Introduction to the Theory of Plasma Turbulence -  V. N. Tsytovich

Introduction to the Theory of Plasma Turbulence (eBook)

International Series of Monographs in Natural Philosophy

(Autor)

D. ter Haar (Herausgeber)

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2016 | 1. Auflage
144 Seiten
Elsevier Science (Verlag)
978-1-4831-3992-0 (ISBN)
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An Introduction to the Theory of Plasma Turbulence is a collection of lectures given by the author at Culham laboratory. The book deals with developments on the theory of plasma turbulence. The author describes plasma properties in the turbulent regions as mostly non-linear in nature, and notes that these properties can be regarded as a universal spectrum independent of any type of instability. The text then discusses the general problems of the theory of plasma turbulence. The author also shows that elementary excitation of ''dressed'' particles have a finite lifetime associated with non-linear interactions. The book then discusses the excitation of ion-sound turbulence using different processes, for example, shock waves; the text also analyzes the kind of non-linear interactions present in such energy transfer. The author also explains the Langmuir plasma oscillations - a typical collective plasma motion that can be excited using different types of mechanism such as an electron beam. The book then describes the electromagnetic properties of turbulent plasma and relates the state of turbulent plasma as a natural occurrence in the universe. The book notes the problem of cosmic rays, not as an energy transfer to faster particles, but as an energy distribution between particles. The text will prove valuable for nuclear physicists, scientists, and academicians in the field of quantum mechanics.
An Introduction to the Theory of Plasma Turbulence is a collection of lectures given by the author at Culham laboratory. The book deals with developments on the theory of plasma turbulence. The author describes plasma properties in the turbulent regions as mostly non-linear in nature, and notes that these properties can be regarded as a universal spectrum independent of any type of instability. The text then discusses the general problems of the theory of plasma turbulence. The author also shows that elementary excitation of "e;"e;dressed"e;"e; particles have a finite lifetime associated with non-linear interactions. The book then discusses the excitation of ion-sound turbulence using different processes, for example, shock waves; the text also analyzes the kind of non-linear interactions present in such energy transfer. The author also explains the Langmuir plasma oscillations - a typical collective plasma motion that can be excited using different types of mechanism such as an electron beam. The book then describes the electromagnetic properties of turbulent plasma and relates the state of turbulent plasma as a natural occurrence in the universe. The book notes the problem of cosmic rays, not as an energy transfer to faster particles, but as an energy distribution between particles. The text will prove valuable for nuclear physicists, scientists, and academicians in the field of quantum mechanics.

Front Cover 1
An Interoduction to the Theory of Plasma Turbulence 4
Copyright Page 5
Table of Content 
6 
Note by Series Editor 8
Chapter 
10 
Chapter 
23 
2.1. Excitation of the Turbulent State 23
2.2. Description of Weak Turbulence by the Concept of "Elementary Excitations" 26
2.3. Problems of Correlation Broadening 31
2.4. Problems of Stationary Turbulent Spectra 33
2.5. The Electromagnetic Properties of a Stationary Turbulent Plasma 35
Chapter 3. The Balance Equation for a Turbulent Plasma 36
3.1. The Refractive Index for Waves 36
3.2. Quasi-linear Equations 38
3.3. The Probabilities for Plasmon Emission 41
3.4. The Case of Non-magnetic Particles 44
3.5. Examples of the Quasi-linear Equations 45
3.6. Non-linear Plasmon-Plasmon Interactions 46
3.7. Non-linear Plasmon-Particle Interactions 48
Chapter 
53 
4.1. The Balance Equation found by Statistical Averaging 54
4.2. Turbulent Broadening of the Wave-particle Resonance 62
4.3. Broadening of the Wave-Wave Interactions and Correlation Functions in a Turbulent Plasma 67
Chapter 5. The Spectrum and Correlation Functions of Ion-sound Turbulence 71
5.1. Introduction 71
5.2. The Influence of the Turbulent Collisions 74
5.3. The Electron Ion-sound Non-linear Interactions 75
5.4. The Wave-Wave Interaction of Ion-sound Oscillations 78
5.5. The Anomalous Resistivity of the Plasma 79
Chapter 6. The Spectrum and Correlation Functions of Langmuir Turbulence 83
6.1. The Spectrum of Small-scale Langmuir Turbulence 85
6.2. The Spectrum of Langmuir Turbulence in the Intermediate-scale Region 86
6.3. The Spectrum of Langmuir Turbulence in the Large-scale Region 88
6.4. The Spectrum of Langmuir Turbulence in a Non-isothermal Plasma 91
6.5. The Radiative Type of Langmuir Turbulence Spectra 92
6.6. Stochastic Plasma Heating in the Case of Langmuir Turbulence 96
6.7. Stochastic Acceleration of Fast Particles 97
6.8. Correlation Effects for Langmuir Oscillations 100
Chapter 7. Electromagnetic Properties of a Turbulent Plasma 102
7.1. Expansion of Turbulent Collision Integrals in Terms of the Turbulent Energy 104
7.2. Effects of Turbulent Resonance Broadening 108
7.3. The Dielectric Constant for Ion-sound Turbulence 108
7.4. Electromagnetic Properties of Langmuir Turbulence 110
Chapter 8. The Cosmic-ray Spectrum 114
8.1. Energy-dependence of the Acceleration Rate 115
8.2. Energy-dependence of Resonant Wave-particle Interactions 118
8.3. Acceleration by Low-frequency Turbulence 120
8.4. Acceleration by High-frequency Turbulent Oscillations 126
Conclusions 137
References 139
Index 142

Erscheint lt. Verlag 29.7.2016
Sprache englisch
Themenwelt Naturwissenschaften Physik / Astronomie Mechanik
Sozialwissenschaften Politik / Verwaltung
ISBN-10 1-4831-3992-1 / 1483139921
ISBN-13 978-1-4831-3992-0 / 9781483139920
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