Non-Linear Theory and Fluctuations (eBook)

Plasma Electrodynamics

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

eBook Download: PDF

2017 | 1. Auflage
320 Seiten
Elsevier Science (Verlag)
9781483148076 (ISBN)

Infos

Plasma Electrodynamics, Volume 2: Non-Linear Theory and Fluctuations deals with the theory of nonlinear waves in a collisionless plasma, including the quasilinear theory, the theory of plasma turbulence, and the theory of electromagnetic fluctuations in a plasma. Topics covered range from nonlinear high-frequency waves in a cold plasma to the theory of plasma oscillations in the quasilinear approximation. Nonlinear wave-particle interactions are also discussed, along with scattering and transformation of waves in a plasma. Comprised of six chapters, this volume begins with a study of nonlinear waves in a collisionless plasma, focusing on nonlinear high-frequency waves in a cold plasma; Langmuir waves in a non-relativistic plasma; and longitudinal, transverse, and coupled longitudinal-transverse waves in a relativistic plasma. After expounding on the quasilinear theory, which describes the effects of the first approximation in terms of the plasma wave energy, the nonlinear interaction of waves and particles is considered. The last three chapters explore the theory of electromagnetic fluctuations in a plasma; the theory of scattering processes and the transformation of waves in a plasma; and the scattering of charged particles in a plasma. The polarization energy losses when charged particles move in a plasma are calculated. This book will be of interest to physicists.

Inhalt

Front Cover 1
Non-Linear Theory and Fluctuations 4
Copyright Page 5
Table of Contents 6
Preface 10
Preface to English Edition 16
Chapter 8. Non-linear Waves in a Collisionless Plasma 18
8.1. Non-linear high-frequency waves in a cold plasma 18
8.2. Non-linear waves in an unmagnetized two-temperature plasma 31
8.3. Non-linear waves in an unmagnetized non-equilibrium plasma 41
8.4. Non-linear waves in a magneto-active plasma with hot electrons 52
8.5. Non-linear low-frequency waves in a cold plasma in a magnetic field 58
Chapter 9. Theory of Plasma Oscillations in the Quasi-linear Approximation 64
9.1. Quasi-linear theory of the oscillations of an unmagnetized plasma 64
9.2. Quasi-linear theory of the oscillations of a magneto-active plasma 76
Chapter 10. Non-linear Wave-Particle Interactions 99
10.1. Kinetic equations for the waves 99
10.2. Turbulent processes in which Langmuir waves take part 107
10.3. Ion-sound turbulence 116
10.4. Interaction between magneto-sound and Alfvén waves 123
Chapter 11. Fluctuations in a Plasma 133
11.1. Fluctuation-Dissipation relation 133
11.2. Electromagnetic fluctuations in an equilibrium plasma 139
11.3. Inversion of the fluctuation-dissipation relation 151
11.4. Electromagnetic fluctuations in a non-isothermal plasma 156
11.5. Electromagnetic fluctuations in a non-equilibrium plasma 161
11.6. Kinetic theory of fluctuations 171
11.7. Fluctuations in a partially ionized plasma in an external electrical field 187
Chapter 12. Scattering and Transformation of Waves in a Plasma 192
12.1. Scattering of electromagnetic waves in an unmagnetized plasma 192
12.2. Transformation of transverse and longitudinal waves in a plasma 202
12.3. Incoherent reflection of electromagnetic waves from a plasma 209
12.4. Scattering and transformation of waves in a plasma in a magnetic field 214
12.5. Scattering and transformation of waves in a partially ionized plasma in an external electrical field 224
12.6. Scattering and transformation of waves in a turbulent plasma 233
12.7. Echoes in a plasma 240
Chapter 13. Scattering of Charged Particles in a Plasma 248
13.1. The passage of charged particles through an unmagnetized plasma 248
13.2. Dynamic friction and diffusion coefficients in a plasma 266
13.3. Passage of charged particles through an equilibrium plasma in a magnetic field 272
13.4. The interaction of charged particles with a non-equilibrium plasma 281
References† 300
Glossary 312
Index 316

Produkt-Details

• Erscheint lt. Verlag: 22.3.2017
• Sprache: englisch
• Themenwelt: Naturwissenschaften ► Physik / Astronomie ► Mechanik
• Themenwelt: Technik
• ISBN-13: 9781483148076 / 9781483148076