Volovik G. — Artificial black holes :: Электронная библиотека попечительского совета мехмата МГУ

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Volovik G. — Artificial black holes

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Название: Artificial black holes

Автор: Volovik G.

Аннотация:

Physicists are pondering on the possibility of simulating black holes in the laboratory by means of various "analog models". These analog models, typically based on condensed matter physics, can be used to help us understand general relativity (Einstein’s gravity); conversely, abstract techniques developed in general relativity can sometimes be used to help us understand certain aspects of condensed matter physics. This book contains 13 chapters — written by experts in general relativity, particle physics, and condensed matter physics — that explore various aspects of this two-way traffic.

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Рубрика: Физика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2002

Количество страниц: 415

Добавлена в каталог: 31.10.2010

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Предметный указатель

Abraham momentum      336
Absolute horizon      10 24
Acoustic black hole      xi 36-55 88 367
Acoustic black hole, difficulty in constructing      110-123
Acoustic geometry      xiii 8 10 12 18-19 215 218 350-351
Acoustic geometry, definition      9
Acoustic horizon      22 36 111
Acoustic metric      37 134 137 144 147 153 155 157 246 254 257 260 351 359
Acoustic momentum      xiv
Aether      xii 181 182 336 338
Affine parameter      384
Agulhas current      358
Aharonov - Bohm effect      81 336
Analogue gravity      2
Analogue horizon      2 82
Apparent horizon      10 11 13 22-24 217
Arnowitt - Deser - Misner formalism      351
Baby universe      90 100 102
Back-reaction      218
Barotropic      15 16 18 19 21 23 247-249 251-253 371
Bekenstein entropy      13 27-28 237
Bernoulli equation      114 349 352
Bianchi identity      131 162
Birefringence      xiii 12 276 277 298 299 373
Black hole      180 181 183 185 187 193-196
Blokhintsev energy law      358 360
Bogoliubov dispersion relation      374
Bogoliubov equations      38 39 42 43 49 50 53-55
Bogoliubov frequency mixing      123
Bogoliubov method      138 140 182 188 337
Bogoliubov solution      185
Bolometer      117
Boltzmann - Ehrenfest principle      342 343
Boltzmann distribution      116
Bondi - Hoyle accretion      12 368
Born - Infeld Lagrangian      12 268 276 288 297 298 304
Born - Oppenheimer approximation      238
Bose - Einstein condensate      xi 2 12 36-55 62 122 139 143 184 336 366 367 371
Braneworld cosmology      xiii 200-209
Cartesian coordinates      3 6 62 248 351
Casimir effect      130 131 136 154 158 163-165 167-173 328
Catenary      316
Cauchy surface      101
Centrifugal field      200 201
chemical potential      38 41 48 136 145 147 149-152 154 156 165 166 349
Cherenkov effect      327 328
Chiral fermions      129 137 141
Chirality      311
Christoffel symbols      4 6 273 357 383
Clebsch potential      255 258
Coherence      234 235
Coherence length      92 94 95 180 183 190
condensate      93 96 104
Conformal anomaly      see scale anomaly
Conformal invariance      225 227 232
Continuity equation      16
Cooper pair      91 92 249 253
Core      16 93 95-97 102 246
Coriolis effect      200
Cosmological constant      129 131 133 134 147 149 152 153 156 162 173 182 194 195
Cosmology      xiii 148 154 157-161 200-209
Counterterms      145 232
Critical depth      185
Critical equation      185
