Handbook on Plasma Instabilities

1st Edition - January 28, 1976
Author: Ferdinand Cap
Language: English
eBook ISBN:
9 7 8 - 0 - 3 2 3 - 1 4 8 7 5 - 7

Handbook on Plasma Instabilities, Volume 1 serves as an introduction to the field of plasma physics and plasma instabilities. Topics covered include basic plasma physics,… Read more

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Handbook on Plasma Instabilities, Volume 1 serves as an introduction to the field of plasma physics and plasma instabilities. Topics covered include basic plasma physics, statistical plasma theory, and magnetohydrodynamics (MHD), as well as the many-species theory and plasma containment. The motion of individual particles, oscillations and waves, and MHD instabilities of a real and an ideal plasma are also discussed. This volume is comprised of 13 chapters and begins with a survey of the various applications of plasma sciences and an overview of the fundamental concepts of plasma physics. Basic plasma physics, the physics of instabilities, orbit theory, kinetic theory, MHD, and the many-fluid theory are then presented. The following chapters focus on the principles of plasma containment and waves in plasmas, together with the basic features of plasma instabilities and their classification. The classical MHD stability theory of an ideal and of a real plasma is also described. The final chapter is devoted to drift waves and drift instabilities in inhomogeneous plasmas, paying particular attention to the theory of gradient instabilities and the microscopic theory of waves in non-homogeneous collisionless plasmas. This handbook is intended for beginners in plasma physics and plasma instabilities and for physicists and engineers working actively in the field.

Preface

List of Symbols

Contents of Volume 2

1 The Many Applications of Plasma Sciences

1.1 What is a Plasma?

1.2 Thermonuclear Fusion

1.3 Magnetohydrodynamic Applications

1.4 Material Technology

1.5 Plasma in Electrical Engineering

1.6 Plasma Chemistry

1.7 Space Plasma

1.8 Isotope Separation

2 Basic Plasma Physics

2.1 The Electric Field of a Plasma Particle

2.2 The Plasma Frequency

2.3 Collisions

2.4 Gyrofrequency and Classification of Plasmas

2.5 Plasma Thermodynamics

2.6 Ionization

3 Basic Features of Instabilities

3.1 Oscillations, Waves, and Instabilities

3.2 Nonlinear Oscillations and Stability Analysis

3.3 Unstable Waves

3.4 The Nyquist Plot

3.5 Stabilization

4 Motion of Individual Particles

4.1 The Guiding Center

4.2 Particles in Inhomogeneous and Time Dependent Fields

4.3 Adiabatic Invariants and Motion in Special Fields

4.4 Collisions and Macroscopic Effects of Orbit Theory

4.5 Instabilities in Orbit Theory

5 Statistical Plasma Theory

5.1 Phase Space and Liouville's Equation

5.2 Collisional Kinetic Equations

5.3 Maxwell's and Other Distribution Functions

6 Magnetohydrodynamics

6.1 The Basic Equations

6.2 The Induction Equation and the Validity Domain of MHD

6.3 General Theorems and Applications of MHD

7 Many Species Theory

7.1 Statistical Many Species Theory

7.2 Schlüter's Many Fluid Theory

7.3 The Electrical Conductivity

7.4 Diffusion and Other Transport Phenomena in an Unmagnetized Plasma

7.5 Diffusion and Other Transport Phenomena in a Magnetized Plasma

8 Plasma Containment

8.1 Classification of Containment Systems

8.2 Self-Confinement and the Pinch-Effect

8.3 Magnetohydrostatics and Magnetic Surfaces

8.4 Two-Dimensional Equilibria

8.5 Toroidal Equilibria

8.6 Tokamaks and High Beta Systems

8.7 Containment of Vlasov Plasmas

9 Oscillations and Waves

9.1 The Dispersion Relation for Electromagnetic Waves

9.2 Oscillations and Waves in Cold Unmagnetized Plasmas

9.3 Oscillations and Waves in Warm Unmagnetized Plasmas

9.4 Waves in Cold Magnetized Plasmas

9.5 The CMA Diagram

9.6 Waves in Warm Magnetized Plasmas

9.7 Waves and Oscillations in Unmagnetized Isotropic Vlasov Plasmas

9.8 Waves and Oscillations in Anisotropic and in Magnetized Vlasov Plasmas

9.9 Waves and Oscillations in Bounded Plasmas

10 Classification of Instabilities

10.1 Nomenclature

10.2 Energy Classification and Negative Energy Waves

10.3 Absolute and Convective Instabilities

10.4 Thermodynamics of Instabilities

11 MHD Instabilities of an Ideal Plasma

11.1 Schlüters Stability Criterion

11.2 Bernstein's Energy Principle

11.3 Interchange Instabilities

11.4 Pinch Instabilities

11.5 Instabilities of Streaming Ideal Plasmas

11.6 Instabilities in Special Devices

11.7 Localized Instabilities

12 MHD Instabilities of a Real Plasma

12.1 The Influence of Finite Electric Conductivity

12.2 Effects of Viscosity, Thermal Conductivity, and Flow

12.3 Finite Conductivity and Diffusion in Toroids

13 Drift Waves and Instabilities in Inhomogeneous Plasmas

13.1 Introduction into the Theory of Gradient Instabilities

13.2 Drift Waves in Collisional Plasmas

13.3 Macroscopic Drift Instabilities

13.4 Microscopic Theory of Waves in Non-Homogeneous Collisionless Plasmas

13.5 Low Frequency Drift Waves and Instabilities in a Vlasov Plasma

13.6 High Frequency Drift Waves and Instabilities in a Vlasov Plasma

13.7 Microscopic Theory of Waves and Instabilities in Inhomogeneous Collisional Plasmas

References

Subject Index