Ecker Theory of Fully Ionized Plasmas

1. Auflage 2013
ISBN: 978-1-4832-7047-0
Verlag: Elsevier Science & Techn.
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 360 Seiten, Web PDF

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.

Autoren/Hrsg.

Ecker, Günter

Inhaltsverzeichnis

1;Front Cover;1
2;Theory of Fully Ionized Plasmas;4
3;Copyright Page;5
4;Table of Contents;6
5;Preface;10
6;List of Symbols;12
7;Model of the Fully Ionized Plasma and the Coulomb System;18
8;Part 1: THE FULLY IONIZED SYSTEM IN THE QUASISTATIC ELECTROMAGNETIC FIELD, THE COULOMB SYSTEM;20
8.1;Chapter I. Equilibrium States of the Coulomb System;22
8.1.1;1. Review of the Basic Concepts;22
8.1.2;2. Macroscopic Qualities;26
8.1.3;3. Partition Function of the Coulomb System;30
8.1.4;4. Microscopic Qualities of the Coulomb System;53
8.1.5;5. The Fluctuation–Dissipation Theorem;90
8.1.6;REFERENCES AND SUPPLEMENTARY READING;94
8.2;Chapter II. Nonequilibrium States of the Coulomb System, General Description;98
8.2.1;1. The Exact Density Distribution of the Single System;98
8.2.2;2. The Average Distributions of Gibbs' Ensemble;101
8.2.3;REFERENCES AND SUPPLEMENTARY READING;107
8.3;Chapter III. Nonequilibrium States of the Coulomb System, Description without Individual Particle Correlations;108
8.3.1;I. The Vlasov Approach;108
8.3.2;2. Solutions of the Linear Vlasov Equation;114
8.3.3;3. Fourier Transformation in Time;130
8.3.4;4. Landau's Treatment of the Vlasov Equation;135
8.3.5;5. Van Kampen's Treatment of the Vlasov Equation;148
8.3.6;REFERENCES AND SUPPLEMENTARY READING;155
8.4;Chapter IV. Nonequilibrium States of the Coulomb System with Individual Particle Correlations;158
8.4.1;1. Derivation of Kinetic Equations from the BBGKY Hierarchy;158
8.4.2;2. Macroscopic Equations;193
8.4.3;3. Review of Systematic Methods;218
8.4.4;REFERENCES AND SUPPLEMENTARY READING;238
9;Part 2: THE FULLY IONIZED SYSTEM IN THE GENERAL ELECTROMAGNETIC FIELD;242
9.1;Chapter V. Single-Particle Radiation;244
9.1.1;1. General Formulation of Electromagnetic Fields;244
9.1.2;2. General Formulation of Radiation Fields;254
9.1.3;3. Bremsstrahlung;263
9.1.4;4. Cyclotron Radiation;272
9.1.5;REFERENCES AND SUPPLEMENTARY READING;279
9.2;Chapter VI. Many-Particle Interactions with Electromagnetic Fields;282
9.2.1;1. Basic Equations;282
9.2.2;2. Solution with Collective Particle Correlations Only;286
9.2.3;3. Solutions Including Individual Electron-Ion Correlations;299
9.2.4;4. Collective Description of Particle Dynamics—Individual Description of Emission Processes—Light Scattering;316
9.2.5;5. Radiation Transport;331
9.2.6;REFERENCES AND SUPPLEMENTARY READING;337
10;Appendix: Characteristic Quantities of the Plasma;340
10.1;REFERENCES;348
11;Author Index;350
12;Subject Index;354