Theory of Fully Ionized Plasmas

Theory of Fully Ionized Plasmas deals with the theory of fully ionized plasmas, with emphasis on their resistant groups, namely, electrons and nuclei. A model of the fully ionized plasma is presented based in part on the assumption that the system is sufficiently large so that the behavior of its individuals is not affected by the presence of boundaries. Where this assumption is applied the fully ionized plasma is called a Coulomb system.

Comprised of six chapters, this book begins with a discussion on the Coulomb system as the fully ionized system in the quasi-static electromagnetic field. The equilibrium and non-equilibrium states of this Coulomb system, with or without individual particle correlations, are considered. The macroscopic and microscopic qualities of the Coulomb system are also described, together with its partition function and Landau's solution to the Vlasov equation. The second part explores the fully ionized system in the general electromagnetic field and addresses single-particle radiation and many-particle interactions with electromagnetic fields.

This monograph is intended for graduate students and research workers in the field of plasma physics, astrophysics, or related topics.

Contenu

Preface
List of Symbols
Model of the Fully Ionized Plasma and the Coulomb System
Part 1 The Fully Ionized System in the Quasistatic Electromagnetic Field, The Coulomb System
Chapter I Equilibrium States of the Coulomb System

1. Review of the Basic Concepts
2. Macroscopic Qualities
3. Partition Function of the Coulomb System
4. Microscopic Qualities of the Coulomb System
5. The Fluctuation-Dissipation Theorem
   References and Supplementary Reading
   Chapter II Nonequilibrium States of the Coulomb System, General Description
6. The Exact Density Distribution of the Single System
7. The Average Distributions of Gibbs' Ensemble
   References and Supplementary Reading
   Chapter III Nonequilibrium States of the Coulomb System, Description without Individual Particle Correlations
8. The Vlasov Approach
9. Solutions of the Linear Vlasov Equation
10. Fourier Transformation in Time
11. Landau's Treatment of the Vlasov Equation
12. Van Kampen's Treatment of the Vlasov Equation
    References and Supplementary Reading
    Chapter IV Nonequilibrium States of the Coulomb System with Individual Particle Correlations
13. Derivation of Kinetic Equations from the BBGKY Hierarchy
14. Macroscopic Equations
15. Review of Systematic Methods
    References and Supplementary Reading
    Part 2 The Fully Ionized System in the General Electromagnetic Field
    Chapter V Single-Particle Radiation
16. General Formulation of Electromagnetic Fields
17. General Formulation of Radiation Fields
18. Bremsstrahlung
19. Cyclotron Radiation
    References and Supplementary Reading
    Chapter VI Many-Particle Interactions with Electromagnetic Fields
20. Basic Equations
21. Solution with Collective Particle Correlations Only
22. Solutions Including Individual Electron-Ion Correlations
23. Collective Description of Particle Dynamics-Individual Description of Emission Processes-Light Scattering
24. Radiation Transport
    References and Supplementary Reading
    Appendix Characteristic Quantities of the Plasma
    References
    Author Index
    Subject Index