A comprehensive textbook on the foundational principles of plasmas, including material on advanced topics and related disciplines such as optics, fluid dynamics, and astrophysics
Foundations of Plasma Physics for Physicists and Mathematicians covers the basic physics underlying plasmas and describes the methodology and techniques used in both plasma research and other disciplines such as optics and fluid mechanics. Designed to help readers develop physical understanding and mathematical competence in the subject, this rigorous textbook discusses the underlying theoretical foundations of plasma physics as well as a range of specific problems, focused on those principally associated with fusion.
Reflective of the development of plasma physics, the text first introduces readers to the collective and collisional behaviors of plasma, the single particle model, wave propagation, the kinetic effects of gases and plasma, and other foundational concepts and principles. Subsequent chapters cover topics including the hydrodynamic limit of plasma, ideal magneto-hydrodynamics, waves in MHD plasmas, magnetically confined plasma, and waves in magnetized hot and cold plasma. Written by an acknowledged expert with more than five decades’ active research experience in the field, this authoritative text:
* Identifies and emphasizes the similarities and differences between plasmas and fluids
* Describes the different types of interparticle forces that influence the collective behavior of plasma
* Demonstrates and stresses the importance of coherent and collective effects in plasma
* Contains an introduction to interactions between laser beams and plasma
* Includes supplementary sections on the basic models of low temperature plasma and the theory of complex variables and Laplace transforms
Foundations of Plasma Physics for Physicists and Mathematicians is the ideal textbook for advanced undergraduate and graduate students in plasma physics, and a valuable compendium for physicists working in plasma physics and fluid mechanics.
Table of Content
Preface xii
1 Introduction – Collective Behaviour 1
2 Introduction – Collisional Behaviour
3 Single Particle Motion – Guiding Centre Model 52
4 Kinetic Theory of Gases 80
5 Wave Propagation in Inhomogeneous, Dispersive Media 105
6 Collisionless Plasma Models 129
7 Kinetic Theory of Plasmas 139
8 The Hydrodynamic Limit for Plasma 170
9 Ideal Magnetohydrodynamics 213
10 Waves in MHD Fluids 223
11 Waves in Cold Magnetised Plasma 254
12 Waves in Magnetised Warm Plasma 270
13 Properties of Electro-magnetic Waves in Plasma 320
14 Laser-Plasma Interaction 357
15 Magnetically Confined Plasma 382
16 Instability of an Equilibrium Confined Plasma 422
About the author
Geoffrey J. Pert is Emeritus Professor, Department of Physics, University of York, UK. He has continuously been involved in research in plasma physics, primarily the interaction of high-power lasers with materials, since first studying the subject as a research student in the 1960’s. Professor Pert is a Fellow of the Royal Society and has published more than 200 papers in scientific research journals. He is the author of Introduction to Fluid Mechanics and the co-author of An Introduction to Computer Simulation.