An Introduction to the Theory of Plasma Turbulence

International Series of Monographs in Natural Philosophy

1st Edition - January 1, 1972
Author: V. N. Tsytovich
Editor: D. Ter Haar
Language: English
eBook ISBN:
9 7 8 - 1 - 4 8 3 1 - 3 9 9 2 - 0

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… Read more

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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.

Note by Series Editor

1. Comparison of Plasma and Liquid Turbulence

2. General Problems of the Theory of Plasma Turbulence

2.1. Excitation of the Turbulent State

2.2. Description of Weak Turbulence by the Concept of "Elementary Excitations"

2.3. Problems of Correlation Broadening

2.4. Problems of Stationary Turbulent Spectra

2.5. The Electromagnetic Properties of a Stationary Turbulent Plasma

3. The Balance Equation for a Turbulent Plasma

3.1. The Refractive Index for Waves

3.2. Quasi-linear Equations

3.3. The Probabilities for Plasmon Emission

3.4. The Case of Non-magnetic Particles

3.5. Examples of the Quasi-linear Equations

3.6. Non-linear Plasmon-Plasmon Interactions

3.7. Non-linear Plasmon-Particle Interactions

4. Turbulent Collisions and Resonance Broadening

4.1. The Balance Equation found by Statistical Averaging

4.2. Turbulent Broadening of the Wave-particle Resonance

4.3. Broadening of the Wave-Wave Interactions and Correlation Functions in a Turbulent Plasma

5. The Spectrum and Correlation Functions of Ion-sound Turbulence

5.1. Introduction

5.2. The Influence of the Turbulent Collisions

5.3. The Electron Ion-sound Non-linear Interactions

5.4. The Wave-Wave Interaction of Ion-sound Oscillations

5.5. The Anomalous Resistivity of the Plasma

6. The Spectrum and Correlation Functions of Langmuir Turbulence

6.1. The Spectrum of Small-scale Langmuir Turbulence

6.2. The Spectrum of Langmuir Turbulence in the Intermediate - Scale Region

6.3. The Spectrum of Langmuir Turbulence in the Large Scale Region

6.4. The Spectrum of Langmuir Turbulence in a Non-isothermal Plasma

6.5. The Radiative Type of Langmuir Turbulence Spectra

6.6. Stochastic Plasma Heating in the Case of Langmuir Turbulence

6.7. Stochastic Acceleration of Fast Particles

6.8. Correlation Effects for Langmuir Oscillations

7. Electromagnetic Properties of a Turbulent Plasma

7.1. Expansion of Turbulent Collision Integrals in Terms of the Turbulent Energy

7.2. Effects of Turbulent Resonance Broadening

7.3. The Dielectric Constant for Ion-sound Turbulence

7.4. Electromagnetic Properties of Langmuir Turbulence

8. The Cosmic-ray Spectrum

8.1. Energy-dependence of the Acceleration Rate

8.2. Energy-dependence of Resonant Wave-particle Interactions

8.3. Acceleration by Low-frequency Turbulence

8.4. Acceleration by High-frequency Turbulent Oscillations

Conclusions

References

Index