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Introduction | |
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The Roots of Plasma Physics | |
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The Plasma Environment of Our Earth | |
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The Energy Source of Stars | |
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The Active Sun | |
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The Solar Wind | |
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Earth's Magnetosphere and Ionosphere | |
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Gas Discharges | |
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Lighting | |
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Plasma Displays | |
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Dusty Plasmas | |
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Controlled Nuclear Fusion | |
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A Particle Accelerator Makes No Fusion Reactor | |
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Magnetic Confinement in Tokamaks | |
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Experiments with D-T Mixtures | |
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The International Thermonuclear Experimental Reactor | |
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Stellarators | |
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Inertial Confinement Fusion | |
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Challenges of Plasma Physics | |
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Outline of the Book | |
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Definition of the Plasma State | |
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States of Matter | |
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The Boltzmann Distribution | |
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The Saha Equation | |
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The Coupling Parameter | |
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Collective Behavior of a Plasma | |
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Debye Shielding | |
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Quasineutrality | |
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Response Time and Plasma Frequency | |
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Existence Regimes | |
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Strong-Coupling Limit | |
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Quantum Effects | |
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Problems | |
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Single Particle Motion in Electric and Magnetic Fields | |
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Motion in Static Electric and Magnetic Fields | |
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Basic Equations | |
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Cyclotron Frequencies | |
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The Earth Magnetic Field | |
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E�B Drift | |
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Gravitational Drift | |
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Application: Confinement of Nonneutral Plasmas | |
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The Drift Approximation | |
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The Concept of a Guiding Center | |
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Gradient Drift | |
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Curvature Drift | |
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The Toroidal Drift | |
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The Magnetic Mirror | |
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Longitudinal Gradient | |
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Magnetic Moment | |
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Adiabatic Invariants | |
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The Magnetic Moment as First Invariant | |
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The Mirror Effect | |
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The Longitudinal and the Flux Invariant | |
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Time-Varying Fields | |
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The Polarization Drift | |
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Time-Varying Magnetic field | |
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Toroidal Magnetic Confinement | |
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The Tokamak Principle | |
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The Stellarator Principle | |
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Rotational Transform | |
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Electron Motion in an Inhomogeneous Oscillating Electric Field | |
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The Ponderomotive Force | |
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Problems | |
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Stochastic Processes in a Plasma | |
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The Velocity Distribution | |
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The Maxwell Velocity Distribution in One Dimension | |
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The Maxwell Distribution of Speeds | |
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Moments of the Distribution Function | |
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Distribution of Particle Energies | |
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Collisions | |
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Cross Section | |
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Mean Free Path and Collision Frequency | |
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Rate Coefficients | |
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Inelastic Collisions | |
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Coulomb Collisions | |
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Transport | |
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Mobility and Drift Velocity | |
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Electrical Conductivity | |
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Diffusion | |
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Motion in Magnetic Fields in the Presence of Collisions | |
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Application: Cross-Field Motion in a Hall Ion Thruster | |
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Heat Balance of Plasmas | |
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Electron Heating in a Gas Discharge | |
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Ignition of a Fusion Reaction: The Lawson Criterion | |
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Inertial Confinement Fusion | |
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Problems | |
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Fluid Models | |
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The Two-Fluid Model | |
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Maxwell's Equations | |
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The Concept of a Fluid Description | |
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The Continuity Equation | |
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Momentum Transport | |
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Shear Flows | |
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Magnetohydrostatics | |
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Isobaric Surfaces | |
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Magnetic Pressure | |
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Diamagnetic Drift | |
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Magnetohydrodynamics | |
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The Generalized Ohm's Law | |
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Diffusion of a Magnetic Field | |
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The Frozen-in Magnetic Flux | |
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The Pinch Effect | |
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Application: Alfv�n Waves | |
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Application: The Parker Spiral | |
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Problems | |
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Plasma Waves | |
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Maxwell's Equations and the Wave Equation | |
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Basic Concepts | |
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Fourier Representation | |
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Dielectric or Conducting Media | |
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Phase Velocity | |
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Wave Packet and Group Velocity | |
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Refractive Index | |
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The General Dispersion Relation | |
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Waves in Unmagnetized Plasmas | |
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Electromagnetic Waves | |
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The Influence of Collisions | |
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Interferometry with Microwaves and Lasers | |
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Mach-Zehnder Interferometer | |
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Folded Michelson Interferometer | |
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The Second-Harmonic Interferometer | |
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Plasma-Filled Microwave Cavities | |
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Electrostatic Waves | |
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The Longitudinal Mode | |
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Bohm-Gross Waves | |
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Ion-Acoustic Waves | |
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Waves in Magnetized Plasmas | |
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The Dielectric Tensor | |
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Circularly Polarized Modes and the Faraday Effect | |
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Propagation Across the Magnetic Field | |
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Resonance Cones | |
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Problems | |
