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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 electr*** per Debye cube

2.7 The de Broglie wavelength and quantum effects

2.8 Representative plasma parameters

3 Single particle moti***

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 *** 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 equati***

5.1 The distribution function

5.2 The Boltzmann and Vlasov equati***

5.3 Soluti*** based on c***tants of the motion

5.4 The moment equati***

5.5 Electron and ion pressure waves

5.6 Collisional drag force

5.7 Ambipolar diffusion

6 Magnetohydrodynamics

6.1 The basic equati*** of MHD

6.2 Magnetic pressure

6.3 Magnetic field convection and diffusion

*** 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 conditi***

7.2 Classification of discontinuities

7.3 Shock waves

8 Electrostatic waves in a *** 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 *** 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 collisi***

11.2 Importance of small-angle collisi***

11.3 The Fokker-Planck equation

11.4 Conductivity of a fully ionized plasma

11.5 Collision operator for Maxwellian distributi*** of electr*** and i***

Appendix A Symbols

Appendix B Vector differential operators

Appendix C Vector calculus identities

Index

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