Self-organized criticality in astrophysics: the statistics of nonlinear processes in the universe
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| Format: | Book |
| Language: | English |
| Series: | Springer Praxis Books Astronomy and Planetary Sciences
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| Online Access: | Einführung/Vorwort Inhaltsverzeichnis Inhaltstext Inhaltsverzeichnis |
| Physical Description: | XIV, 416 Seiten Illustrationen, Diagramme |
| ISBN: | 9783642150005 |
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Record in the Search Index
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IMAGE 1
CONTENTS
PREFACE XIII
1. SELF-ORGANIZED CRITICALITY PHENOMENA 1
1.1 THE CONCEPT OF SELF-ORGANIZED CRITICALITY 1
1.2 SOC LABORATORY EXPERIMENTS 5
1.3 SOC IN HUMAN ACTIVITIES 7
1.4 SOC IN BIOPHYSICS 12
1.5 SOC IN GEOPHYSICS 14
1.6 SOC IN MAGNETOSPHERIC PHYSICS 19
1.7 SOC IN PLANETARY PHYSICS 22
1.8 SOC IN SOLAR PHYSICS 23
1.9 SOC IN STELLAR PHYSICS 28
1.10 SOC IN GALAXIES AND COSMOLOGY 32
1.11 SUMMARY 34
1.12 PROBLEMS 35
2. NUMERICAL SOC MODELS 37
2.1 SOC SIMULATIONS OF LABORATORY EXPERIMENTS 38
2.1.1 COUPLED PENDULUMS 38
2.1.2 THE BAK-TANG-WIESENFELD 1 -D SANDPILE MODEL 39
2.1.3 THE BAK-TANG-WIESENFELD 2-D SANDPILE MODEL 41
2.1.4 THE LATTICE-GAS MODEL 44
2.2 SOC SIMULATIONS OF HUMAN ACTIVITIES 46
2.2.1 CONWAY'S GAME OF LIFE MODEL 46
2.2.2 TRAFFIC JAM SIMULATIONS 47
2.2.3 FINANCIAL MARKET SIMULATIONS 50
2.3 SOC SIMULATIONS IN BIOPHYSICS 51
2.3.1 THE PUNCTUATED EQUILIBRIUM (BAK-SNEPPEN MODEL) 51 2.4 SOC
SIMULATIONS IN GEOPHYSICS 53
2.4.1 SLIDER-BLOCK SPRING MODEL 53
2.4.2 THE FOREST-FIRE MODEL 54
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/1004244029
DIGITALISIERT DURCH
IMAGE 2
VID CONTENTS
2.5 SOC SIMULATIONS IN MAGNETOSPHERIC PHYSICS 57
2.5.1 SOC MODEL WITH FINITE SYSTEM SIZE 57
2.5.2 CELLULAR AUTOMATON MODEL WITH DISCRETIZED MHD 58
2.6 SOC SIMULATIONS IN SOLAR PHYSICS 63
2.6.1 ISOTROPIE CELLULAR AUTOMATON MODELS 63
2.6.2 ANISOTROPIE CELLULAR AUTOMATON MODELS 67
2.6.3 DISCRETIZED MHD CELLULAR AUTOMATON MODELS 70
2.6.4 DIVERGENCE-FREE FIELD BRAIDING MODELS 73
2.6.5 BRANCHING PROCESS MODELS 77
2.7 SOC SIMULATIONS IN ASTROPHYSICS 77
2.7.1 CELLULAR AUTOMATON MODEL OF ACCRETION DISK FLUCTUATIONS 78 2.8
SUMMARY 81
2.9 PROBLEMS 81
3. ANALYTICAL SOC MODELS 83
3.1 THE EXPONENTIAL-GROWTH MODEL 84
3.2 THE POWERLAW-GROWTH MODEL 89
3.3 THE LOGISTIC-GROWTH MODEL 94
3.4 ANALYTICAL FIT TO NUMERICAL SOC SIMULATIONS 98
3.5 INERTIAL RANGE, LOWER AND UPPER CUTOFF 102
3.6 CONTINUUM LIMIT OF CELLULAR AUTOMATON MODEL 105
3.7 SUMMARY 109
3.8 PROBLEMS 109
4. STATISTICS OF RANDOM PROCESSES I LL
4.1 BINOMIAL DISTRIBUTION 112
4.2 GAUSSIAN DISTRIBUTION 115
4.3 POISSON DISTRIBUTION 117
4.4 EXPONENTIAL DISTRIBUTION 119
4.5 COUNT RATE STATISTICS 122
