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Instabilities in Space and Laboratory Plasmas - D. B. Melrose

Instabilities in Space and Laboratory Plasmas


Published: 15th May 1989
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This introductory account of instabilities in plasmas concentrates on laboratory plasmas, such as those encountered in fusion research, and the space plasmas studied in physics of the magnetosphere and solar atmosphere. This account bridges the gap between a graduate textbook on plasma physics, and specialized similarities between astrophysical and laboratory plasmas that are traditionally regarded as quite separate. The author, an expert in plasma astrophysics who has written a two-volume book on the subject, treats the material naturally, lending a broader perspective to the subject. This is an instructional text for graduate students and professionals in magnetospheric and mathematical physics, radiophysics, solar and theoretical astrophysics and radio astronomy.

' ... this book is a must for any starter in plasma physics and for other theoretically minded physicists who want to keep abreast of progress in that field.' Astronomical Society of Australia 'I recommend this book to every space physicist who deals with or is curious about plasma instabilities.' Eos

Prefacep. ix
Plasma formularyp. xi
Introduction to plasma theory
Introductionp. 3
Preliminary remarksp. 3
Langmuir waves and ion sound wavesp. 5
Cerenkov emission and Landau dampingp. 6
The response tensorp. 9
The Landau prescriptionp. 12
Exercise set 1p. 14
The response of an unmagnetized plasmap. 17
The cold plasma approachp. 17
The Vlasov approachp. 19
Maxwellian distributionsp. 20
The dispersion equationp. 21
The absorption coefficientp. 23
Formal theory of weakly damped wavesp. 25
Exercise set 2p. 27
Instabilities in unmagnetized plasmas
Reactive instabilitiesp. 33
Effect of a beam on wave dispersionp. 33
The counter-streaming instabilityp. 34
The weak-beam instabilityp. 36
Suppression due to increasing velocity spreadp. 36
The Buneman instabilityp. 38
The Weibel instabilityp. 39
Interpretation of complex solutionsp. 40
Exercise set 3p. 42
Kinetic instabilitiesp. 45
The bump-in-tail instabilityp. 45
Quasilinear relaxation: the time-asymptotic statep. 48
Current and ion-beam driven growth of ion sound wavesp. 50
Heat conduction and ion sound turbulencep. 52
Loss cone instability for Langmuir wavesp. 53
Axisymmetric distributions: general casep. 56
Exercise set 4p. 61
Particle motions in wavesp. 63
Perturbations in the orbit of a single particlep. 63
Phase bunching and reactive growthp. 66
Wave trappingp. 69
Interpretation of the kinetic instabilityp. 72
The forward-scattering method and the time-asymptotic assumptionp. 74
The ponderomotive forcep. 76
Exercise set 5p. 77
Weak turbulence theoryp. 79
The emission formula: Cerenkov emissionp. 79
Probabilities for nonlinear processesp. 81
Kinetic equationsp. 84
Scattering of Langmuir waves off thermal ionsp. 87
Scattering of Langmuir waves by ion sound wavesp. 91
Plasma emissionp. 94
Exercise set 6p. 97
Nonlinear instabilities and strong turbulencep. 100
Nonlinear correction to the dispersion equationp. 100
Parametric instabilitiesp. 104
The free electron maser: plasma laserp. 107
The Zakharov equations and strong Langmuir turbulencep. 111
Solitonsp. 113
Exercise set 7p. 115
Collision-dominated magnetized plasmas
Magnetohydrodynamicsp. 119
The MHD equationsp. 119
Small amplitude MHD wavesp. 121
Surface wavesp. 124
The MHD energy principlep. 127
Jump conditions at a discontinuityp. 129
MHD shock wavesp. 132
Exercise set 8p. 136
MHD instabilitiesp. 139
Ideal MHD instabilitiesp. 139
The Kelvin-Helmholtz instabilityp. 144
Collisions and transport coefficientsp. 146
Magnetic merging and reconnectionp. 149
Tearing instabilitiesp. 153
Exercise set 9p. 157
Instabilities in magnetized collisionless plasmas
Dispersion in a magnetized plasmap. 163
Dielectric tensorsp. 163
The cold plasma modesp. 167
The magnetoionic modesp. 170
Low frequency modesp. 175
Quasilinear equations for B [not equal] 0p. 179
Exercise set 10p. 181
Electron cyclotron maser emissionp. 184
Classification of gyromagnetic processesp. 184
The gyrotron instabilityp. 187
The parallel-driven cyclotron maserp. 190
The perpendicular-driven cyclotron maserp. 194
Applications of electron cyclotron maser emissionp. 200
Phase bunching and wave trappingp. 203
Exercise set 11p. 206
Instabilities in warm and in inhomogeneous plasmasp. 209
Longitudinal waves in warm plasmasp. 209
'Parallel' cyclotron wavesp. 213
Ion cyclotron waves in multi-ion plasmasp. 215
The Bernstein modesp. 218
Drift motions and the drift kinetic equationp. 221
Dielectric tensor for an inhomogeneous plasmap. 224
Drift wavesp. 227
Exercise set 12p. 230
Instabilities due to anisotropic fast particlesp. 233
Resonant scatteringp. 233
Whistler waves in the magnetosphere: quasilinear theoryp. 238
Discrete VLF emissionsp. 239
Scattering of streaming cosmic raysp. 242
Small amplitude Fermi accelerationp. 244
Acceleration at shock frontsp. 247
Exercise set 13p. 250
The plasma dispersion functionp. 252
Bessel functionsp. 253
Collision frequenciesp. 255
Transport coefficientsp. 257
Bibliographical notesp. 260
Referencesp. 264
List of commonly used symbolsp. 269
Author indexp. 273
Subject indexp. 276
Table of Contents provided by Syndetics. All Rights Reserved.

ISBN: 9780521379625
ISBN-10: 0521379628
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 296
Published: 15th May 1989
Country of Publication: GB
Dimensions (cm): 24.77 x 17.78  x 1.91
Weight (kg): 0.52