Plasma Physics
An Introduction
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Book Description
Encompasses the Lectured Works of a Renowned Expert in the Field
Plasma Physics: An Introduction is based on a series of university course lectures by a leading name in the field, and thoroughly covers the physics of the fourth state of matter. This book looks at nonrelativistic, fully ionized, nondegenerate, quasineutral, and weakly coupled plasma. Intended for the student market, the text provides a concise and cohesive introduction to plasma physics theory, and offers a solid foundation for students wishing to take higher level courses in plasma physics.
Mathematically Rigorous, but Driven by Physics
This work contains over 80 exercises—carefully selected for their pedagogical value—with fully worked out solutions available in a separate solutions manual for professors. The author provides an indepth discussion of the various fluid theories typically used in plasma physics. The material presents a number of applications, and works through specific topics including basic plasma parameters, the theory of charged particle motion in inhomogeneous electromagnetic fields, plasma fluid theory, electromagnetic waves in cold plasmas, electromagnetic wave propagation through inhomogeneous plasmas, magnetohydrodynamical fluid theory, and kinetic theory.
 Discusses fluid theory illustrated by the investigation of Langmuir sheaths
 Explores charged particle motion illustrated by the investigation of charged particle trapping in the earth’s magnetosphere
 Examines the WKB theory illustrated by the investigation of radio wave propagation in the earth’s ionosphere
 Studies the MHD theory illustrated by the investigation of solar wind, dynamo theory, magnetic reconnection, and MHD shocks
Plasma Physics: An Introduction addresses applied areas and advanced topics in the study of plasma physics, and specifically demonstrates the behavior of ionized gas.
Table of Contents
Introduction
What is Plasma?
Brief History of Plasma Physics
Fundamental Parameters
Plasma Frequency
Debye Shielding
Plasma Parameter
Collisions
Magnetized Plasmas
Plasma Beta
DeBroglie Wavelength
Exercises
Charged Particle Motion
Introduction
Motion in Uniform Fields
Method of Averaging
Guiding Center Motion
Magnetic Drifts
Invariance of Magnetic Moment
Poincar´e Invariants
Adiabatic Invariants
Magnetic Mirrors
Van Allen Radiation Belts
Equatorial Ring Current
Second Adiabatic Invariant
Third Adiabatic Invariant
Motion in Oscillating Fields
Exercises
Collisions
Introduction
Collision Operator
TwoBody Elastic Collisions
Boltzmann Collision Operator
Collisional Conservation Laws
Boltzmann HTheorem
TwoBody Coulomb Collisions
Rutherford Scattering CrossSection
Landau Collision Operator
Coulomb Logarithm
Rosenbluth Potentials
Collision Times
Exercises
Plasma Fluid Theory
Introduction
Moments of Distribution Function
Moments of Collision Operator
Moments of Kinetic Equation
Fluid Equations
Entropy Production
Fluid Closure
ChapmanEnskog Closure
Normalization of Neutral Gas Equations
Braginskii Equations
Normalization of Braginskii Equations
ColdPlasma Equations
MHD Equations
Drift Equations
Closure in Collisionless Magnetized Plasmas
Langmuir Sheaths
Exercises
Waves in Cold Plasmas
Introduction
Plane Waves in homogeneous Plasmas
ColdPlasma Dielectric Permittivity
ColdPlasma Dispersion Relation
Wave Polarization
Cutoff and Resonance
Waves in Unmagnetized Plasmas
LowFrequency Wave Propagation
Parallel Wave Propagation
Perpendicular Wave Propagation
Exercises
Wave Propagation Through Inhomogeneous Plasmas
Introduction
WKB Solutions
Cutoffs
Resonances
Resonant Layers
Collisional Damping
Pulse Propagation
Ray Tracing
Ionospheric Radio Wave Propagation
Exercises
Magnetohydrodynamic Fluids
Introduction
Magnetic Pressure
Flux Freezing
MHD Waves
Solar Wind
Parker Model of Solar Wind
Interplanetary Magnetic Field
Mass and Angular Momentum Loss
MHD Dynamo Theory
Homopolar Disk Dynamo
Slow and Fast Dynamos
Cowling AntiDynamo Theorem
Ponomarenko Dynamo
Magnetic Reconnection
Linear Tearing Mode Theory
Nonlinear Tearing Mode Theory
Fast Magnetic Reconnection
MHD Shocks
Parallel MHD Shocks
Perpendicular MHD Shocks
Oblique MHD Shocks
Exercises
Waves in Warm Plasmas
Introduction
Landau Damping
Physics of Landau Damping
Plasma Dispersion Function
Ion Acoustic Waves
Waves in Magnetized Plasmas
Parallel Wave Propagation
Perpendicular Wave Propagation
Electrostatic Waves
VelocitySpace Instabilities
CounterPropagating Beam Instability
CurrentDriven Ion Acoustic Instability
Harris Instability
Exercises
Bibliography
Index
Author(s)
Biography
Richard Fitzpatrick is a Professor of Physics at the University of Texas at Austin, where he has been a faculty member since 1994. He is a member of the Royal Astronomical Society, a fellow of the American Physical Society, and the author of Maxwell’s Equations and the Principles of Electromagnetism (2008), An Introduction to Celestial Mechanics (2012), and Oscillations and Waves: An Introduction (2013). He earned a Master’s degree in physics from the University of Cambridge and a DPhil in astronomy from the University of Sussex.
