Classical Kinetic Theory of Weakly Turbulent Nonlinear Plasma Processes
Cambridge University Press, 9/12/2019
EAN 9781107172005, ISBN10: 1107172004
Hardcover, 362 pages, 25.4 x 17.8 x 2 cm
Language: English
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.
Preface
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.