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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. Due to the complexity of magnetic confinement geometry, kinetic theory for fusion plasmas is also inherently complex. This requires in-depth physical considerations and skilled mathematical treatments. Guiding center theory, drift kinetic theory, gyrokinetic theory, as well as kinetic variational principles are thoroughly reviewed. Applications of these theories to fusion plasma research are also described. This book will appeal to graduate students and researchers in plasma physics.
Key Features:
- The first book to fully focus on advanced kinetic theory for magnetically confined fusion plasmas
- Fills the gap between existing textbooks and cutting-edge research in plasma physics
- Self-contained, covering advanced theory with detailed mathematical treatments
I Introduction
1 Introduction
II General theoretical formalism
2 Charged particle motion in a electromagnetic field
3 Lagrangian and Hamiltonian theories of guiding center motion
4 Drift kinetic theory
5 Gyrokinetic theory
6 Variational theories in the guiding center description
III Applications: Stability analyses
7 Fundamentals of kinetic analysis of plasma oscillations
8 Electrostatic modes
9 Electromagnetic modes
10 Energetic particle theory
IV Concluding remarks
11 The beauty and simplicity in controlled fusion research