Classical Kinetic Theory of Weakly Turbulent Nonlinear Plasma Processes

Description

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. Cover......Page 1 Front Matter ......Page 3 CLASSICAL KINETIC THEORY OF WEAKLY TURBULENT NONLINEAR PLASMA PROCESSES......Page 5 Copyright ......Page 6 Contents ......Page 7 Preface......Page 11 Part I - Vlasov Weak Turbulence Theory: Electrostatic Approximation ......Page 15 1 Nonlinear Electrostatic Equations for Collisionless Plasmas......Page 17 2 Electrostatic Vlasov Weak Turbulence Theory Wave Kinetic Equation......Page 60 3 Electrostatic Vlasov Weak Turbulence Theory Particle Kinetic Equation......Page 74 Part II - Klimontovich Weak Turbulence Theory: Electrostatic Approximation ......Page 87 4 Electrostatic Klimontovich Weak Turbulence Theory......Page 89 5 Spontaneous Emission and Collisional Kinetic Equation......Page 119 6 Langmuir Turbulence and Electron Kappa Distribution......Page 136 Part III - Vlasov Weak Turbulence Theory: Electromagnetic Formalism ......Page 167 7 Nonlinear Electromagnetic Equations in Vlasov Plasmas......Page 169 8 Electromagnetic Vlasov Weak Turbulence Theory......Page 212 Part IV - Klimontovich Weak Turbulence Theory: Electromagnetic Formalism ......Page 237 9 Electromagnetic Klimontovich Weak Turbulence Theory......Page 239 10 Applications of Electromagnetic Klimontovich Weak Turbulence Theory......Page 282 Epilogue......Page 303 Appendix A. Time Irreversible Small Amplitude Perturbations......Page 305 Appendix B. Resonant Velocity Integral......Page 310 Appendix C. Nonlinear Dispersion Relations......Page 313 Appendix D. Plasma Dispersion Function......Page 323 Appendix E. Weak Turbulence Theory for Reactive Instabilities......Page 327 Appendix F. On Higher-Order Perturbative Expansion......Page 332 Appendix G. On Renormalized Kinetic Turbulence Theory......Page 339 Appendix H. One-Dimensional Normalized Equations......Page 349 References......Page 354 Index......Page 365