHAPTER 7 Survey of Spheromak Formation Schemes
109
an Imperfect Analogy to Thermodynamics
123
CHAPTER 13 Confinement and Transport in Spheromaks
207
CHAPTER 14 Some Important Practical Issues
227
CHAPTER 15 Basic Diagnostics for Spheromaks
243
CHAPTER 16 Applications of Spheromaks
263
CHAPTER 17 Solar and Space Phenomena Related to Spheromaks
283
REFERENCES
303
APPENDIX A Vector Identities and Operators
315
APPENDIX B Bessel Orthogonality Relations
317

CHAPTER 9 Analysis of Isolated Cylindrical Spheromaks
129
CHAPTER 10 The Role of the Wall
143
Strong Coupling
155
CHAPTER 12 Helicity Flow and Dynamos
183
APPENDIX C Capacitor Banks
321
APPENDIX D Selected Formulae
325
INDEX
333
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