In the interest of speed and economy the notation of the original text has been retained so that the cross product of two vectors A and B is denoted by [AB], the dot product by (AB) , the Laplacian operator by . 6" etc. It might also be worth pointing out that the temperature is frequently expressed in energy units in the Soviet literature so that the Boltzmann constant will be missing in various familiar expressions. In matters of terminology, whenever possible several forms are used when a term is first introduced, e. g. , magnetoacoustic and magnetosonic waves, "probkotron" and mirror machine, etc. It is hoped in this way to help the reader to relate the terms used here with those in exist ing translations and with the conventional nomenclature. In general, in the bibliographies, when a translated version of a given citation is available, only the English translation is cited, unless reference is made to a specific portion of the Russian version. Except for the correction of some obvious misprints the text is that of the original. We wish to express our gratitude to Academician Leontovich for kindly providing the latest corrections and additions to the Russian text, and especially for some new material, which appears for the first time in the American edition. v CONTENTS Chapter 1 PLASMA CONFINEMENT IN CLOSED MAGNETIC SYSTEMS L. S. Solov'ev and V. D. Shafranov . . . . . . . . . . . . . . . . . . 1 § 1. Introduction. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 § 2. General Properties of Toroidal Configurations. . . . . . . . . . . .
Auflage
Sprache
Verlagsort
Verlagsgruppe
ISBN-13
978-1-4615-7793-5 (9781461577935)
DOI
10.1007/978-1-4615-7793-5
Schweitzer Klassifikation
1 Plasma Confinement in Closed Magnetic Systems.- § 1. Introduction.- § 2. General Properties of Toroidal Configurations.- § 3. Orthogonal Coordinate System with Spatial Axis.- § 4. Magnetic Field near a Given Line of Force.- § 5. Structure of Magnetic Surfaces in the Vicinity of a Closed Line of Force.- § 6. Magnetic Surfaces Close to a Magnetic Axis.- § 7. Shape of Toroidal Magnetic Surfaces.- § 8. Perturbation of Magnetic Surfaces by a First-Harmonic Field.- § 9. Solution of the Equations for the Parameters of the Magnetic Surface.- § 10. Perturbation of Toroidal Magnetic Surfaces.- § 11. Plasma Equilibrium in a Toroidal System.- § 12. Effect of Curvature on Classical Diffusion and Thermal Conductivity.- § 13. Integral Characteristics of Toroidal Magnetic Configurations.- § 14. Examples of Actual Systems.- § 15. Helical Magnetic Configurations.- § 16. Containment of Charged Particles in Closed Toroidal Configurations.- Appendix I. Magnetic Surfaces Near Elliptic, and Hyperbolic Magnetic Axes.- Appendix II. Calculation of the Surface Functions ? and ?* by the Method of Averaging.- Appendix III. Number of Loops for Two Closed Curves.- Appendix IV. Certain Integrals that Appear in Calculations of the Specific Volume V'(?) and the Rotational Transform ?=2? ?(?).- References.- 2 Turbulence in Toroidal Systems.- 3 Cyclotron Instabilities in an Anisotropic Plasma.- § 1. Introduction. Classification of Instabilities.- § 2. Basic Equation.- § 3. Stability of a Plasma with an Anisotropic Maxwellian Ion Distribution.- § 4. Stability of a Plasma with a ?-Function Ion Velocity Distribution.- § 5. Stability of an Anisotropic Plasma with Cold Ions.- § 6. Stability of a Plasma with a Nonequilibrium Electron Velocity Distribution.- § 7. Conclusion.Basic Results.- References.- 4 Magnetohydrodynamic Theory of the Pinch Effect in a Dense High-Temperature Plasma (Dense Plasma Focus).- Conclusion.- References.- 5 Energy Balance and the Feasibility of a Self-Sustaining Thermonuclear Reaction in a Mirror Device.- References.
