PREFACE 1.INTRODUCTION 1. General Properties of Plasmas 1.1 Definition of a Plasma 1.2 Plasma as the Fourth State of Matter 1.3 Plasma Production 1.4 Particle Interactions and Collective Effects 1.5 Some Basic Plasma Phenomena 2. Criteria for the Definition of a Plasma 2.1 Macroscopic Neutrality 2.2 Debye Shielding 2.3 The Plasma Frequency 3. The Occurrence of Plasmas in Nature 3.1 The Sun and its Atmosphere 3.2 The Solar Wind 3.3 The Magnetosphere and the Van Allen Radiation Belts 3.4 The Ionosphere 3.5 Plasmas Beyond the Solar System 4. Applications of Plasma Physics 4.1 Controlled Thermonuclear Fusion 4.2 The Magnetohydrodynamic Generator 4.3 Plasma Propulsion 4.4 Other Plasma Devices 5. Theoretical Description of Plasma Phenomena 5.1 General Considerations on a Self-Consistent Formulation 5.2 Theoretical Approaches Problems 2.CHARGED PARTIE MOTION IN CONSTANT AND UNIFORM UNIFORM ELECTROMAGNETIC FIELDS 1. Introduction 2. Energy Conservation 3. Uniform Electrostatic Field 4. Uniform Magnetostatic Field 4.1 Formal Solution of the Equation of Motion 4.2 Solution in Cartesian Coordinates 4.3 Magnetic Moment 4.4 Magnetization Current 5. Uniform Electrostatic and Magnetostatic Fields 5.1 Formal Solution of the Equation of Motion 5.2 Solution in Cartesian Coordinates 6. Drift Due to an External Force Problems 3.CHARGED PARTICLE MOTION IN NONUNIFORM MAGNETOSTATIA FIELDS 1. Introduction 2. Spatial Variation of the Magnetic Field 2.1 Divergence Terms 2.2 Gradient and Curvature Terms 2.3 Shear Terms 3. Equation of Motion in the First-Order Approximation 4. Average Force Over One Gyration Period 4.1 Parallel Force 4.2 Perpendicular Force 4.3 Total Average Force 5. Gradient Drift 6. Parallel Acceleration of the Guiding Center 6.1 Invariance of the Orbital Magnetic Moment and of the Magnetic Flux 6.2 Magnetic Mirror Effect 6.3 The Longitudinal Adiabatic Invariant 7. Curvature Drift 8. Combined Gradient-Curvature Drift Problems 4.CHARGED PARTICLE MOTION IN TIME-VARYING ELECTROMAGNETIC FIELDS 1. Introduction 2. Slowly Time-Varying Electric Field 2.1 Equation of Motion and Polarization Drift 2.2 Plasma Dielectric Constant 3. Electric Field with Arbitrary Time Variation 3.1 Solution of the Equation of Motion 3.2 Physical Interpretation 3.3 Mobility Dyad 3.4 Plasma Conductivity Dyad 3.5 Cyclotron Resonance 4. Time-Varying Magnetic Field and Space-Varying Electric Field 4.1 Equation of Motion and Adiabatic Invariants 4.2 Magnetic Heating of a Plasma 5. Summary of Guiding Center Drifts and Current Densities 5.1 Guiding Center Drifts 5.2 Current Densities Problems 5.Summary of Guiding Center Drifts and Current Densities Problems 1. Introduction 2. Phase Space 2.1 Single-Particle Phase Space 2.2 Many-Particle Phase Space 2.3 Volume Elements 3. Distribution Function 4. Number Density and Average Velocity 5. The Boltzmann Equation 5.1 Collisionless Boltzmann Equation 5.2 Jacobian of the Transformation in Phase Space 5.3 Effects of Particle Interactions 6. Relaxation Model for the Collision Term 7. The Vlasov Equation Problems 6.AVERAGE VALUES AND MACROSCOPIC VARIABLES 1. Average Value of a Physical Quantity 2. Average Velocity and Peculiar Velocity 3. Flux 4. Particle Current Density 5. Momentum Flow Dyad or Tensor 6. Pressure Dyad or Tensor 6.1 Concept of Pressure 6.2 Force per Unit Area 6.3 Force per Unit Volume 6.4 Scalar Pressure and Absolute Temperature 7. Heat Flow Vector 8. Heat Flow Triad 9. Total Energy Flux Triad …… 10.Higher Moments of the Distribution Function Problems 7. THE EQUILIBRIUM STATE 1. The Equilibrium State Distribution Function 2. The Most Probable Distribution 3. Mixture of Various Particle Species 4. Properties of the Maxwell-Boltzmann Distribution Function 5. Equilibrium in the Presence of an External Force 6. Degree of Ionization in Equilibrium and the Saha Equation Problems 8. MACROSCOPIC TRANSPSRT EQUATIONS 1. Moments of the Boltzmann Equation 2. General Transport Equation 3. Conservation of Mass 4. Conservation of Momentum Conservation of