Reviews
"[This] book is a textbook treating plasma physics in its breadth, on an introductory level, however focusing on the by far most common form of plasma, which is the ‘fully ionised, nonrelativistic, nondegenerate, quasineutral and weakly coupled plasma’…The present book is intended to accompany a graduatelevel course on plasma physics, giving appropriate endofchapter problems (with a solutions manual available for teachers)… The text is nicely structured into short sections, treating the topic with full mathematical rigour and with references to scientific publications. It assumes an understanding of classical mechanics, electrodynamics, waves and oscillations, integral and differential calculus, vector fields, complex analysis, and Fourier and Laplace transforms.
The overall text is rather concise (290 pages with 36 blackandwhite illustrations) and the topics are well chosen for such a brief introduction...the book deserves a recommendation as a companion for an introductory course in the subject."
—Manuel Vogel, GSI Darmstadt, in Contemporary Physics (Vol. 57, No. 4)"In recent years, graduate and advanced undergraduate students with a suitable background in classical mechanics and electromagnetic theory have had the luxury of choosing between several very good textbooks that present the core principles of plasma physics. In that crowded field, Richard Fitzpatrick’s Plasma Physics: An Introduction distinguishes itself by its excellence. For those of us who have admired Fitzpatrick for his seminal contributions to the subject of magnetohydrodynamic (MHD) instabilities in fusion plasmas, his book is as much a source of pleasure as his papers are for their clarity and rigor. … the book has some unique features that make it especially attractive to both students and researchers. Examples include systematic and readable accounts of the Braginskii equations and the Chapman–Enskog method for weakly collisional plasmas. Nice physical explanations for the transport effects that emerge from the baroque complexity of orderings and expansions will help students see the forest for the trees. … an excellent and compact textbook—complete with problem sets and references—that has earned a permanent place on my bookshelf. Thanks to the several useful and wellpresented topics, I would expect the book to endure as a standard text in colleges and universities all over the world."
—Physics Today, July 2015"Certainly we are not short of introductory textbooks for plasma physics, but I endorse this new one since it stands out for a couple of good reasons. First, this book provides broad background materials without targeting one particular area of applications of plasma physics. This is not the case for most of the available plasma physics books on the market. … writing such a book is certainly not an easy task as most authors are brought up to their status by practicing one particular application.
Second, the book goes into fine details of the stepbystep derivations, which is very valuable for students wanting to work through the process. … Finally, it contains a rich set of realworld examples for applications of introductory plasma physics. A good example of such is Van Allen radiation belts mentioned in Chapter 2: Charged Particle Motion. It is just amazing to see how much physics insights we can gain about these complicated space plasma physics phenomena through simple charged particle motions, which are typically described abstractly in other textbooks."
—Hantao Ji, Professor of Astrophysical Sciences, Princeton University"One of the most confusing features of plasma physics is the wealth of different levels of description that can be used in different circumstances. … This book provides an excellent treatment of these different starting points for the description of plasma phenomena, explaining in detail how they are related and the regimes in which each is applicable. A student who works through the book and problems in each chapter will have an excellent grounding for further work in the subject. More experienced researchers will find that it provides interesting insights into the basics of the subject and is a valuable source of reference."
—Alan Cairns, University of St Andrews, Fife, Scotland"This introduction to plasma physics by Richard Fitzpatrick originates from many years of lecturing and it shows—in the most positive way! The selection of topics is appealing to anyone entering into high temperature plasma physics, be it astrophysics or fusion. The physics explanations are intuitive and give great insight and yet the mathematical treatment is rigorous where necessary. Definitely recommended for plasma physics students, but also the experienced researcher will find interesting aspects."
—Hartmut Zohm, MaxPlanckInstitut für Plasmaphysik, Garching, Germany
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