# Fundamentals of Plasma Physics

Springer Science & Business Media, Jun 29, 2013 - Science - 679 pages

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 phenomena are developed Chapter 5 introduces the concepts of phase 9 Problems 28 Energy Conservation 34 Uniform Electrostatic and Magnetostatic Fields 49 Problems 56 Equation of Motion in the FirstOrder Approximation 66 and of the Magnetic Flux 75
 Problems 348 ELECTROMAGNETIC waves NFREESPACE 351 Solution in Plane Waves 352 Harmonic Waves 354 Polarization 358 Energy Flow 363 Wave Packets and Group Velocity 366 Problems 370

 directly and indirectly and especially to the many students to whom I 80 Curvature Drift 84 CHARGED PARTICLE MOTION 95 TimeVarying Magnetic Field 108 Summary of Guiding Center Drifts 115 ELEMENTS OF PLASMAKINETICTHEORY 123 Problems 138 Higher Moments of the Distribution Function 157 Mixture of Various Particle Species 170 Degree of Ionization in Equilibrium 184 MACROscoPIC TRANSPORTEQUATIONS193 193 Conservation of Momentum 200 The Cold Plasma Model 210 MACRoscoPIC EQUATIONS FORA CONDUCTING FLUID21s 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 PLASMAPHENOMENA25s 269 Debye Shielding Using the Vlasov Equation 278 Plasma Probe 288 SIMPLEAPPLICATIONS OF MAGNETOHYDRODYNAMICS29s 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 THE PINCHEFFECT 1 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 Convex Field Configurations 346
 MAGNETOHYDRODYNAMIC waves 375 Propagation Perpendicular to the Magnetic Field 382 Effect of Displacement Current 390 Problems 397 Wave Propagation in Isotropic Electron Plasmas 403 J A Bittencourt 411 Wave Propagation in Magnetized Cold Plasmas 413 Propagation Parallel to Bo 419 Some Special Wave Phenomena in Cold Plasmas 439 Problems 447 WAVES IN warm PLASMAs 453 Basic Equations for Waves in a Warm Magnetoplasma 460 Problems 481 Electrostatic Longitudinal Wave 491 Transverse Wave in a Hot Isotropic Plasma 503 Problems 510 WAVES IN HOT MAGNETIZED PLASMAs 515 68 526 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 669 668 141 672 Copyright