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Ideal MHD

Ideal MHD

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Jeffrey P. Freidberg
Cambridge University Press
Edition: Revised ed., 6/26/2014
EAN 9781107006256, ISBN10: 1107006252

Hardcover, 740 pages, 25.2 x 17.3 x 3.3 cm
Language: English

Comprehensive, self-contained, and clearly written, this successor to Ideal Magnetohydrodynamics (1987) describes the macroscopic equilibrium and stability of high temperature plasmas - the basic fuel for the development of fusion power. Now fully updated, this book discusses the underlying physical assumptions for three basic MHD models: ideal, kinetic, and double-adiabatic MHD. Included are detailed analyses of MHD equilibrium and stability, with a particular focus on three key configurations at the cutting-edge of fusion research: the tokamak, stellarator, and reversed field pinch. Other new topics include continuum damping, MHD stability comparison theorems, neoclassical transport in stellarators, and how quasi-omnigeneity, quasi-symmetry, and quasi-isodynamic constraints impact the design of optimized stellarators. Including full derivations of almost every important result, in-depth physical explanations throughout, and a large number of problem sets to help master the material, this is an exceptional resource for graduate students and researchers in plasma and fusion physics.

1. Introduction
2. The ideal MHD model
3. General properties of ideal MHD
5. Equilibrium
one-dimensional configurations
6. Equilibrium
two-dimensional configurations
7. Equilibrium
three-dimensional configurations
8. Stability
general considerations
9. Alternate MHD models
10. MHD stability comparison theorems
11. Stability
one-dimensional configurations
12. Stability
multi-dimensional configurations
Appendix A. Heuristic derivation of the kinetic equation
Appendix B. The Braginskii transport coefficients
Appendix C. Time derivatives in moving plasmas
Appendix D. The curvature vector
Appendix E. Overlap limit of the high b and Greene–Johnson stellarator models
Appendix F. General form for q(y)
Appendix G. Natural boundary conditions
Appendix H. Upper and lower bounds on dQKIN.