## 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

1 | |

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 |

668 | |

672 | |