Fundamentals of Plasma Physics

CONTENTS 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 De.nition 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 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 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 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 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 Colisionless Boltzmann Equation 5.2 Jacobian of the Transformation in Phase Space 5.3 E.ects of Particle Interactions 6. Relaxation Model for the Collision Term 7. The Vlasov Equation Problems 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 1. The Equilibrium State Distribution Function 1.1 The General Principle of Detailed Balance and Binary Collisions 1.2 Summation Invariants 1.3 Maxwell-Boltzmann Distribution Function 1.4 Determination of the Constant Coe.cients 1.5 Local Maxwell-Boltzmann Distribution Function 2. The Most Probable Distribution 3. M