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Cramer N.F. — The Physics of Alfvén Waves
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Название: The Physics of Alfvén Waves
Автор: Cramer N.F.
Аннотация: Low-frequency wave modes of magnetized inhomogeneous plasmas have been subject to intense study in the last decade because they play important roles in the transport of energy in the plasmas. The "Alfvn wave heating" scheme has been investigated as a supplementary heating scheme for fusion plasma devices, and it has been invoked as a model of the heating of the solar and stellar coronae. This book covers the latest research into the properties and applications of low-frequency wave modes in magnetized plasmas, the Alfvn waves and magneto-acoustic waves, in the context of laboratory, space and astrophysical plasmas. In particular, non-ideal effects on the dispersion relation and absorption properties of linear and non-linear waves are included, such as ion-cyclotron effects, friction between the ionized plasma and a background gas of neutral atoms, and the interaction of the plasma with dust particles. The book also surveys the theory of Alfvn and magnetoacoustic waves in inhomogeneous plasmas, as occur in realistic laboratory, space and astrophysical plasmas, with resulting localized wave modes such as surface waves. Waves are considered under a variety of plasma conditions, ranging from cold cosmic plasmas, to hot laboratory and solar plasmas, to the relativistic plasmas around pulsars.
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Рубрика: Физика /
Статус предметного указателя: Готов указатель с номерами страниц
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Год издания: 2001
Количество страниц: 298
Добавлена в каталог: 19.03.2006
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Предметный указатель
Acceleration of charged particles 141—142
Acceleration of charged particles by KAW and IAW modes 211
Acceleration of charged particles, cosmic rays 52
Acceleration of charged particles, diffusive shock 141
Acceleration of charged particles, Fermi 141
Acceleration of stellar wind 214—216
Acoustic wave absorption at sunspots 238
Adiabatic gas law 4 84
Adiabatic index 4
Adiabatic invariant 46
Alfven continuum 86 188 190 195 198
Alfven resonance 65 67 70 72 74 80 86 89 95 101 109 114 122 173 190
Alfven resonance, absorption 251
Alfven resonance, absorption in solar corona 230—232
Alfven resonance, cone 63 206 212
Alfven resonance, energy accumulation 184
Alfven resonance, frequency 73 78 191 244
Alfven resonance, heating 74 102
Alfven resonance, point 69 74 183 201
Alfven speed 5 13 25 34 35
Alfven surface wave 97
Alfven velocity vector 86
Alfven wave 13—16 25 28 35 38 42
Alfven wave in pair plasmas 263
Alfven wave, compressional 16 173 176 184
Alfven wave, discrete 185 193—201 237
Alfven wave, discrete in cylindrical plasma 199—201
Alfven wave, discrete in slab plasma 194—198
Alfven wave, discrete, coupled 201
Alfven wave, discrete, cylindrical 201
Alfven wave, displacement current effect 260
Alfven wave, dust charging 220
Alfven wave, fast 19 26 35 36
Alfven wave, fast, damped 32
Alfven wave, global 185
Alfven wave, guided 206
Alfven wave, local shear 67
Alfven wave, localized 62—63 81 86 104 169 171 206—208
Alfven wave, resistive 82 83 90 170
Alfven wave, shear 5 15 26 67 71 82
Alfven wave, shear with pressure anisotropy 138
Alfven wave, shear, unstable 138
Alfven wave, slow 19 26 39 47
Alfven wave, slow, damped 32
Alfven wave, torsional 177
Alfven, Hannes 1
Ambipolar diffusion 240 246
Ampere's law 4
Antenna excitation 74 97 186 206
Antenna resistance 185
Astrophysical plasmas 239—268
Aurora 52 212
Backward wave 56 57 75
Beams 52 102 140
Beating of waves 158
Benjamin — Ono equation 162
Bessel function model of magnetic field 189
Bessel function radial solutions in cylindrical geometry 172 173 233
Bessel functions as solutions of the wave equation 96
Bessel functions in the dielectric tensor 8 269
