Akhiezer / Polovin Non-Linear Theory and Fluctuations

Plasma Electrodynamics
1. Auflage 2017
ISBN: 978-1-4831-4807-6
Verlag: Elsevier Science & Techn.
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 320 Seiten, Web PDF

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.

Autoren/Hrsg.

Akhiezer, A. I.

Polovin, R. V.

Inhaltsverzeichnis

1;Front Cover;1
2;Non-Linear Theory and Fluctuations;4
3;Copyright Page;5
4;Table of Contents;6
5;Preface;10
6;Preface to English Edition;16
7;Chapter 8. Non-linear Waves in a Collisionless Plasma;18
7.1;8.1. Non-linear high-frequency waves in a cold plasma;18
7.2;8.2. Non-linear waves in an unmagnetized two-temperature plasma;31
7.3;8.3. Non-linear waves in an unmagnetized non-equilibrium plasma;41
7.4;8.4. Non-linear waves in a magneto-active plasma with hot electrons;52
7.5;8.5. Non-linear low-frequency waves in a cold plasma in a magnetic field;58
8;Chapter 9. Theory of Plasma Oscillations in the Quasi-linear Approximation;64
8.1;9.1. Quasi-linear theory of the oscillations of an unmagnetized plasma;64
8.2;9.2. Quasi-linear theory of the oscillations of a magneto-active plasma;76
9;Chapter 10. Non-linear Wave-Particle Interactions;99
9.1;10.1. Kinetic equations for the waves;99
9.2;10.2. Turbulent processes in which Langmuir waves take part;107
9.3;10.3. Ion-sound turbulence;116
9.4;10.4. Interaction between magneto-sound and Alfvén waves;123
10;Chapter 11. Fluctuations in a Plasma;133
10.1;11.1. Fluctuation-Dissipation relation;133
10.2;11.2. Electromagnetic fluctuations in an equilibrium plasma;139
10.3;11.3. Inversion of the fluctuation-dissipation relation;151
10.4;11.4. Electromagnetic fluctuations in a non-isothermal plasma;156
10.5;11.5. Electromagnetic fluctuations in a non-equilibrium plasma;161
10.6;11.6. Kinetic theory of fluctuations;171
10.7;11.7. Fluctuations in a partially ionized plasma in an external electrical field;187
11;Chapter 12. Scattering and Transformation of Waves in a Plasma;192
11.1;12.1. Scattering of electromagnetic waves in an unmagnetized plasma;192
11.2;12.2. Transformation of transverse and longitudinal waves in a plasma;202
11.3;12.3. Incoherent reflection of electromagnetic waves from a plasma;209
11.4;12.4. Scattering and transformation of waves in a plasma in a magnetic field;214
11.5;12.5. Scattering and transformation of waves in a partially ionized plasma in an external electrical field;224
11.6;12.6. Scattering and transformation of waves in a turbulent plasma;233
11.7;12.7. Echoes in a plasma;240
12;Chapter 13. Scattering of Charged Particles in a Plasma;248
12.1;13.1. The passage of charged particles through an unmagnetized plasma;248
12.2;13.2. Dynamic friction and diffusion coefficients in a plasma;266
12.3;13.3. Passage of charged particles through an equilibrium plasma in a magnetic field;272
12.4;13.4. The interaction of charged particles with a non-equilibrium plasma;281
13;References†;300
14;Glossary;312
15;Index;316