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
Table of Content
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
About the author
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 Ph D from Institute of Physics – Beijing, Chinese Academy of Sciences. He is currently a research scientist at Institute for Fusion Studies, The University of Texas at Austin. He has published more than one hundred scientific papers, and edited one and authored three books. His research covers ideal/resistive magnetohydrodynamics, two-fluid, and kinetic theories for both equilibrium and stability. His major contributions with his colleagues include the reformulation of gyrokinetic theory, the development of the perpendicular magnetofluid theory, the theoretical interpretation for the so-called edge localized modes, the invention of the free boundary ballooning representation, the discoveries of second toroidal Alfven eigenmodes and the current interchange tearing modes, etc. With his colleagues, he also developed the tokamak equilibrium code ATEQ and stability codes AEGIS and AEGIS-K.
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