Flux Coordinates and Magnetic Field Structure
A Guide to a Fundamental Tool of Plasma Theory
Series: Scientific Computation;
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Product details:
- Edition number Softcover reprint of the original 1st ed. 1991
- Publisher Springer Berlin Heidelberg
- Date of Publication 16 December 2011
- Number of Volumes 1 pieces, Book
- ISBN 9783642755972
- Binding Paperback
- No. of pages241 pages
- Size 235x155 mm
- Weight 394 g
- Language English
- Illustrations XII, 241 p. 100
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Long description:
Flux Coordinates and Magnetic Field Structure gives a systematic and rigorous presentation of the mathematical framework and principles underlying the description of magnetically confined fusion plasmas. After a brief treatment of vector algebra in curvilinear coordinate systems the book introduces concepts such as flux surfaces, rotational transforms, and magnetic differential equations. The various specific types of coordinate system are dealt with in detail. Researchers and advanced students in plasma physics, electromagnetics, and mathematical physics will greatly benefit from this useful guide and reference book. Flux Coordinates and Magnetic Field Structure gives a systematic and rigorous presentation of the mathematical framework and principles underlying the description of magnetically confined fusion plasmas. The various specific types of coordinate system are dealt with in detail.
MoreTable of Contents:
1. Introduction and Overview.- I Fundamental Concepts.- 2. Vector Algebra and Analysis in Curvilinear Coordinates.- 3. Tensorial Objects.- 4. Magnetic-Field-Structure-Related Concepts.- II Flux Coordinates.- 5. The Clebsch-Type Coordinate Systems.- 6. Toroidal Flux Coordinates.- 7. Conversion from Clebsch Coordinates to Toroidal Flux Coordinates.- 8. Establishment of the Flux-Coordinate Transformation; A Summary.- 9. Canonical Coordinates or “Generalized Magnetic Coordinates”.- III Selected Topics.- 10. “Proper” Toroidal Coordinates.- 11. The Dynamic Equilibrium of an Ideal Tokamak Plasma.- 12. The Relationship Between ?dl/B and dV/d?tor.- 13. Transformation Properties of Vector and Tensor Components.- 14. Alternative Derivations of the Divergence Formula.- References.
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