Energy 6. The Cold Plasma Model 7. The Warm Plasma Model Problems 9. MACROSCOPIC EQUATIONS FOR A CONDUCTING FLUID 1. Macroscopic Variables for a Plasma as a Conducting Fluid 2. Continuity Equation 3. Equation of Motion 4. Energy Equation 5. Elect rodynamic Equations for a Conducting Fluid 6. Simplified Magnetohydrodynamic Equations Problems 10. PALSMA CONDUCTIVITY AND DIFFUSION 1. Introduction 2. The Langevin Equation 3. Linearization of the Langevin Equation 4. DC Conductivity and Electron Mobility 5. AC Conductivity and Electron Mobility 6. Conductivity with Ion Motion 7. Plasma as a Dielectric Medium 8. Free Electron Diffusion 9. Electron Diffusion in a Magnetic Field 10. Ambipolar Diffusion 11. Diffusion in a Fully Ionized Plasma Problems 11. SOME BASIC PLASMA PHENOMENA 1. Electron Plasma Oscillations 2. The Debye Shielding Problem 3. Debye Shielding Using the Vlasov Equation 4. Plasma Sheath 5. Plasma Probe Problems 12. SIMPLE APPLICATIONS OF MAGETOHYORODYNAMICS 1. Fundamental Equations of Magnetohydrodynamics 2. Magnetic Viscosity and Reynolds Number 3. Diffusion of Magnetic Field Lines 4. Freezing of Magnetic Field Lines to the Plasma 5. Magnetic Pressure 6. Isobaric Surfaces 7. Plasma Confinement in a Magnetic Field Problems 13. THE PINCH EFFECT 14. ELECTROMAGNETIC WAVES IN FREE SPACE 1. Introduction 2. The Equilibrium Pinch 3. The Bennett Pinch 4. Dynamic Model of the Pinch 5. Instabilities in a Pinched Plasma Column 6. The Sausage Instability 7. The Kink Instability 8. Convex Field Configurations Problems 15. MAGNETOHYDRODYNAMIC WAVES 1. The Wave Equation 2. Solution in Plane Waves 3. Harmonic Waves 4. Polarization 5. Energy Flow 6. Wave Packets and Group Velocity Problems 16. WAVES IN COLD PLASMAS 1. Introduction 2. MHD Equations for a Compressible 3. Propagation Perpendicular to the Magnetic Field 4. Propagation Parallel to the Magnetic Field 5. Propagation at Arbitrary Directions 6. Effect of Displacement Current 7. Damping of MHD Waves Problems 5. Wave Propagation in Magnetized Cold Plasmas 6. Propagation Parallel to Bo 7. Propagation Perpendicular to Bo 8. Propagation at Arbitrary Directions 9. Some Special Wave Phenomena in Cold Plasmas Problems 17. WSVES IN WARM PLASMAS 1. Introduction 2. Waves in a Fully Ionized Isotropic Warm Plasma 3. Basic Equations for Waves in a Warm Magnetoplasma 4. Waves in a Warm Electron Gas in a Magnetic Field 5. Waves in a Fully Ionized Warm Magnetoplasma 6. Summary Problems 18. WSVES IN HOT ISOTROPIC PLASMAN 1. Introduction 2. Basic Equations 3. General Results for a Plane Wave 4. Electrostatic Longitudinal Wave in a Hot Isotropic Plasma 5. Transverse Wave in a Hot Isotropic Plasma 6. The Two-Stream Instability 7. Summary Problems 19. WAVES IN HOT MAGNETIZED PLASMAS 1. Introduction 2. Wave Propagation Along the Magnetostatic Field in a Hot Plasma 3. Wave Propagation Across the Magnetostatic Field in a Hot Plasma 4. Summary Problems 20. PARTICLE INTERACTIONS IN PLASMAS 1. Introduction 2. Binary Collisions 3. Dynamics of Binary Collisions 4. Evaluation of the Scattering Angle 5. Cross Sections 6. Cross Sections for the Hard Sphere Model 7. Cross Sections for the Coulomb Potential 8. Screening of the Coulomb Potential Problems 21. THE BOL TZMANN AND THE FOKKER-PLANCK EQUATIONS 1. Introduction 2. The Boltzmann Equation 3. The Boltzmanns H Function 4. Boltzmann Collision Term for a Weakly Ionized Plasma 5. The Fokker-Planck Equation Problems 22. TPANSPORT PROCESSES IN PLASMAS 1. Introduction 2. Electric Conductivity in a Nonmagnetized Plasma 3. Electric Conductivity in a Magnetized Plasma 4. Free Diffusion 5. Diffusion in a Magnetic Field 6. Heat Flow Problems APPENDIX A Useful Vector Relations APPENDIX B Useful Relations in Cartesian and in Curvilinear Coordinates APPENDIX C Physical Constants (MKSA) APPENDIX D Conversion Factors for Physical Units APPENDIX E Some Important Plasma Parameters APPENDIX F Approximate Magnitudes in Some Typical Plasmas INDEX
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