4.6 WHITE NOISE 122
4.7 L//"POWER SPECTRA NOMENCLATURE 126
4.8 SHOT NOISE OR FLICKER NOISE 129
4.8.1 DERIVATION OF SCHOTTKY'S THEOREM 129
4.8.2 SHOT NOISE SPECTRUM FOR RECTANGULAR PULSES 131
4.8.3 SHOT NOISE SPECTRUM FOR EXPONENTIAL-DECAY PULSES 132 4.8.4 SHOT
NOISE SPECTRUM AND DISTRIBUTION OF PULSE DURATIONS 133 4.9 LOG-NORMAL
DISTRIBUTION 135
4.10 SUMMARY 137
4.11 PROBLEMS 137
5. WAITING-TIME DISTRIBUTIONS 139
5.1 WAITING TIMES 140
5.2 NONSTATIONARY WAITING-TIME STATISTICS 142
5.3 MEASUREMENT OF WAITING TIMES 146
IMAGE 3
CONTENTS IX
5.4 WAITING-TIME STATISTICS IN GEOPHYSICS 149
5.5 WAITING-TIME STATISTICS IN MAGNETOSPHERIC PHYSICS 151
5.6 WAITING-TIME STATISTICS IN SOLAR PHYSICS 153
5.6.1 SOLAR FLARE HARD X-RAYS 154
5.6.2 SOLAR FLARE SOFT X-RAYS 159
5.6.3 CORONAL MASS EJECTIONS 162
5.6.4 SOLAR RADIO BURSTS 163
5.6.5 SOLAR WIND 163
5.7 WAITING-TIME STATISTICS IN ASTROPHYSICS 165
5.7.1 FLARE STARS 165
5.7.2 BLACK HOLE ACCRETION DISKS 167
5.8 SUMMARY 169
5.9 PROBLEMS 170
6. EVENT DETECTION METHODS 171
6.1 TEST DATA FOR EVENT DETECTION 172
6.2 THRESHOLD-BASED EVENT DETECTION 174
6.3 HIGHPASS-FILTERED EVENT DETECTION 180
6.4 PEAK-BASED EVENT DETECTION 182
6.5 FOURIER-FILTERED EVENT DETECTION 182
6.6 TIME SCALE STATISTICS FROM POWER SPECTRA 184
6.7 WAVELET-BASED TIME SCALE STATISTICS 187
6.8 PRINCIPAL COMPONENT ANALYSIS 191
6.9 IMAGE-BASED EVENT DETECTION 193
6.10 SUMMARY 198
6.11 PROBLEMS 200
7. OCCURRENCE FREQUENCY DISTRIBUTIONS 201
7.1 BASICS OF FREQUENCY DISTRIBUTION FUNCTIONS 202
7.1.1 DIFFERENTIAL FREQUENCY DISTRIBUTIONS 202
7.1.2 CUMULATIVE FREQUENCY DISTRIBUTIONS 203
7.1.3 RANK-ORDER PLOTS 206
7.1.4 NUMERICAL GENERATION OF FREQUENCY DISTRIBUTIONS 208 7.1.5
INTEGRALS OF POWERLAW DISTRIBUTIONS 210
7.1.6 POWERLAW SCALING LAWS AND CORRELATIONS 211
7.1.7 ACCURACY OF POWERLAW FITS 212
7.2 FREQUENCY DISTRIBUTIONS IN MAGNETOSPHERIC PHYSICS 214
7.3 FREQUENCY DISTRIBUTIONS IN SOLAR PHYSICS 217
7.3.1 SOLAR FLARE HARD X-RAYS 217
7.3.2 SOLAR FLARE SOFT X-RAYS 224
7.3.3 SOLAR FLARE EXTREME ULTRAVIOLET EMISSION 229
7.3.4 SOLAR RADIO EMISSION 233
7.3.5 SOLAR ENERGETIC PARTICLE (SEP) EVENTS 237
7.4 FREQUENCY DISTRIBUTIONS IN ASTROPHYSICS 238
7.4.1 STELLAR FLARES 239
IMAGE 4
X CONTENTS
7.4.2 PULSAR GLITCHES 242
7.4.3 SOFT GAMMA-RAY REPEATERS 244
7.4.4 BLACK HOLE OBJECTS 245
7.4.5 BLAZARS 246
7.5 SUMMARY 247
7.6 PROBLEMS 248
8. FRACTAL GEOMETRY 249
8.1 1-D FRACTALS 250
8.1.1 THE CANTOR SET AND KOCH CURVE 250
8.1.2 IRREGULARITY OF TIME SERIES 251
8.1.3 VARIABILITY OF SOLAR RADIO EMISSION 253
8.2 2-D FRACTALS 256
8.2.1 HAUSDORFF DIMENSION AND BOX-COUNTING METHOD 257 8.2.2 SOLAR
PHOTOSPHERE AND CHROMOSPHERE 259
8.2.3 SOLAR FLARES 262
8.3 3-D FRACTALS 267
8.3.1 CELLULAR AUTOMATON SIMULATIONS 268
8.3.2 SOLAR FLARES 270
8.4 MULTIFRACTAL ANALYSIS 273
