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The Physics of Plasmas

Lecture Notes by Richard Fitzpatrick
The University of Texas at Austin

File : pdf, html, 1.8 MB, 261 pages

TOC

Contents
1 Introduction
1.1 Sources
1.2 What is Plasma?
1.3 Brief History of Plasma Physics
1.4 Basic Parameters
1.5 Plasma Frequency
1.6 Debye Shielding
1.7 Plasma Parameter
1.8 Collisions
1.9 Magnetized Plasmas
1.10 Plasma Beta

2 Charged Particle Motion
2.1 Introduction
2.2 Motion in Uniform Fields
2.3 Method of Averaging
2.4 Guiding Centre Motion
2.5 Magnetic Drifts
2.6 Invariance of Magnetic Moment
2.7 Poincar´e Invariants
2.8 Adiabatic Invariants
2.9 Magnetic Mirrors
2.10 Van Allen Radiation Belts
2.11 Ring Current
2.12 Second Adiabatic Invariant
2.13 Third Adiabatic Invariant
2.14 Motion in Oscillating Fields

3 Plasma Fluid Theory
3.1 Introduction
3.2 Moments of the Distribution Function
3.3 Moments of the Collision Operator
3.4 Moments of the Kinetic Equation
3.5 Fluid Equations
3.6 Entropy Production
3.7 Fluid Closure
3.8 Braginskii Equations
3.9 Normalization of the Braginskii Equations
3.10 Cold-Plasma Equations
3.11 MHD Equations
3.12 Drift Equations
3.13 Closure in Collisionless Magnetized Plasmas
3.14 Langmuir Sheaths

4 Waves in Cold Plasmas
4.1 Introduction
4.2 Plane Waves in a Homogeneous Plasma
4.3 Cold-Plasma Dielectric Permittivity
4.4 Cold-Plasma Dispersion Relation
4.5 Polarization
4.6 Cutoff and Resonance
4.7 Waves in an Unmagnetized Plasma
4.8 Low-Frequency Wave Propagation
4.9 Parallel Wave Propagation
4.10 Perpendicular Wave Propagation
4.11 Wave Propagation Through Inhomogeneous Plasmas
4.12 Cutoffs
4.13 Resonances
4.14 Resonant Layers
4.15 Collisional Damping
4.16 Pulse Propagation
4.17 Ray Tracing
4.18 Radio Wave Propagation Through the Ionosphere

5 Magnetohydrodynamic Fluids
5.1 Introduction
5.2 Magnetic Pressure
5.3 Flux Freezing
5.4 MHD Waves
5.5 The Solar Wind
5.6 Parker Model of Solar Wind
5.7 Interplanetary Magnetic Field
5.8 Mass and Angular Momentum Loss
5.9 MHD Dynamo Theory
5.10 Homopolar Generators
5.11 Slow and Fast Dynamos
5.12 Cowling Anti-Dynamo Theoreme
5.13 Ponomarenko Dynamos
5.14 Magnetic Reconnection
5.15 Linear Tearing Mode Theory
5.16 Nonlinear Tearing Mode Theory
5.17 Fast Magnetic Reconnection
5.18 MHD Shocks
5.19 Parallel Shocks
5.20 Perpendicular Shocks
5.21 Oblique Shocks

6 Waves in Warm Plasmas
6.1 Introduction
6.2 Landau Damping
6.3 Physics of Landau Damping
6.4 Plasma Dispersion Function
6.5 Ion Sound Waves
6.6 Waves in Magnetized Plasmas
6.7 Parallel Wave Propagation
6.8 Perpendicular Wave Propagation

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