## Fundamentals of Plasma PhysicsFundamentals 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 |

669 | |