Overview

The 15th volume in this import collection on developments in this extraordinarily difficult and frustrating field is translated from the Russian edition of 1984. Three long papers examine: magnetothermal processes in dense plasmas; collective interaction of relativistic electron beams with plasmas;

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Author:   B.B. Kadomtsev
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of the original 1st ed. 1990
Volume:   15
ISBN:  

9781461577867

ISBN 10:   1461577861
Pages:   336
Publication Date:   14 May 1991
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

Magnetothermal Processes in Dense Plasmas.- 1. Cooling and Anomalous Heat Conduction in Plasmas with ??l.- 2. Radiative Cooling Waves in Dense Magnetized Plasmas.- 3. Loss of Magnetic Flux during Field Reversal in ?-Pinches.- 4. Generation of Very Strong Magnetic Fields by Liner Compression of Plasmas.- 5. Rapid Dissipation of Magnetic Field Energy in Neutral Layers.- 6. Diffusion of Heavy Impurities in Dense Plasmas.- 7. Radiative Instability in Multicomponent Plasmas.- References.- Collective Interaction of Relativistic Electron Beams with Plasmas.- 1. Linear Dispersion Equation. Resonances in the Excitation of Waves by Particles.- 2. Beam Instability in a Plasma without a Magnetic Field [the Excitation of Langmuir Waves].- 3. Hydrodynamic Instabilities of Beams in Magnetoactive Plasmas.- 3.1. Excitation of Langmuir Waves.- 3.2. Excitation of Helicons.- 3.3. Excitation of Magnetized Electron Oscillations with |?H| ? ?p.- 3.4. Excitation of Slow Extraordinary Waves.- 4. Kinetic Instabilities of Beams in Magnetoactive Plasmas.- 4.1. Excitation of Langmuir Waves with |?H| ? ? p.- 4.2. Excitation of Helicons.- 4.3. Excitation of Magnetized Electron Oscillations.- 4.4. Excitation of Slow Extraordinary Waves.- 5. Beam Instability in an Inhomogeneous Plasma.- 5.1. Regular Inhomogeneity.- 5.2. Random Inhomogeneity.- 6. Quasilinear Relaxation of an REB in a Plasma without a Magnetic Field.- 7. Nonlinear Interaction and Streaming Spectra of Langmuir Waves.- 8. Stability of the Stationary Spectrum during Stimulated Wave Scattering.- 9. Relaxation of an REB during Wave Scattering on Ions.- 9.1. Qualitative Treatment.- 9.2. The Stationary Spectrum.- 9.3. Diffusion of Beam Electrons.- 9.4. Collisional Damping and Radiative Losses.- 10. Accumulation of Electromagnetic Waves.- 11. Scattering of Langmuir Waves on Stimulated Density Fluctuations.- 12. Langmuir Turbulence in Magnetoactive Plasmas.- 12.1. Statement of the Stream Spectrum Problem.- 12.2. The ll-Scattering Regime.- 12.3. lr-Scattering.- 13. Interaction of Beams with Helicons.- 13.1. Qualitative Treatment.- 13.2. Solution of the Quasilinear Problem.- 13.3. Discussion of Results.- 14. Hot Electrons.- 14.1. Electron Heating in Plasmas without a Magnetic Field.- 14.2. Electron Heating in Magnetoactive Plasmas.- References.- Equilibrium and Stability of Plasmas in Stellarators.- 1. Basic Results of the Theory.- 1.1. Development of Theoretical Research.- 1.2. Basic Parameters of Stellarators.- 1.3. Plasma Confinement in Stellarators with a Spatial Axis.- 1.4. Plasma Confinement in Conventional Stellarators.- 1.5. Results of a Numerical Calculation.- 2. The Three-dimensional Equilibrium Equations.- 2.1. The Magnetic Field in Flux Coordinates.- 2.2. Special Choices of Flux Coordinates.- 2.3. The Relationship between Currents and Fluxes.- 2.4. General Statement of the Equilibrium Problems.- 2.5. The Equilibrium Problem in Terms of Two-Dimensional Equations. Evolution of the Equilibrium.- 2.6. Systems of Three-Dimensional Equilibrium Equations in Different Representations.- 3. Configurations with Helical Symmetry.- 3.1. The Equilibrium Equations.- 3.2. Basic Geometrical Relationships.- 3.3. Equations Relating the Currents and Fluxes.- 3.4. Other Formulations of the Equilibrium Equations.- 4. The Theory of Plasma Equilibrium in Conventional Stellarators.- 4.1. The Stellarator Approximation.- 4.2. Flux Coordinates, Basic Equations, and Features of Their Solution by Expansion.- 4.3 Reducing the Three-Dimensional Equilibrium Equations to Two Dimensions.- 4.4. Analysis of the Two-Dimensional Equations. Other Formulations of Them.- 4.5. Derivation of the Scalar Two-Dimensional Equilibrium Equation from the Averaged MHD Equations.- 4.6. Intrinsic Expansion Parameters.- 5. Some Features of Plasma Equilibrium in Stellarators.- 5.1. Approximate Description of Equilibrium.- 5.2. Evolution of the Plasma Equilibrium in Stellarators.- 5.3. The Diamagnetic Effect in Stellarators.- 6. MHD Instabilities of Plasmas.- 6.1. Perturbation Equations.- 6.2. The Energy Principle.- 6.3. Integral Quantities.- 6.4. Different Representations of the Instability Source K.- 6.5. Sufficient Criteria for Stability.- 6.6. Derivation of the Mercier Criterion.- 6.7. Derivation of the Ballooning Mode Equations.- Appendices.- References.

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