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Plasma Boundaries | |
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The Space-Charge Sheath | |
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The Child-Langmuir Law | |
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The Bohm Criterion | |
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Stability Analysis | |
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The Bohm Criterion Imposed by the Sheath | |
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The Bohm Criterion as Seen from the Presheath | |
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The Plane Langmuir Probe | |
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The Ion Saturation Current | |
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The Electron Saturation Current | |
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The Electron Retardation Current | |
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The Floating Potential | |
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Advanced Langmuir Probe Methods | |
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The Druyvesteyn Method | |
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A Practical Realization of the Druyvesteyn Technique | |
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Double Probes | |
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Orbital Motion about Cylindrical and Spherical Probes | |
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Application: Ion Extraction From Plasmas | |
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Double Layers | |
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Langmuir's Strong Double Layer | |
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Experimental Evidence of Double Layers | |
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Problems | |
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Instabilities | |
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Beam-Plasma Instability | |
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Non-Thermal Distribution Functions | |
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Dispersion of the Beam-Plasma Modes | |
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Growth Rate for a Weak Beam | |
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Why is the Slow Space-Charge Wave Unstable? | |
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Temporal or Spatial Growth | |
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Buneman Instability | |
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Dielectric Function | |
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Instability Analysis | |
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Beam Instability in Finite Systems | |
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Geometry of the Pierce Diode | |
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The Dispersion Relation for a Free Electron Beam | |
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The Influence of the Boundaries | |
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The Pierce Modes | |
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Discussion of the Pierce Model | |
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Macroscopic Instabilities | |
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Stable Magnetic Configurations | |
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Pinch Instabilities | |
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Rayleigh-Taylor Instability | |
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Problems | |
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Kinetic Description of Plasmas | |
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The Vlasov Model | |
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Heuristic Derivation of the Vlasov Equation | |
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The Vlasov Equation | |
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Properties of the Vlasov Equation | |
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Relation Between the Vlasov Equation and Fluid Models | |
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Application to Current Flow in Diodes | |
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Construction of the Distribution Function | |
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Virtual Cathode and Current Continuity | |
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Finding a Self-Consistent Solution | |
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Discussion of Numerical Solutions | |
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Kinetic Effects in Electrostatic Waves | |
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Electrostatic Electron Waves | |
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The Meaning of Cold, Warm and Hot Plasma | |
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Landau Damping | |
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Damping of Ion-Acoustic Waves | |
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A Physical Picture of Landau Damping | |
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Plasma Wave Echoes | |
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No Simple Route to Landau Damping | |
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Plasma Simulation with Particle Codes | |
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The Particle-in-Cell Algorithm | |
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Phase-Space Representation | |
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Instability Saturation by Trapping | |
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Current Flow in Bounded Plasmas | |
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Problems | |
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Dusty Plasmas | |
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Charging of Dust Particles | |
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Secondary Emission | |
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Photoemission | |
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Charge Collection | |
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Charging Time | |
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Charge Fluctuations | |
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Influence of Dust Density on Dust Charge | |
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Forces on Dust Particles | |
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Levitation and Confinement | |
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Neutral Drag Force | |
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Thermophoretic Force | |
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Ion Wind Forces | |
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Interparticle Forces | |
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Plasma Crystals | |
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Experimental Observations | |
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The Role of Ion Wakes | |
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Coulomb and Yukawa Balls | |
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A Simple Model for the Structure of Yukawa Balls | |
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Waves in Dusty Plasmas | |
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Compressional and Shear Waves in Monolayers | |
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Spectral Energy Density of Waves | |
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Dust Density Waves | |
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Concluding Remarks | |
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Problems | |
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Plasma Generation | |
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DC-Discharges | |
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Types of Low Pressure Discharges | |
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Regions in a Glow Discharge | |
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Processes in the Cathode Region | |
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The Hollow Cathode Effect | |
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Thermionic Emitters | |
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The Negative Glow | |
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The Positive Column | |
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Similarity Laws | |
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Discharge Modes of Thermionic Discharges | |
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Capacitive Radio-Frequency Discharges | |
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The Impedance of the Bulk Plasma | |
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Sheath Expansion | |
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Electron Energetics | |
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Self Bias | |
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Application: Anisotropic Etching of Silicon | |
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Inductively Coupled Plasmas | |
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The Skin Effect | |
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E and H-Mode | |
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The Equivalent Circuit for an ICP | |
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Concluding Remark | |
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Problems | |
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Glossary | |
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Appendix: Constants and Formulas | |
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Physical Constants | |
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List of Useful Formulas | |
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Lengths | |
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Frequencies | |
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Velocities | |
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Useful Mathematics | |
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Vector Relations | |
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Matrices and Tensors | |
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The Theorems of Gauss and Stokes | |
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Solutions | |
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References | |
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Name Index | |
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Subject Index | |