Theory of Fully Ionized Plasmas

1st Edition - January 1, 1972
Author: Günter Ecker
Language: English
eBook ISBN:
9 7 8 - 1 - 4 8 3 2 - 7 0 4 7 - 0

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… Read more

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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.

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

1. The Exact Density Distribution of the Single System

2. The Average Distributions of Gibbs' Ensemble

References and Supplementary Reading

Chapter III Nonequilibrium States of the Coulomb System, Description without Individual Particle Correlations

1. The Vlasov Approach

2. Solutions of the Linear Vlasov Equation

3. Fourier Transformation in Time

4. Landau's Treatment of the Vlasov Equation

5. Van Kampen's Treatment of the Vlasov Equation

References and Supplementary Reading

Chapter IV Nonequilibrium States of the Coulomb System with Individual Particle Correlations

1. Derivation of Kinetic Equations from the BBGKY Hierarchy

2. Macroscopic Equations

3. Review of Systematic Methods

References and Supplementary Reading

Part 2 The Fully Ionized System in the General Electromagnetic Field

Chapter V Single-Particle Radiation

1. General Formulation of Electromagnetic Fields

2. General Formulation of Radiation Fields

3. Bremsstrahlung

4. Cyclotron Radiation

References and Supplementary Reading

Chapter VI Many-Particle Interactions with Electromagnetic Fields

1. Basic Equations

2. Solution with Collective Particle Correlations Only

3. Solutions Including Individual Electron-Ion Correlations

4. Collective Description of Particle Dynamics—Individual Description of Emission Processes—Light Scattering

5. Radiation Transport

References and Supplementary Reading

Appendix Characteristic Quantities of the Plasma

References

Author Index

Subject Index