| Preface | p. ix |
| Plasma formulary | p. xi |
| Introduction to plasma theory | |
| Introduction | p. 3 |
| Preliminary remarks | p. 3 |
| Langmuir waves and ion sound waves | p. 5 |
| Cerenkov emission and Landau damping | p. 6 |
| The response tensor | p. 9 |
| The Landau prescription | p. 12 |
| Exercise set 1 | p. 14 |
| The response of an unmagnetized plasma | p. 17 |
| The cold plasma approach | p. 17 |
| The Vlasov approach | p. 19 |
| Maxwellian distributions | p. 20 |
| The dispersion equation | p. 21 |
| The absorption coefficient | p. 23 |
| Formal theory of weakly damped waves | p. 25 |
| Exercise set 2 | p. 27 |
| Instabilities in unmagnetized plasmas | |
| Reactive instabilities | p. 33 |
| Effect of a beam on wave dispersion | p. 33 |
| The counter-streaming instability | p. 34 |
| The weak-beam instability | p. 36 |
| Suppression due to increasing velocity spread | p. 36 |
| The Buneman instability | p. 38 |
| The Weibel instability | p. 39 |
| Interpretation of complex solutions | p. 40 |
| Exercise set 3 | p. 42 |
| Kinetic instabilities | p. 45 |
| The bump-in-tail instability | p. 45 |
| Quasilinear relaxation: the time-asymptotic state | p. 48 |
| Current and ion-beam driven growth of ion sound waves | p. 50 |
| Heat conduction and ion sound turbulence | p. 52 |
| Loss cone instability for Langmuir waves | p. 53 |
| Axisymmetric distributions: general case | p. 56 |
| Exercise set 4 | p. 61 |
| Particle motions in waves | p. 63 |
| Perturbations in the orbit of a single particle | p. 63 |
| Phase bunching and reactive growth | p. 66 |
| Wave trapping | p. 69 |
| Interpretation of the kinetic instability | p. 72 |
| The forward-scattering method and the time-asymptotic assumption | p. 74 |
| The ponderomotive force | p. 76 |
| Exercise set 5 | p. 77 |
| Weak turbulence theory | p. 79 |
| The emission formula: Cerenkov emission | p. 79 |
| Probabilities for nonlinear processes | p. 81 |
| Kinetic equations | p. 84 |
| Scattering of Langmuir waves off thermal ions | p. 87 |
| Scattering of Langmuir waves by ion sound waves | p. 91 |
| Plasma emission | p. 94 |
| Exercise set 6 | p. 97 |
| Nonlinear instabilities and strong turbulence | p. 100 |
| Nonlinear correction to the dispersion equation | p. 100 |
| Parametric instabilities | p. 104 |
| The free electron maser: plasma laser | p. 107 |
| The Zakharov equations and strong Langmuir turbulence | p. 111 |
| Solitons | p. 113 |
| Exercise set 7 | p. 115 |
| Collision-dominated magnetized plasmas | |
| Magnetohydrodynamics | p. 119 |
| The MHD equations | p. 119 |
| Small amplitude MHD waves | p. 121 |
| Surface waves | p. 124 |
| The MHD energy principle | p. 127 |
| Jump conditions at a discontinuity | p. 129 |
| MHD shock waves | p. 132 |
| Exercise set 8 | p. 136 |
| MHD instabilities | p. 139 |
| Ideal MHD instabilities | p. 139 |
| The Kelvin-Helmholtz instability | p. 144 |
| Collisions and transport coefficients | p. 146 |
| Magnetic merging and reconnection | p. 149 |
| Tearing instabilities | p. 153 |
| Exercise set 9 | p. 157 |
| Instabilities in magnetized collisionless plasmas | |
| Dispersion in a magnetized plasma | p. 163 |
| Dielectric tensors | p. 163 |
| The cold plasma modes | p. 167 |
| The magnetoionic modes | p. 170 |
| Low frequency modes | p. 175 |
| Quasilinear equations for B [not equal] 0 | p. 179 |
| Exercise set 10 | p. 181 |
| Electron cyclotron maser emission | p. 184 |
| Classification of gyromagnetic processes | p. 184 |
| The gyrotron instability | p. 187 |
| The parallel-driven cyclotron maser | p. 190 |
| The perpendicular-driven cyclotron maser | p. 194 |
| Applications of electron cyclotron maser emission | p. 200 |
| Phase bunching and wave trapping | p. 203 |
| Exercise set 11 | p. 206 |
| Instabilities in warm and in inhomogeneous plasmas | p. 209 |
| Longitudinal waves in warm plasmas | p. 209 |
| 'Parallel' cyclotron waves | p. 213 |
| Ion cyclotron waves in multi-ion plasmas | p. 215 |
| The Bernstein modes | p. 218 |
| Drift motions and the drift kinetic equation | p. 221 |
| Dielectric tensor for an inhomogeneous plasma | p. 224 |
| Drift waves | p. 227 |
| Exercise set 12 | p. 230 |
| Instabilities due to anisotropic fast particles | p. 233 |
| Resonant scattering | p. 233 |
| Whistler waves in the magnetosphere: quasilinear theory | p. 238 |
| Discrete VLF emissions | p. 239 |
| Scattering of streaming cosmic rays | p. 242 |
| Small amplitude Fermi acceleration | p. 244 |
| Acceleration at shock fronts | p. 247 |
| Exercise set 13 | p. 250 |
| The plasma dispersion function | p. 252 |
| Bessel functions | p. 253 |
| Collision frequencies | p. 255 |
| Transport coefficients | p. 257 |
| Bibliographical notes | p. 260 |
| References | p. 264 |
| List of commonly used symbols | p. 269 |
| Author index | p. 273 |
| Subject index | p. 276 |
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