Description
Book SynopsisKinetic 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.
Table of ContentsPreface; Part I. Vlasov Weak Turbulence Theory: Electrostatic Approximation: 1. Nonlinear electrostatic equations for collisionless plasmas; 2. Electrostatic Vlasov weak turbulence theory: wave kinetic equation; 3. Electrostatic Vlasov weak turbulence theory: particle kinetic equation; Part II. Klimontovich Weak Turbulence Theory: Electrostatic Approximation: 4. Electrostatic Klimontovich weak turbulence theory; 5. Spontaneous emission and collisional kinetic equation; 6. Langmuir turbulence and electron Kappa distribution; Part III. Vlasov Weak Turbulence Theory: Electromagnetic Formalism: 7. Nonlinear electromagnetic equations in Vlasov plasmas; 8. Electromagnetic Vlasov weak turbulence theory; Part IV. Klimontovich Weak Turbulence Theory: Electromagnetic Formalism: 9. Electromagnetic Klimontovich weak turbulence theory; 10. Applications of EM Klimontovich weak turbulence theory; Epilogue; Appendix A. Time irreversible small amplitude perturbations; Appendix B. Resonant velocity integral; Appendix C. Nonlinear dispersion relations; Appendix D. Plasma dispersion function; Appendix E. Weak turbulence theory for reactive instabilities; Appendix F. On higher order perturbative expansion; Appendix G. On renormalized kinetic turbulence theory; Appendix H. One-dimensional normalized equations; References; Index.