Critical frequency      218
Critical opalescence      192
Critical point      180 182 183 185 190 191
Critical pressure      185
Critical surface      183 186 187 190
Critical temperature      97
Critical value      169 170 188 294
Critical velocity      82
Cutoff      42 43 89 90 122 133 163 170
Cutoff, insensitivity of Hawking effect      112
d'Alembertian      18 202 203 205 206 215 218 220 221 223 254 370 371
Dark state      73-78
De Laval nozzle      see Laval nozzle
Debye temperature      147 153 164
Dielectric      2 9 12 165 168 279-282 285-287 289 296 336 366 367
Dirac - Nambu - Goto stress-energy      202
dispersion      64 65 67-69 74 80 89 168 233 283 327 361
dispersion relation      50 51 65 96 102 112 117 119 122 134 185 188-190 196 218 219 234 359 375
Domain wall      90 93-96 98 102 104 105
Doppler detuning      82
Doppler effect      80 82 97 142 327 359
Doppler effect, anomalous      310 326-328
Dragging of inertial frames      21
Dumb hole      see acoustic black hole
Dyadosphere      294-295
Effective action      see effective Lagrangian
Effective field theory      78 83 145 146 148 373 374
Effective geometry      90 268 269 271 274 276-278 280 281 286-290 292-294 297 298 302 304
effective Lagrangian      79 268 271 274 280 289 292 302
Effective metric      xiii 2 37 81 82 110 134 137 142 144 155 160 173 214 272 275 279 282-285 287 288 291-294 296 298 299 301 303 366-373
Eikonal      228
Einstein - Hilbert action      27 28 131 133 134 206 224 374
Einstein equation      18 90 131 132 173 214 216 217 224 225 373
Einstein equation, defined      384
Einstein gravity      131 133-135 145 152 161 172 204 285
Einstein gravity, basic definitions      383-384
Einstein summation convention      4 383
Einstein tensor      19 133 160 173
EIT      xi 69-73 77-80 82
Elliptic      203 339
Energy gap      91 92 94 171 188 190
Energy-momentum tensor      see stress-energy tensor
Entanglement      90 215 221 223 227 230 236 237
Enthalpy      249 349 371
entropy      xii 88-90 98 141 160 174 237 258 259 261 344 349
Ergoregion      9-12 20-22 91 98 104
Euler - Heisenberg Lagrangian      xiii 12 288 289 292-293
Euler - Lagrange equations      4 369
Euler equation      16-18 21 25 252- 259 349
Event horizon      9-13 20 36 214-218 220 222 225 226 228 229 234
Extrinsic curvature      see second fundamental tensor
Fermat's principle      3
Fermi energy      92
Fermi momentum      91 92
Fermi velocity      92
Feynman diagrams      231 232 239
Feynman rules      181
Flowing fluid      2 8 9 12 15 92 367
Fluid, non-relativistic      247
Fock space      222 223
Foucault pendulum      200
Fourier component      42 65 139 218
Fourier space      42
Fourier transform      64 65 67 92 311 320 321
Frenet - Serret invariants      308 309 311 313 314 328
Friedmann - Robertson - Walker universe      7 161 163
G $\ddot{o}$ del solution      285 296
Galilean relativity      96
Gamma ray bursts      196
Gauge invariance, emergent      137
Gaussian ensemble      232 233
Gaussian integration      225
General covariance      137
General relativity      285
General relativity, basic definitions      383-384
Geodesic      3-5 215 217 221 224 225 227 232 249 268 271-274 288 289 295-298 304 351 359 383
Geometrical acoustics      9 351
Geometrical optics      6
Gordon metric      12 279 283-285 366
Gravity, emergent      181 182 196
Green function      216 220 229 230 234 235 239
Gross - Pitaevskii equation      38 41 42 44 45 47 184 367
Group velocity      121 123
Had a mar d discontinuities      269 279
Hadamard singularity      235
Hamilton ray equation      359

