Classical Kinetic Theory of Weakly Turbulent Nonlinear Plasma Processes

Peter H. Yoon

doi:10.1017/9781316771259

Kinetic theory of weakly turbulent nonlinear processes in plasma helped form the foundation of modern plasma physics. This book provides a systematic overview of the kinetic theory of weak plasma turbulence from a modern perspective. It covers the fundamentals of weak turbulence theory, including the foundational concepts and the mathematical and technical details. Some key obstacles to space plasma applications are also covered, including the origin of non-thermal charged particle population, and radio burst phenomena from the sun. Treating both collective and discrete particle effects, the book provides a valuable reference for researchers looking to familiarize themselves with plasma weak turbulence theory.

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Contents

Frontmatter
pp i-iv
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Contents
pp v-viii
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Preface
pp ix-xii
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Part I - Vlasov Weak Turbulence Theory: Electrostatic Approximation
pp 1-2
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1 - Nonlinear Electrostatic Equations for Collisionless Plasmas
pp 3-45
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2 - Electrostatic Vlasov Weak Turbulence Theory: Wave Kinetic Equation
pp 46-59
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3 - Electrostatic Vlasov Weak Turbulence Theory: Particle Kinetic Equation
pp 60-72
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Part II - Klimontovich Weak Turbulence Theory: Electrostatic Approximation
pp 73-74
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4 - Electrostatic Klimontovich Weak Turbulence Theory
pp 75-104
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5 - Spontaneous Emission and Collisional Kinetic Equation
pp 105-121
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6 - Langmuir Turbulence and Electron Kappa Distribution
pp 122-152
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Part III - Vlasov Weak Turbulence Theory: Electromagnetic Formalism
pp 153-154
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7 - Nonlinear Electromagnetic Equations in Vlasov Plasmas
pp 155-197
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8 - Electromagnetic Vlasov Weak Turbulence Theory
pp 198-222
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Part IV - Klimontovich Weak Turbulence Theory: Electromagnetic Formalism
pp 223-224
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9 - Electromagnetic Klimontovich Weak Turbulence Theory
pp 225-267
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10 - Applications of Electromagnetic Klimontovich Weak Turbulence Theory
pp 268-288
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Epilogue
pp 289-290
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Appendix A - Time Irreversible Small Amplitude Perturbations
pp 291-295
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Appendix B - Resonant Velocity Integral
pp 296-298
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Appendix C - Nonlinear Dispersion Relations
pp 299-308
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Appendix D - Plasma Dispersion Function
pp 309-312
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Appendix E - Weak Turbulence Theory for Reactive Instabilities
pp 313-317
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Appendix F - On Higher-Order Perturbative Expansion
pp 318-324
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Appendix G - On Renormalized Kinetic Turbulence Theory
pp 325-334
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Appendix H - One-Dimensional Normalized Equations
pp 335-339
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References
pp 340-350
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Index
pp 351-352
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Classical Kinetic Theory of Weakly Turbulent Nonlinear Plasma Processes

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Contents

Frontmatter
pp i-iv

Contents
pp v-viii

Preface
pp ix-xii

Part I - Vlasov Weak Turbulence Theory: Electrostatic Approximation
pp 1-2

1 - Nonlinear Electrostatic Equations for Collisionless Plasmas
pp 3-45

2 - Electrostatic Vlasov Weak Turbulence Theory: Wave Kinetic Equation
pp 46-59

3 - Electrostatic Vlasov Weak Turbulence Theory: Particle Kinetic Equation
pp 60-72

Part II - Klimontovich Weak Turbulence Theory: Electrostatic Approximation
pp 73-74

4 - Electrostatic Klimontovich Weak Turbulence Theory
pp 75-104

5 - Spontaneous Emission and Collisional Kinetic Equation
pp 105-121

6 - Langmuir Turbulence and Electron Kappa Distribution
pp 122-152

Part III - Vlasov Weak Turbulence Theory: Electromagnetic Formalism
pp 153-154

7 - Nonlinear Electromagnetic Equations in Vlasov Plasmas
pp 155-197

8 - Electromagnetic Vlasov Weak Turbulence Theory
pp 198-222

Part IV - Klimontovich Weak Turbulence Theory: Electromagnetic Formalism
pp 223-224

9 - Electromagnetic Klimontovich Weak Turbulence Theory
pp 225-267

10 - Applications of Electromagnetic Klimontovich Weak Turbulence Theory
pp 268-288

Epilogue
pp 289-290

Appendix A - Time Irreversible Small Amplitude Perturbations
pp 291-295

Appendix B - Resonant Velocity Integral
pp 296-298

Appendix C - Nonlinear Dispersion Relations
pp 299-308

Appendix D - Plasma Dispersion Function
pp 309-312

Appendix E - Weak Turbulence Theory for Reactive Instabilities
pp 313-317

Appendix F - On Higher-Order Perturbative Expansion
pp 318-324

Appendix G - On Renormalized Kinetic Turbulence Theory
pp 325-334

Appendix H - One-Dimensional Normalized Equations
pp 335-339

References
pp 340-350

Index
pp 351-352

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