FUNDAMENTALS OF PLASMA PHYSICS
CONTENTS BASIC CONCEPTS HISTORY OF THE TERM “PLASMA” BRIEF HISTORY OF PLASMA PHYSICS PLASMA PARAMETERS EXAMPLES OF PLASMAS LOGICAL FRAMEWORK OF PLASMA PHYSICS DEBYE SHIELDING QUASI-NEUTRALITY SMALL V LARGE ANGLE COLLISIONS IN PLASMAS ELECTRON AND ION COLLISION FREQUENCIES 1 10 COLLISIONS WITH NEUTRALS 1 11 SIMPLE TRANSPORT PHENOMENA 1 12 A QUANTITATIVE PERSPECTIVE 1 13 ASSIGNMENTS DERIVATION OF ?UID EQUATIONS: VLASOV, 2-?UID, MHD PHASE-SPACE DISTRIBUTION FUNCTION AND VLASOV EQUATION MOMENTS OF THE DISTRIBUTION FUNCTION TWO-?UID EQUATIONS MAGNETOHYDRODYNAMIC EQUATIONS SUMMARY OF MHD EQUATIONS SHEATH PHYSICS AND LANGMUIR PROBE THEORY ASSIGNMENTS MOTION OF A SINGLE PLASMA PARTICLE MOTIVATION HAMILTON-LAGRANGE FORMALISM V LORENTZ EQUATION ADIABATIC INVARIANT OF A PENDULUM EXTENSION OF WKB METHOD TO GENERAL ADIABATIC INVARIANT DRIFT EQUATIONS RELATION OF DRIFT EQUATIONS TO THE DOUBLE ADIABATIC MHD EQUATIONS NON-ADIABATIC MOTION IN SYMMETRIC GEOMETRY MOTION IN SMALL-AMPLITUDE OSCILLATORY ?ELDS WAVE-PARTICLE ENERGY TRANSFER 3 10 ASSIGNMENTS ELEMENTARY PLASMA WAVES GENERAL METHOD FOR ANALYZING SMALL AMPLITUDE WAVES TWO-?UID THEORY OF UNMAGNETIZED PLASMA WAVES LOW FREQUENCY MAGNETIZED PLASMA: ALFVÉN WAVES TWO-?UID MODEL OF ALFVÉN MODES STREAMING INSTABILITIES AND THE LANDAU PROBLEM STREAMING INSTABILITIES THE LANDAU PROBLEM THE PENROSE CRITERION COLD PLASMA WAVES IN A MAGNETIZED PLASMA REDUNDANCY OF POISSON’S EQUATION IN ELECTROMAGNETIC MODE ANALYSIS DIELECTRIC TENSOR A JOURNEY THROUGH PARAMETER SPACE HIGH FREQUENCY WAVES: ALTAR-APPLETON-HARTREE DISPERSION RELATION GROUP VELOCITY QUASI-ELECTROSTATIC COLD PLASMA WAVES RESONANCE CONES WAVES IN INHOMOGENEOUS PLASMAS AND WAVE ENERGY RELATIONS WAVE PROPAGATION IN INHOMOGENEOUS PLASMAS GEOMETRIC OPTICS SURFACE WAVES - THE PLASMA-?LLED WAVEGUIDE PLASMA WAVE-ENERGY EQUATION COLD-PLASMA WAVE ENERGY EQUATION FINITE-TEMPERATURE PLASMA WAVE ENERGY EQUATION NEGATIVE ENERGY WAVES VLASOV THEORY OF WARM ELECTROSTATIC WAVES IN A MAGNETIZED PLASMA UNIFORM PLASMA ANALYSIS OF THE WARM PLASMA ELECTROSTATIC DISPERSION RELATION BERNSTEIN WAVES WARM, MAGNETIZED, ELECTROSTATIC DISPERSION WITH SMALL, BUT ?NITE K? ANALYSIS OF LINEAR MODE CONVERSION DRIFT WAVES MHD EQUILIBRIA WHY USE MHD? VACUUM MAGNETIC ?ELDS FORCE-FREE ?ELDS MAGNETIC PRESSURE AND TENSION MAGNETIC STRESS TENSOR FLUX PRESERVATION, ENERGY MINIMIZATION, AND INDUCTANCE STATIC VERSUS DYNAMIC EQUILIBRIA STATIC EQUILIBRIA DYNAMIC EQUILIBRIA: ?OWS 9 10 ASSIGNMENTS 10 STABILITY OF STATIC MHD EQUILIBRIA 10 1 THE RAYLEIGH-TAYLOR INSTABILITY OF HYDRODYNAMICS 10 2 MHD RAYLEIGH-TAYLOR INSTABILITY 10 3 THE MHD ENERGY PRINCIPLE 10 4 DISCUSSION OF THE ENERGY PRINCIPLE 10 5 CURRENT-DRIVEN INSTABILITIES AND HELICITY 10 6 MAGNETIC HELICITY 10 7 QUALITATIVE DESCRIPTION OF FREE-BOUNDARY INSTABILITIES 10 8 ANALYSIS OF FREE-BOUNDARY INSTABILITIES 10 9 ASSIGNMENTS 11 MAGNETIC HELICITY INTERPRETED AND WOLTJER-TAYLOR RELAXATION 11 1 INTRODUCTION 11 2 TOPOLOGICAL INTERPRETATION OF MAGNETIC HELICITY 11 3 WOLTJER-TAYLOR RELAXATION 11 4 KINKING AND MAGNETIC HELICITY 11 5 ASSIGNMENTS 12 MAGNETIC RECONNECTION 12 1 INTRODUCTION 12 2 WATER-BEADING: AN ANALOGY TO MAGNETIC TEARING AND RECONNECTION 12 3 QUALITATIVE DESCRIPTION OF SHEET CURRENT INSTABILITY 12 4 SEMI-QUANTITATIVE ESTIMATE OF THE TEARING PROCESS 12 5 GENERALIZATION OF TEARING TO SHEARED MAGNETIC ?ELDS 12 6 MAGNETIC ISLANDS 12 7 ASSIGNMENTS 13 FOKKER-PLANCK THEORY OF COLLISIONS 13 1 INTRODUCTION 13 2 STATISTICAL ARGUMENT FOR THE DEVELOPMENT OF THE FOKKER-PLANCK EQUATION 13 3 ELECTRICAL RESISTIVITY 13 4 RUNAWAY ELECTRIC ?ELD 13 5 ASSIGNMENTS 14 WAVE-PARTICLE NONLINEARITIES 14 1 INTRODUCTION 14 2 VLASOV NON-LINEARITY AND QUASI-LINEAR VELOCITY SPACE DIFFUSION 14 3 ECHOES 14 4 ASSIGNMENTS 15 WAVE-WAVE NONLINEARITIES 15 1 INTRODUCTION 15 2 MANLEY-ROWE RELATIONS 15 3 APPLICATION TO WAVES 15 4 NON-LINEAR DISPERSION FORMULATION AND INSTABILITY THRESHOLD 15 5 DIGGING A HOLE IN THE PLASMA VIA PONDEROMOTIVE FORCE 15 6 ION ACOUSTIC WAVE SOLITON 15 7 ASSIGNMENTS 16 NON-NEUTRAL PLASMAS 16 1 INTRODUCTION 16 2 BRILLOUIN ?OW 16 3 ISOMORPHISM TO INCOMPRESSIBLE 2D HYDRODYNAMICS 16 4 NEAR PERFECT CON?NEMENT 16 5 DIOCOTRON MODES 16 6 ASSIGNMENTS 17 DUSTY PLASMAS 17 1 INTRODUCTION 17 2 ELECTRON AND ION CURRENT ?OW TO A DUST GRAIN 17 3 DUST CHARGE 17 4 DUSTY PLASMA PARAMETER SPACE 17 5 LARGE P LIMIT: DUST ACOUSTIC WAVES 17 6 DUST ION ACOUSTIC WAVES 17 7 THE STRONGLY COUPLED REGIME: CRYSTALLIZATION OF A DUSTY PLASMA 17 8 ASSIGNMENTS BIBLIOGRAPHY AND SUGGESTED READING REFERENCES