Non-Linear Theory and Fluctuations
Plasma Electrodynamics
Published on 22. March 2017
320 pages
978-1-4831-4807-6 (ISBN)
Description
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.
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Content
PrefacePreface to English EditionChapter 8. Non-Linear Waves in a Collisionless Plasma 8.1. Non-Linear High-Frequency Waves in a Cold Plasma 8.1.1. Non-Linear Non-Relativistic Langmuir Oscillations 8.1.2. Equations Describing Non-Linear Waves in a Relativistic Plasma when there are no Thermal Effects 8.1.3. Longitudinal Waves in a Relativistic Plasma 8.1.4. Transverse Waves in a Relativistic Plasma 8.1.5. Coupled Longitudinal-Transverse Waves in a Relativistic Plasma 8.2. Non-linear Waves in an Unmagnetized Two-Temperature Plasma 8.2.1. Equations Describing a Non-Linear Wave in a Quasi-Equilibrium Plasma 8.2.2. Simple (Riemann) Waves 8.2.3. Periodic and Solitary Waves 8.2.4. Quasi-Shock Waves 8.3. Non-Linear Waves in an Unmagnetized Non-Equilibrium Plasma 8.3.1. Equations Describing a Non-Linear Wave in a Non-Equilibrium Plasma 8.3.2. Simple Waves 8.3.3. Stationary Waves 8.3.4. Multiple-Current Flow in a Non-Equilibrium Plasma 8.4. Non-Linear Waves in a Magneto-Active Plasma with Hot Electrons 8.4.1. Equations Describing a Non-Linear Wave in a Plasma in a Magnetic Field 8.4.2. Simple Magneto-Sound Waves 8.4.3. Stationary Magneto-Sound Waves 8.5. Non-Linear Low-Frequency Waves in a Cold Plasma in a Magnetic Field 8.5.1. Equations Describing a Non-Linear Wave in a Cold Magneto-Active Plasma 8.5.2. Non-Linear Waves for the Case of a Strong Magnetic Field 8.5.3. Non-Linear Waves in the Case of a Weak Magnetic FieldChapter 9. Theory of Plasma Oscillations in the Quasi-Linear Approximation 9.1. Quasi-Linear Theory of the Oscillations of an Unmagnetized Plasma 9.1.1. The Quasi-Linear Approximation 9.1.2. Quasi-Linear Relaxation 9.1.3. Relaxation of One-Dimensional Wavepackets 9.1.4. Effect of the Coulomb Collisions on the Quasi-Linear Relaxation and Landau Damping of the Langmuir Oscillations 9.2. Quasi-Linear Theory of the Oscillations of a Magneto-Active Plasma 9.2.1. Basic Equations 9.2.2. Quasi-Linear Relaxation in a Magneto-Active Plasma 9.2.3. Relaxation of One-Dimensional Wavepackets in a Magneto-Active Plasma 9.2.4. Effect of Collisions on Quasi-Linear Relaxation and Cherenkov and Cyclotron Damping of OscillationsChapter 10. Non-Linear Wave-Particle Interactions 10.1. Kinetic Equations for the Waves 10.1.1. Non-Linear Equations for the Wave Amplitude 10.1.2. Equation for the Correlation Function 10.1.3. Three-Wave Processes and Non-Linear Landau Damping 10.2. Turbulent Processes in which Langmuir Waves Take Part 10.2.1. Interaction Between Langmuir Waves and Ion-Sound Waves 10.2.2. Decay Instability of Langmuir Waves 10.2.3. Non-Linear Damping of Langmuir Waves 10.3. Ion-Sound Turbulence 10.3.1. Non-Linear Damping of Ion Sound 10.3.2. Stationary Distributions of Turbulent Waves 10.4. Interaction Between Magneto-Sound and Alfvén Waves 10.4.1. The Collision Integral and the H-Theorem for the Gas of Plasmons 10.4.2. The Hamiltonian of a System of Plasmons 10.4.3. Probabilities for Three-Plasmon Processes 10.4.4. Plasmon LifetimesChapter 11. Fluctuations in a Plasma 11.1. Fluctuation-Dissipation Relation 11.1.1. Space-Time Correlation Functions 11.1.2. The Spectral Density of Fluctuations and the Energy Dissipation in a Medium 11.1.3. Symmetry of the Response Tensor 11.2. Electromagnetic Fluctuations in an Equilibrium Plasma 11.2.1. Electromagnetic Fluctuations in Media with Space-Time Dispersion 11.2.2. Electromagnetic Fluctuations in an Isotropic Plasma 11.2.3. Charge Density Fluctuations 11.2.4. Current density Fluctuations 11.2.5.
