Title Magnetically Confined Fusion Plasma Physics
Subtitle Ideal MHD Theory
Author Linjin Zheng
ISBN 9781643271354
List price USD 59.95
Price outside India Available on Request
Original price
Binding Paperback
No of pages 154
Book size 178 x 254 mm
Publishing year 2019
Original publisher Morgan & Claypool Publishers (Eurospan Group)
Published in India by .
Exclusive distributors Viva Books Private Limited
Sales territory India, Sri Lanka, Bangladesh, Pakistan, Nepal, .
Status New Arrival
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This book describes the ideal magnetohydrodynamic theory for magnetically conned fusion plasmas. Advanced topics are presented in attempting to fill the gap between the up-to-date research developments and plasma physics textbooks. Nevertheless, they are self-contained and trackable with the mathematical treatments detailed and underlying physics explained. Both analytical theories and numerical schemes are given. Besides the current research developments in this field, the future prospects are also discussed.


Nowadays, it is believed that, if the ideal MHD theory predicts major instabilities, none of the magnetic confinements of fusion plasmas can survive. The author has also written the book Advanced Tokamak Stability Theory. In view of its importance, the MHD theory is further systematically elaborated in this book. The conventional ideal MHD framework is reviewed together with the newly developed multi-parallel-fluid MHD theory. The MHD equilibrium theory and code are described with the non-letter-’X’ separatrix feature pointed out. The continuum modes, quasi-modes, phase mixing, and Alfven resonance heating are analysed. The analytical theories for MHD stability in tokamak configurations are systematically presented, such as the interchange, peeling, ballooning, toroidal Alfven modes, and kink type of modes. The global stability computations are also addressed, including resistive wall modes, error-field amplifications, and Alfven modes, etc.




Author biography

Chapter 1: Fusion energy: concepts and prospects • Nuclear fusion and Lawson’s criterion • Magnetic confinement • Tokamaks • Stellarators • Rotating theta-pinched mirrors • Inertial confinement • References

Chapter 2: Ideal magnetohydrodynamic (MHD) equations and multi-parallel-fluid MHD theory • Moments of the kinetic equation • Continuity equation • Momentum equation • Energy equation • Entropy equation and adiabatic assumption • Ideal MHD equations • Multi-parallel-fluid MHD theory • References

Chapter 3: Magnetohydrodynamic (MHD) equilibrium • Flux coordinates for symmetric system • Grad–Shafranov equation • Green function and free boundary equilibrium • Solovév solution and modification • Local equilibrium near the X-point • Numerical solution of Grad–Shafranov equation: ATEQ code • Mirror equilibrium • References

Chapter 4: Ideal magnetohydrodynamic (MHD) energy principle • Linear ideal MHD energy principle • Energy minimization for localized interchange modes • Energy minimization for high-n modes • Energy principle for tokamak geometry • Plasma energy • Vacuum energy • Energy principle in cylinder model • References

Chapter 5: Magnetohydrodynamic (MHD) mode spectrum in tokamaks • Singular differential equation in the MHD system • Alfvén continuum theory in the real space • Continuum theory in the complex space: quasi-modes • Initial value problem: phase mixing • Inhomogeneous boundary value problem: plasma heating • Tokamak global MHD spectrum • References

Chapter 6: Magnetohydrodynamic (MHD) stability theory in tokamaks • Radially localized modes: Mercier criterion • External radially localized modes: peeling modes • Ballooning modes • Ballooning mode representation and equations • Asymptotic behavior • Steep-pressure-gradient equilibrium model • Toroidal Alfvén eigenmodes (TAEs) • TAE theory in the configuration space • TAE theory in the ballooning representation space • Internal kink type of modes • Configuration space description • Ballooning representation space description • References

Chapter 7: Global magnetohydrodynamic (MHD) stability computation: internal and external modes • Internal modes • External kink modes • Resistive wall modes • Rotation stabilization • Error-field amplification • Alfvén modes • References

Chapter 8: Concluding remarks • References

Appendix A: Derivation of some basic MHD formula • Reference

Appendix B: Acronym list

About the Author:

Linjin Zheng, University of Texas at Austin

Dr. Linjin Zheng is a theoretical physicist for controlled thermonuclear fusion plasmas. He received his PhD from Institute of Physics at the Chinese Academy of Sciences in Beijing. He is currently working at The University of Texas at Austin, Institute for Fusion Studies. His major contributions with his colleagues include the reformulation of gyrokinetic theory, development of the theoretical interpretation for the so-called edge localized modes, invention of the free boundary ballooning representation, discoveries of second toroidal Alfven egenmodes and current interchange tearing modes.


Target Audience:

This book is intended for students and academicians of plasma physics.


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