part IV. Concluding remarks. 11. The beauty and simplicity in controlled fusion research -- Appendix A. Table of integrals and vector formula -- Appendix B. Supplementary derivation of drift kinetic equation -- Appendix C. Acronym list. part I. Introduction. 1. Introduction -- 1.1. Background for controlled thermonuclear fusion researches -- 1.2. From fluid to kinetic descriptions -- 1.3. Scope of the book part II. General theoretical formalism. 2. Charged particle motion in an electromagnetic field -- 2.1. Introduction -- 2.2. Guiding center motion of charged particles -- 2.3. Energy conversion and adiabatic invariants -- 2.4. Conclusions and discussion 3. Lagrangian and Hamiltonian theories of guiding center motion -- 3.1. The Lagrangian and Hamiltonian theories -- 3.2. Guiding center Lagrangian in phase space -- 3.3. Noether's theorem, invariants, and adiabatic invariants -- 3.4. Lie transform perturbation theory -- 3.5. Lie transform theory for guiding center motion -- 3.6. Modification of the Lie transform for describing the guiding center motion -- 3.7. Conclusions and discussion 4. Drift kinetic theory -- 4.1. The drift kinetic equation and its recursive derivation -- 4.2. Kinetic equations in transport time scale -- 4.3. Conclusions and discussion 5. Gyrokinetic theory -- 5.1. Linear gyrokinetic theory -- 5.2. Nonlinear gyrokinetic theory -- 5.3. Lie transform perturbation theory for gyrokinetics -- 5.4. Conclusions and discussion 6. Variational theories in the guiding center description -- 6.1. Lagrangian and Euler descriptions of magnetic perturbations -- 6.2. Energy principle in the guiding center description -- 6.3. Generalized energy principle for energetic particles -- 6.4. Conclusions and discussion part III. Applications : stability analyses. 7. Fundamentals of kinetic analysis of plasma oscillations -- 7.1. The kinetic theory by L Landau -- 7.2. The Case-Van Kampen theory -- 7.3. Nonlinear effects, BGK theory -- 7.4. Conclusions and discussion 8. Electrostatic modes -- 8.1. General theoretical framework -- 8.2. The low frequency regime -- 8.3. The intermediate frequency regime -- 8.4. The comparable frequency regime -- 8.5. Conclusions and discussion 9. Electromagnetic modes -- 9.1. General framework -- 9.2. Kinetic ballooning modes in the low frequency regime -- 9.3. Kinetic ballooning modes in the comparable frequency regime -- 9.4. Kinetic theory in the intermediate frequency regime -- 9.5. Collisional effects -- 9.6. Conclusions and discussion 10. Energetic particle theory -- 10.1. Background : from the rigid current model to kinetic description -- 10.2. Energetic particle effects on ballooning modes -- 10.3. Energetic particle modified Mercier criterion -- 10.4. Energetic particle modes (EPMs) -- 10.5. Fishbone instabilities -- 10.6. Nonlinear theory of kinetic instabilities near threshold -- 10.7. Conclusions and discussion
This is the third volume in a set of books describing state-of-the-art theories and applications of magnetically confined fusion plasmas. This volume presents advanced kinetic theory, aiming to fill the gap between plasma physics textbooks and up-to-date research developments in this field.
Graduate students and researchers in plasma physics.
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Linjin Zheng is a theoretical physicist for controlled thermonuclear fusion plasmas. He received his MS degree from The University of Science and Technology of China and PhD from Institute of Physics - Beijing, Chinese Academy of Sciences.