Plasma Electrodynamics (eBook)

Linear Theory

A. I. Akhiezer, I. A. Akhiezer, R. V. Polovin (Autoren)

D. ter Haar (Herausgeber)

eBook Download: PDF

2017 | 1. Auflage
432 Seiten
Elsevier Science (Verlag)
9781483152158 (ISBN)

Infos

Plasma Electrodynamics, Volume 1: Linear Theory is a seven-chapter book that begins with a description of the general methods of describing plasma, particularly, kinetic and hydrodynamic methods. Chapter 2 discusses the linear theory of magneto-hydrodynamic waves. Chapter 3 describes the non-linear magneto-hydrodynamic waves, both simple waves and shock waves. Subsequent chapters explain the high-frequency oscillations in an unmagnetized plasma; oscillations of a plasma in a magnetic field; and interaction between charged particle beams and a plasma. The last chapter details the oscillations of a partially ionized plasma.

Inhalt

Front Cover 1
Plasma Electrodynamics: Linear Theory 4
Copyright Page 5
Table of Contents 6
Preface 12
Preface to the English Edition 18
Chapter 1. Kinetic and Hydrodynamic Methods of Describing a Plasma 20
1.1. Kinetic equations hierarchy 20
1.2. The Vlasov equation 27
1.3. The pair correlation function of an equilibrium plasma and the Landau collision integral 30
1.4. Relaxation of a plasma 38
1.5. The hydrodynamical description of a plasma 44
Chapter 2. Small Amplitude Magneto-hydrodynamic Waves 67
2.1. Magneto-sound and Alfvén waves 67
2.2. Characteristics of the magneto-hydrodynamical equations 90
Chapter 3. Simple Waves and Shock Waves in Magneto-hydrodynamics 102
3.1. Simple waves 102
3.2. Discontinuities 118
3.3. Stability and structure of shock waves 134
3.4. Study of discontinuities 169
Chapter 4. High-frequency Oscillations in an Unmagnetized Plasma 190
4.1. Hydrodynamical theory of high-frequency oscillations of an unmagnetized plasma 190
4.2. Kinetic theory of longitudinal plasma oscillations 200
4.3. Kinetic theory of electromagnetic waves in a plasma 217
Chapter 5. Oscillations of a Plasma in a Magnetic Field 230
5.1. Hydrodynamical theory of oscillations of a plasma in a magnetic field 230
5.2. Kinetic theory of plasma oscillations in a magnetic field 244
5.3. Damping of high-frequency electromagnetic waves in a magneto-active plasma 256
5.4. Absorption of Alfvén and fast magneto-sound waves 265
5.5. Low-frequency oscillations of a hot plasma in a magnetic field 272
5.6. Cyclotron waves in a plasma for the case of quasi-transverse propagation 286
5.7. Cyclotron waves in the case of transverse propagation 294
Chapter 6. Interaction Between Charged Particle Beams and a Plasma. Stable and Unstable Particle Distributions in a Plasma 307
6.1. Interaction of charged particle beams with the oscillations of an unmagnetized plasma 307
6.2. Interaction of a charged particle beam with plasma oscillations in a magnetic field 328
6.3. Excitation of electromagnetic waves in a plasma by oscillator beams 344
6.4. Excitation of electromagnetic waves in a plasma by relativistic charged particle beams 352
6.5. General criteria for the stability of particle distributions in a plasma 364
6.6. Absolute and convective instabilities 373
Chapter 7. Oscillations of a Partially Ionized Plasma 393
7.1. Electron distribution fimction and high-frequency electron oscillations in an external electrical field 393
7.2. Ion-sound oscillations in a strong electrical field 402
7.3. Low-frequency oscillations of a partially ionized plasma 406
References 412
Glossary 424
Index 428
Other Titles in the Series in Natural Phylosophy 432

Produkt-Details

• Erscheint lt. Verlag: 22.3.2017
• Sprache: englisch
• Themenwelt: Naturwissenschaften ► Physik / Astronomie ► Mechanik
• Themenwelt: Technik
• ISBN-13: 9781483152158 / 9781483152158