Fundamentals of Plasma Physics

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Springer Science & Business Media, Jun 17, 2004 - Science - 679 pages
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Fundamentals of Plasma Physics is a general introduction designed to present a comprehensive, logical and unified treatment of the fundamentals of plasma physics based on statistical kinetic theory, with applications to a variety of important plasma phenomena. Its clarity and completeness makes the text suitable for self-learning and for self-paced courses.

Throughout the text the emphasis is on clarity, rather than formality, the various derivations are explained in detail and, wherever possible, the physical interpretations are emphasized. The mathematical treatment is set out in great detail, carrying out the steps which are usually left to the reader. The problems form an integral part of the text and most of them were designed in such a way as to provide a guideline, stating intermediate steps with answers.

 

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Contents

PREFACE
1
The Occurrence of Plasmas in Nature
11
Theoretical Description of Plasma Phenomena
25
CHARGED PARTICLE MOTION IN CONSTANT
33
Uniform Electrostatic and Magnetostatic Fields
49
Problems
56
Equation of Motion in the FirstOrder Approximation
66
Gradient Drift
74
Convex Field Configurations
346
Problems
348
ELECTROMAGNETIC WAVES IN Fl 1 The Wave Equation
351
Solution in Plane Waves
352
Harmonic Waves
354
Polarization
358
Energy Flow
363
Wave Packets and Group Velocity
366

Combined GradientCurvature Drift
87
CHARGED PARTICLE MOTION
95
TimeVarying Magnetic Field
108
Summary of Guiding Center Drifts
115
ELEMENTS OF PLASMA KINETIC THEORY
122
Relaxation Model for the Collision Term
135
Pressure Dyad or Tensor
148
Higher Moments of the Distribution Function
157
Properties of the MaxwellBoltzmann
171
Degree of lonization in Equilibrium
184
MACROSCOPIC TRANSPORT EQUATIONS
193
Conservation of Momentum
200
The Cold Plasma Model
210
MACROSCOPIC EQUATIONS FOR A CONDUCTING FLUID
219
Electrodynamic Equations for a Conducting Fluid
227
Simplified Magnetohydrodynamic Equations
234
Linearization of the Langevin Equation
240
AC Conductivity and Electron Mobility
247
Electron Diffusion in a Magnetic Field
254
Diffusion in a Fully Ionized Plasma
260
SOME BASIC PLASMA PHENOMENA
269
Debye Shielding Using the Vlasov Equation
278
Plasma Probe
288
SIMPLE APPLICATIONS OF MAGNETOHYDRODYNAMICS
299
Magnetic Viscosity and Reynolds Number
309
Freezing of Magnetic Field Lines to the Plasma
312
Magnetic Pressure
316
Isobaric Surfaces
318
Plasma Confinement in a Magnetic Field
319
Problems
322
Introduction
325
The Equilibrium Pinch
326
The Bennett Pinch
332
Dynamic Model of the Pinch
335
Instabilities in a Pinched Plasma Column
341
The Sausage Instability
342
The Kink Instability
345
Problems
370
15 MAGNETOHYDRODYNAMIC WAVES
375
Propagation Perpendicular to the Magnetic Field
382
Effect of Displacement Current
390
Problems
397
Wave Propagation in Isotropic Electron Plasmas
403
Wave Propagation in Magnetized Cold Plasmas
413
Propagation Parallel to BQ
419
Propagation at Arbitrary Directions
430
Some Special Wave Phenomena in Cold Plasmas
439
Problems
447
WAVES IN WARM PLASMAS
453
Basic Equations for Waves in a Warm Magnetoplasma
460
Waves in a Fully Ionized Warm Magnetoplasma
470
Problems
481
Electrostatic Longitudinal Wave
491
Transverse Wave in a Hot Isotropic Plasma
503
Problems
510
WAVES IN HOT MAGNETIZED PLASMAS
515
Wave Propagation Across
534
Summary
552
PARTICLE INTERACTIONS IN PLASMAS
560
Dynamics of Binary Collisions
566
Cross Sections
572
Cross Sections for the Hard Sphere Model
578
Problems
586
The Boltzmanns H Function
598
Boltzmann Collision Term
607
The FokkerPlanck Equation
612
TRANSPORT PROCESSES IN PLASMAS
628
Electric Conductivity in a Magnetized Plasma
634
Free Diffusion
640
Heat Flow
647
APPENDIX
655
APPENDIX C
662
INDEX
669
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