Bessel functions, general properties 45 271
Beta, electron 5 40
Beta, ion 5 40
Beta, plasma 5 40
Boundary conditions at cylindrical surface 191
Boundary conditions at planar surface for KAW and IAW modes 128
Boundary conditions at planar surface for nonlinear waves 163
Boundary conditions at planar surface in cold plasma 91 99 125
Boundary conditions at planar surface in hot plasma 112 117
Boundary conditions with plasma flow 137
Carrier wave 147
Characteristic variables 14 28 30 138
Charge separation in short perpendicular wavelength mode 52
Clemmow — Mullaly — Allis diagram 11
Collision dominated plasma 2
Collision frequency 2 3 27 242
Collisionless plasma 6 8 21
Collisionless plasma, cold 21—26
Collisions, electron ion 27
Collisions, ion-neutral 27 28 80 129 242 253
Cometary plasmas 220—229
Complex Alfven speed 28
Complex density 28
Complex plane 38 170
Compressive resonance 67 72 74 75 87 95 114 120 122 168
Compressive stress 15
Compressive wave 16 56
Conductivity tensor 8 31 244—245
Conductivity, Cowling 32 246
Conductivity, Hall 31 244
Conductivity, parallel 31 244
Conductivity, Pedersen 31 244
contaminants 34
Continuity equation 2 4
Cosmic rays 141
Current drive 161 167 205
Current sheet 84 111 115 116 230 251
Current, effects on waves 188—193 236
Current, force-free 188
Curvature force 6
Cusp resonance see "Compressive resonance"
Cutoff 36 67 68 76 90 120
Cutoff frequency 67 70 106 176
Cutoff points 183
Cutoff-resonance pair 71
Cutoff-resonance-cutoff triplet 71 183 250
Cyclotron frequency 22 34
Cylindrical plasma 65 81 171—182 233
Cylindrical plasma, bounded 173—180
Cylindrical plasma, nonuniform 182—188
Cylindrical plasma, uniform 172—173
Damping 42
Damping, Alfven resonance 68 95 182
Damping, collisional 26—33 80—83
Damping, collisional, Hall 30—33
Damping, collisional, ion-neutral 27—28 80—81 246
Damping, collisional, low-frequency 27
Damping, collisionless 39
Damping, compressive resonance 95
Damping, cyclotron 39 43 48 80
Damping, dust charging 219
Damping, Landau 127 160
Damping, Landau, electron 41—43 46 61 212
Damping, Landau, ion 46 52 61
Damping, Landau, nonlinear 141 160
Damping, radiative 180
Damping, resistive 29—30 82—83
Damping, resistive in solar corona 231
Damping, resonance 93 95
Damping, transit time magnetic 46 47 50 51 57 160
Damping, viscous, in solar corona 231
DAW (Discrete Alfven wave) see "Alfven wave"
Debye length 45
Degeneracy 19
Density discontinuity 90
Density jump 90 98
Density ramp 90 91 98
Derivative nonlinear Schrodinger equation 147
Dielectric tensor 8 22 24 37 40 41 57 71 269—272
Dielectric tensor as differential operator 186
Dielectric tensor, gyrotropic elements 263 266
Dipole magnetic field 210
Direct excitation of waves 206
Discontinuous transition 94 136
Dispersion equation 9 14 24 42
Dispersion equation, Alfven 13
Dispersion equation, Hall 20 32 43
Dispersion equation, Hall, collisional 32
Dispersion equation, Hall, warm 71
Dispersion equation, high-beta 46
Dispersion equation, kinetic 48 61
Dispersion equation, low-frequency 57
Dispersion equation, magnetoacoustic 13
Dispersion equation, two-potential 60
dispersion relation 9
Displacement current 4 12
Distribution function 38
Distribution function, bi-Maxwellian 38 139 269
Distribution function, Juettner relativistic 265
Distribution function, Maxwellian 2 21 39 40
Distribution function, Maxwellian, shifted 140
Distribution function, nongyrotropic 221
Distribution function, nonthermal 39
Distribution function, ring-beam 222
DNLS see "Derivative nonlinear Schroedinger equation"
DNLS-Burgers equation 149
Doppler effect, anomalous 141 268
Doppler effect, normal 141
Doppler shifted frequency 39 137
Drift, Hall 48
Drift, particle 7 39
Dust cutoff frequency 218
Dust cyclotron damping 219
Dust cyclotron resonance 218
Dust grain charging 219
Dust grains 33 34 216 222
Dust neutral coupling 253—260
Dust-ion hybrid resonance 218
Dust-ion hybrid resonance frequency 218 244
Dust-whistler wave 218
Dusty plasmas 216—220 240—260
Dusty plasmas around comets 226—229