Hamilton's principle      300
Hawking effect      14 37 88-91 93 97-99 102 104 105
Hawking estimates      26-27
Hawking modes      89
Hawking pair      98 104
Hawking photons      xiii
Hawking quanta      89 104 214-218 220 222 223 232
Hawking radiation      xi 13-15 23 28 29 36-55 214 215 217-223 232 240 308 328 372 375
Hawking temperature      89-91 93 97 98 110
Hawking temperature, acoustic      111
Heisenberg ferromagnet      187 190
Heisenberg picture      223
Helicoid      317
Helium four      91 128 129 135-138 141 148 150 152 155 157 246 247 253 254 258
Helium four, solidification      120
Helium three      xii 128 135-137 141 152 246 247
Helium three - B      156
Helium tree - A      91 129 135 137 141 156 159-161
Hilbert space      89
Horizon      180 181 183 185 187 190-196
Hydrodynamics      371
Hydrodynamics, emergent      182
Hydrodynamics, two-fluid      135
Hyperbolic      18 104 110 203 339 368 371
Hypersonic flow      113-117
Index gradient method      4 6
Induced gravity      xii 28 373-374
Infinite-redshift surface      180 183 190 195
Influence functional      231 232
Information loss      89 90 100 105
Information paradox      xii 181
Invariant distance      383
Iordanskii force      336
Irrotational      15 16 252-254 256
Ising phase      187 190
Jacobi action      254 256
Jacobi equation      5 384
Jordan - Brans - Dicke theory      204-209
Josephson junctions      329
Kalb - Ramond potential      255
Kepler orbit      204
Kerr geometry      21
Killing energy      236
Killing temperature      97
Killing vector      320 321
Klein - Gordon equation      328 339
Landau - Ginzburg Lagrangian      367
Landau - Ginzburg model      257
Landau model      135 246 258 260
Landau velocity      43 91 117 339
Langevin pressure      344 345
Laplacian      203
Lapse function      351
Large - N limit      214-237
Large - N limit, details      237-240
Lattice      89
Laval nozzle      19 113 115 117
Legendre transformation      250
Leptons      141
Levi - Civita tensor      269
Lie derivative      354
Lindblad operator      64 65
Lindblad's theorem      63
Line element      95 96 99 101
Longuet - Higgins - Stuart energy law      358
Lorentz invariance      140 238
Lorentz invariance, breakdown      16 28 147 220 233 236 239 374-375
Lorentz invariance, emergent      137
Lorentzian geometry      6-9 15 18 28
Lorentzian signature      18 371
Massless relativistic field      91
Master equation      63
Maxwell action      xiii
Maxwell electrodynamics      268 271 279 280 288-290 292 297
Maxwell electrodynamics, generalized      268
Maxwell equation      328
Maxwell equation, generalized      280
Maxwell fisheye      7
Mean-field approximation      183
Minimally coupled massless scalar      18
Minkowski momentum      336
Mode conversion      89
Near horizon physics      215-223 226 227 229 230 232 234-237
Neutron drip      246
Neutron star      246 253 258
Neutron superfluid      246
Nonlinear dielectrics      279-281
Nonlinear dielectrics, moving      281-289
Nonlinear electrodynamics      12 269-278 289-298 367
Nonlinear field theory      268-304
Nonlinear media      268 285
Normal modes      368
Ocean tides      384
Optical black hole      xii 82
Optical distance      3 4
Optical event horizon      62
Order parameter      184 187
Out-coupler      39 40 49
Painlev $\acute{e}$ - Gullstrand coordinates      25
Pantograph      338-340
Parker wind      12 368
Pauli principle      98
Permittivity      282 286
Phase transition      180-183 187 188 190 194 195
phase velocity      121 123
Phonon      111 115-118 134 137 141 145 146 148 153 157 171 246 255 260 261
Physical acoustics      9
Planck regime      xiii 88
Planck scale      128 129 132 133 138 142 146-148 151 153-155 157 158 162-165 170 173 215 217-223 226 230 233 236 240
Planetary-scale mass      1
Polarization tensor      279 282
Power law      203
Primordial black holes      110
Proper time      383
Pseudo - Riemannian geometry      6-9 18
Pseudo-energy      355 359
Pseudo-gravity      200
Pseudo-momentum      139 145 336-361
Pulsar      246
Quantum field theory, effective      182
Quantum field theory, renormalizable      182
Quantum gravity      105 214 219 220 234 236 238
Quantum liquid      128 129 133-138 148-149 152-157 159 162-165 170-173
Quantum potential      371
Quantum solid      137
Quarks      141
Quasi-gravity      200-209
Quasiparticle      xii 10 13 28 47 53-55 91-98 101 102 104 128 130 134 137 140-145 147 153-155 157 163 164 166 167 171 173 367
Quintessence      129 158 173
Rabi frequency      66 75
Radiation pressure      341-345
Random medium      214
Rayleigh      341
Rayleigh pressure      344 345
Recta      314
Redshift      112
Refractive index      3 7 8
Regularization      163 164
Reissner - Nordstrom geometry      295
Renormalizable      182
Ricci scalar      131 384
Ricci tensor      19 384
Riemann tensor      5 6 160 384
Riemann zeta function      163
Riemannian geometry      4 5
Roton      117-119 260
Russian doll structure      220
S-matrix      181 235
Sakharov gravity      xii 28 133 134 173 373 374
Scale anomaly      275 289-293

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