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General Properties of Plasmas | |
Definition of a Plasma | |
Plasma as the Fourth State of Matter | |
Plasma Production | |
Particle Interactions and Collective Effects | |
Some Basic Plasma Phenomena | |
Criteria for the De.nition of a Plasma | |
Macroscopic Neutrality | |
Debye Shielding | |
The Plasma Frequency | |
The Occurrence of Plasmas in Nature | |
The Sun and its Atmosphere | |
The Solar Wind | |
The Magnetosphere and the Van Allen Radiation Belts | |
The Ionosphere | |
Plasmas Beyond the Solar System | |
Applications of Plasma Physics | |
Controlled Thermonuclear Fusion | |
The Magnetohydrodynamic Generator | |
Plasma Propulsion | |
Other Plasma Devices | |
Theoretical Description of Plasma Phenomena | |
General Considerations on a Self-Consistent Formulation | |
Theoretical Approaches Problems | |
Introduction | |
Energy Conservation | |
Uniform Electrostatic Field | |
Uniform Magnetostatic Field | |
Formal Solution of the Equation of Motion | |
Solution in Cartesian Coordinates | |
Magnetic Moment | |
Magnetization Current | |
Uniform Electrostatic and Magnetostatic Fields | |
Formal Solution of the Equation of Motion | |
Solution in Cartesian Coordinates | |
Drift Due to an External Force Problems | |
Introduction | |
Spatial Variation of the Magnetic Field | |
Divergence Terms | |
Gradient and Curvature Terms | |
Shear Terms | |
Equation of Motion in the First Order Approximation | |
Average Force Over One Gyration Period | |
Parallel Force | |
Perpendicular Force | |
Total Average Force | |
Gradient Drift | |
Parallel Acceleration of the Guiding Center | |
Invariance of the Orbital Magnetic Moment and of the Magnetic Flux | |
Magnetic Mirror Effect | |
The Longitudinal Adiabatic Invariant | |
Curvature Drift | |
Combined Gradient-Curvature Drift Problems | |
Introduction | |
Slowly Time-Varying Electric Field | |
Equation of Motion and Polarization Drift | |
Plasma Dielectric Constant | |
Electric Field with Arbitrary Time Variation | |
Solution of the Equation of Motion | |
Physical Interpretation | |
Mobility Dyad | |
Plasma Conductivity Dyad | |
Cyclotron Resonance | |
Time-Varying Magnetic Field and Space-Varying Electric Field | |
Equation of Motion and Adiabatic Invariants | |
Magnetic Heating of a Plasma | |
Summary of Guiding Center Drifts and Current Densities | |
Guiding Center Drifts | |
Current Densities Problems | |
Introduction | |
Phase Space | |
Single-Particle Phase Space | |
Many-Particle Phase Space | |
Volume Elements | |
Distribution Function | |
Number Density and Average Velocity | |
The Boltzmann Equation | |
Colisionless Boltzmann Equation | |
Jacobian of the Transformation in Phase Space | |
E.ects of Particle Interactions | |
Relaxation Model for the Collision Term | |
The Vlasov Equation Problems | |
Average Value of a Physical Quantity | |
Average Velocity and Peculiar Velocity | |
Flux | |
Particle Current Density | |
Momentum Flow Dyad or Tensor | |
Pressure Dyad or Tensor | |
Concept of Pressure | |
Force per Unit Area | |
Force per Unit Volume | |
Scalar Pressure and Absolute Temperature | |
Heat Flow Vector | |
Heat Flow Triad | |
Total Energy Flux Triad | |
Higher Moments of the Distribution Function Problems | |
The Equilibrium State Distribution Function | |
The General Principle of Detailed Balance and Binary Collisions | |
Summation Invariants | |
Maxwell-Boltzmann Distribution Function | |
Determination of the Constant Coe.cients | |
Local Maxwell-Boltzmann Distribution Function | |
The Most Probable Distribution | |
Mixture of Various Particle Species | |
Properties of the Maxwell-Boltzmann Distribution Function | |
Distribution of a Velocity Component | |
Distribution of Speeds | |
Mean Values Related to the Molecular Speeds | |
Distribution of Thermal Kinetic Energy | |
Random Particle Flux | |
Kinetic Pressure and Heat Flux | |
Equilibrium in the Presence of an External Force | |
Degree of Ionization in Equilibrium - The Saha Equation Problems | |
Moments of the Boltzmann Equation | |
General Transport Equation 3 | |
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