EAE see "Elliptical Alfven eigenmode"
Eigenmodes 167 191
Electron cyclotron frequency 50
Electron density 5
Electron inertia 7 19 52 53 55 60
Electron inertial length 54 55
Electron plasma frequency 3
Electron pressure 7
Electron-positron plasmas see "Pair plasmas"
Electrostatic wave 38 41
Elliptical Alfven eigenmode 204
Ellipticity effects in Tokamaks 202
Energy accumulation at the resonance 69
Energy density 9
Energy flux 9
Energy transport 53 55 65
Envelope modulation 147
Equation of state, adiabatic 4—6
Equation of state, double adiabatic 6 138
Equation of state, incompressible 4
Equations of motion 2
Evanescent waves 68 73
Extraordinary mode 263
Faraday's equation 137
Fast wave 39 71
Field line resonance 102 210
Finite Larmor radius effects 46 186
FLR see "Finite Larmor radius effects"
Fluid-motion equation 4 136
Forced oscillations 158
Forward wave 56
Fourier transforms 8 13 132 154 158
Frozen-in magnetic field 4
Fusion plasma 74 97
GAE see "Global Alfven eigenmode"
Gaps in spectra 201
Generalized Alfven resonance 69
Geomagnetic current sheet 84
Geomagnetic substorms 84
Geometric dispersion 162
Global Alfven eigenmode 193
Gravitational collapse 239
Green's function 115
Group velocity 9 16 55 62 149
Hall current 7 48 217 247 262
Hall effect 7
Hall parameter 32 245
Hall term 7 8 17 20
Hall-MHD model 7—8 17—20 69
Hall-MHD model with electron temperature 57—60 71—74
Hall-MHD model, cold 17—19 69—71 82
Hall-MHD model, nonlinear 142
Hall-MHD model, warm 19—20 74—76
Harris sheet model of magnetic field 84 111 123
Heating of laboratory plasmas 65 78 97 167
Helicity 157
Helicon wave 217
High-beta plasma 44—52 68
Hydromagnetics 3
IAW see "Inertial Alfven wave"
ICW see "Ion cyclotron wave"
Incompressible plasma 4 5 17 68 236
Inertial Alfven wave 52—63 73 90 127 129
Inertial Alfven wave in cylindrical plasma 180
Inertial Alfven wave in the magnetosphere 211
Inertial Alfven wave, fluid theory 53—57
Inertial Alfven wave, kinetic theory 60—61
Inertial Alfven wave, nonlinear 161
Inertial Alfven wave, temperature effects 57—58 71
Inertial Alfven wave, two-potential theory 58—60
Instabilities in relativistic plasmas 266—268
Instabilities, general properties 39 102 135—142 151—160
Instability, type, Alfven resonance with flow 137
Instability, type, Alfven/ion cyclotron 139
Instability, type, beat wave 160
Instability, type, cyclotron 268
Instability, type, decay 152 158 214
Instability, type, drift or beam 140—142 213 267
Instability, type, electromagnetic ion/ion 140
Instability, type, external kink 193 201 236
Instability, type, filamentation 160
Instability, type, firehose 138—139 214 221 224—229
Instability, type, hydrodynamic 138
Instability, type, internal kink 194 201
Instability, type, ion cyclotron anisotropy 139
Instability, type, ion ring-beam 220—229
Instability, type, Kelvin — Helmholtz 102 124 136—137 214
Instability, type, Kelvin — Helmholtz, in incompressible plasma 137
Instability, type, Kelvin — Helmholtz, magnetospheric 210
Instability, type, kinetic 139
Instability, type, mirror 139
Instability, type, mirror, magnetospheric 210
Instability, type, modulational 151—160
Instability, type, nonlinear 156
Instability, type, nonresonant 224
Instability, type, parametric 151—160
Instability, type, pick-up 214
Instability, type, reactive 138
Instability, type, resonant 224
Intermediate wave 15 20
Interstellar molecular clouds 239
Io plasma torus 160 211
Ion cyclotron frequency 7
Ion cyclotron frequency effects 17
Ion cyclotron resonance 18
Ion cyclotron wave 18 34 36 39 71 176 185
Ion cyclotron wave, damped 32
Ion-acoustic velocity 41 42 54
Ion-acoustic wave 41 54 57
Ion-ion hybrid resonance 78 80 89 101 109 190
Ion-ion hybrid resonance frequency 78
Ion-neutral collision frequency 30
Ion-sound velocity see "Ion-acoustic velocity"
Ion-sound wave see "Ion-acoustic wave"
Ionosphere 53 92 211
Ions, negatively charged 34 36 105
Ions, positively charged 34 36
KAW see "Kinetic Alfven wave"
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