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Preface

1 Introduction

2 Characteristic parameters of a plasma

2.1 Number density and temperature

2.2 Debye length

2.3 Plasma frequency

2.4 Cyclotron frequency

2.5 Collision frequency

2.6 Number of electrons per Debye cube

2.7 The de Broglie wavelength and quantum effects

2.8 Representative plasma parameters

3 Single particle motions

3.1 Motion in a static uniform magnetic field

3.2 Motion in perpendicular electric and magnetic fields

3.3 Gradient and curvature drifts

3.4 Motion in a magnetic mirror field

3.5 Motion in a time varying magnetic field

3.6 Adiabatic invariants

3.7 The Hamiltonian method

3.8 Chaotic orbits

4 Waves in a cold plasma

4.1 Fourier representation of waves

4.2 General form of the dispersion relation

4.3 Waves in a cold uniform unmagnetized plasma

4.4 Waves in a cold uniform magnetized plasma

4.5 Ray paths in inhomogeneous plasmas

5 Kinetic theory and the moment equations

5.1 The distribution function

5.2 The Boltzmann and Vlasov equations

5.3 Solutions based on constants of the motion

5.4 The moment equations

5.5 Electron and ion pressure waves

5.6 Collisional drag force

5.7 Ambipolar diffusion

6 Magnetohydrodynamics

6.1 The basic equations of MHD

6.2 Magnetic pressure

6.3 Magnetic field convection and diffusion

6.4 The energy equation

6.5 Magnetohydrodynamic waves

6.6 Static MHD equilibrium

6.7 MHD stability

6.8 Magnetic reconnection

7 Discontinuities and shock waves

7.1 The MHDjump conditions

7.2 Classification of discontinuities

7.3 Shock waves

8 Electrostatic waves in a hot unmagnetized plasma

8.1 The Vlasov approach

8.2 The Landau approach

8.3 The plasma dispersion function

8.4 The dispersion relation for a multi-component plasma

8.5 Stability

9 Waves in a hot magnetized plasma

9.1 Linearization of the Vlasov equation

9.2 Electrostatic waves

9.3 Electromagnetic waves

10 Non-linear effects

10.1 Quasi-linear theory

10.2 Stationary non-linear electrostatic potentials

11 Collisional processes

11.1 Binary Coulomb collisions

11.2 Importance of small-angle collisions

11.3 The Fokker-Planck equation

11.4 Conductivity of a fully ionized plasma

11.5 Collision operator for Maxwellian distributions of electrons and ions

Appendix A Symbols

Appendix B Vector differential operators

Appendix C Vector calculus identities

Index

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