Accretion Power in Astrophysics Third Edition Juhan Prank Department of Physics and Astronomy, Louisiana State University, Baton Rouge Andrew King Astronomy Group, University of Leicester Derek Raine Astronomy Group, University of Leicester CAMBRIDGE UNIVERSITY PRESS Contents Preface to the first edition Preface to the second edition Preface to the third edition page ix xi xiii 1 ACCRETION AS A SOURCE OF ENERGY 1.1 1.2 1.3 1.4 1 Introduction The Eddington limit The emitted spectrum Accretion theory and observation 1 2 5 6 2 GAS DYNAMICS 2.1 2.2 2.3 2.4 2.5 Introduction The equations of gas dynamics Steady adiabatic flows; isothermal Sound waves Steady, spherically symmetric accretion 8 flows 3 PLASMA CONCEPTS 3.1 3.2 3.3 3.4 3.5 3.6 3.7 3.8 Introduction Charge neutrality, plasma oscillations and the Debye length Collisions Thermal plasmas: relaxation time and mean free path The stopping of fast particles by a plasma Transport phenomena: viscosity The effect of strong magnetic fields Shock waves in plasmas 4 ACCRETION IN BINARY SYSTEMS 4.1 4.2 4.3 4.4 4.5 4.6 4.7 4.8 4.9 Introduction Interacting binary systems Roche lobe overflow Roche geometry and binary evolution Disc formation Viscous torques The magnitude of viscosity Beyond the a-prescript ion Accretion in close binaries: other possibilities 8 8 11 12 14 23 23 23 26 30 32 34 37 41 48 48 48 49 54 58 63 69 71 73 vi Contents 5 ACCRETION DISCS 5.1 5.2 5.3 5.4 5.5 5.6 5.7 5.8 5.9 5.10 5.11 5.12 5.13 Introduction Radial disc structure Steady thin discs The local structure of thin discs The emitted spectrum The structure of steady a-discs (the 'standard model') Steady discs: confrontation with observation Time dependence and stability Dwarf novae Irradiated discs Tides, resonances and superhumps Discs axound young stars Spiral shocks 6 ACCRETION ON TO A COMPACT OBJECT 6.1 6.2 6.3 6.4 6.5 6.6 6.7 6.8 Introduction Boundary layers Accretion on to magnetized neutron stars and white dwarfs Accretion columns: the white dwarf case Accretion column structure for neutron stars X-ray bursters Black holes Accreting binary systems with compact components 7 ACTIVE GALACTIC NUCLEI 7.1 7.2 7.3 7.4 7.5 7.6 7.7 7.8 Observations The distances of active galaxies The sizes of active galactic nuclei The mass of the central source Models of active galactic nuclei The gas supply Black holes Accretion efficiency 8 ACCRETION DISCS IN ACTIVE GALACTIC NUCLEI 8.1 8.2 8.3 8.4 8.5 8.6 8.7 The nature of the problem Radio, millimetre and infrared emission Optical, UV and X-ray emission The broad and narrow, permitted and forbidden The narrow line region The broad line region The stability of AGN discs 9 ACCRETION POWER IN ACTIVE GALACTIC NUCLEI 9.1 9.2 9.3 9.4 9.5 Introduction •»' Extended radio sources Compact radio sources The nuclear continuum Applications to discs 80 80 80 84 88 90 93 98 110 121 129 139 148 150 152 152 152 158 174 191 202 207 209 213 213 220 223 225 228 230 234 238 244 244 246 247 250 252 255 265 267 267 267 272 278 281 Contents 9.6 9.7 9.8 9.9 vii Magnetic Newtonian electrodynamic discs The Blandford-Znajek model Circuit analysis of black hole power fields 285 287 289 292 10 THICK DISCS 10.1 10.2 10.3 10.4 10.5 10.6 10.7 296 Introduction Equilibrium The limiting luminosity Newtonian vorticity-free torus Thick accretion discs Dynamical stability Astrophysical implications 296 298 303 306 309 314 316 figures 11 ACCRETION FLOWS ill 11.2 11.3 11.4 11.5 11.6 11.7 11.8 Introduction The equations Vertically integrated equations - slim discs A unified description of steady accretion Stability Optically thin ADAFs — similarity solutions Astrophysical applications Caveats and alternatives 11.9 Epilogue • Appendix Radiation processes Problems Bibliography . Index 319 flows 319 320 323 325 331 333 334 337 342 345 350 366 380