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Magnetically confined fusion plasma physics. Volume 3, Kinetic theory / Linjin Zheng.

By: Zheng, Linjin [author.].
Contributor(s): Institute of Physics (Great Britain) [publisher.].
Material type: materialTypeLabelBookSeries: IOP (Series)Release 22: ; IOP ebooks2022 collection: Publisher: Bristol [England] (Temple Circus, Temple Way, Bristol BS1 6HG, UK) : IOP Publishing, [2022]Description: 1 online resource (various pagings) : illustrations (some color).Content type: text Media type: electronic Carrier type: online resourceISBN: 9780750337793; 9780750337786.Subject(s): Plasma confinement | Plasma (Ionized gases) | Nuclear fusion | Plasma physics | SCIENCE / Physics / Atomic & MolecularAdditional physical formats: Print version:: No titleDDC classification: 621.48/4 Online resources: Click here to access online Also available in print.
Contents:
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
Abstract: 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.
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"Version: 20221201"--Title page verso.

Includes bibliographical references.

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.

Also available in print.

Mode of access: World Wide Web.

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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.

Title from PDF title page (viewed on January 9, 2023).

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