8.5 SPATIAL POWER SPECTRUM ANALYSIS 275
8.6 STATISTICS OF SPATIAL SCALES 277
8.6.1 SOLAR PHOTOSPHERE AND CHROMOSPHERE 277
8.6.2 SOLAR FLARES 279
8.6.3 LUNAR CRATERS 280
8.6.4 ASTEROID BELT 282
8.6.5 SATURN RING 283
8.7 SUMMARY 285
8.8 PROBLEMS 285
9. PHYSICAL SOC MODELS 287
9. 1 A GENERAL (PHYSICS-FREE) DEFINITION OF SOC 288
9.2 ASTROPHYSICS 289
9.2.1 GALAXY FORMATION 289
9.2.2 STAR FORMATION 290
9.2.3 BLAZARS 291
9.2.4 NEUTRON STAR PHYSICS 293
9.2.5 BLACKHOLE OBJECTS AND ACCRETION DISKS 295
9.2.6 COSMIC RAYS 296
9.3 SOLAR AND STELLAR PHYSICS 298
9.3.1 MAXWELL'S ELECTRODYNAMICS 298
9.3.2 THE SOLAR DYNAMO 299
9.3.3 MAGNETIC FIELD BRAIDING 301
9.3.4 MAGNETIC RECONNECTION IN SOLAR/STELLAR FLARES 304
9.3.5 THERMAL ENERGY OF FLARE PLASMA 306
IMAGE 5
CONTENTS XI
9.3.6 NONTHERMAL ENERGY OF FLARES 308
9.3.7 PARTICLE ACCELERATION 311
9.3.8 COHERENT RADIO EMISSION 313
9.3.9 MASTER EQUATION 314
9.4 MAGNETOSPHERIC PHYSICS 315
9.4.1 CORONAL MASS EJECTIONS AND MAGNETOSPHERIC STORMS 315 9.4.2
HELIOSPHERIC FIELD AND MAGNETOSPHERIC SUBSTORMS 316 9.5 SUMMARY 319
9.6 PROBLEMS 320
10. SOC-LIKE MODELS 321
10.1 HIERARCHICAL SOC SYSTEMS 322
10.2 SELF-ORGANIZATION WITHOUT CRITICALITY 324
10.3 BROWNIAN MOTION AND DIFFUSION 326
10.4 MHD TURBULENCE 329
10.4.1 SOLAR CORONA 329
10.4.2 SOLAR WIND 332
10.4.3 MAGNETOSPHERIC SUBSTORMS 334
10.4.4 INTERSTELLAR MEDIUM 335
10.5 FORCED CRITICALITY MODELS 337
10.5.1 MAGNETOSPHERIC PHYSICS 337
10.6 PERCOLATION MODELS 338
10.6.1 SOLAR ACTIVE REGIONS 339
10.7 NONLINEAR CHAOTIC SYSTEMS 340
10.7.1 ASTROPHYSICS 341
10.7.2 SOLAR PHYSICS 342
10.8 SUMMARY 344
10.9 PROBLEMS 345
APPENDICES 347
APPENDIX A: PHYSICAL CONSTANTS 347
APPENDIX B: PLASMA PARAMETERS 348
NOTATION 349
PHYSICAL UNITS SYMBOLS 349
LATIN SYMBOLS 349
GREEK SYMBOLS 351
ACRONYMS 353
IMAGE CREDIT: PUBLIC WEBSITES 357
REFERENCES 359
INDEX 391 |
| any_adam_object | 1 |
| author | Aschwanden, Markus |
| author_facet | Aschwanden, Markus |
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| dewey-ones | 520 - Astronomy and allied sciences |
| dewey-raw | 520 |
| dewey-search | 520 |
| dewey-sort | 3520 |
| dewey-tens | 520 - Astronomy and allied sciences |
| discipline | Physik |
| format | Book |
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| spelling | Aschwanden, Markus Verfasser aut Self-organized criticality in astrophysics the statistics of nonlinear processes in the universe Markus Aschwanden Berlin ; Heidelberg Springer 2011 XIV, 416 Seiten Illustrationen, Diagramme txt rdacontent n rdamedia nc rdacarrier Springer Praxis Books Astronomy and Planetary Sciences Kritisches Phänomen (DE-588)4165788-3 gnd rswk-swf Nichtlineare Dynamik (DE-588)4126141-0 gnd rswk-swf Astrophysik (DE-588)4003326-0 gnd rswk-swf Selbst organisierendes System (DE-588)4054424-2 gnd rswk-swf Astrophysik (DE-588)4003326-0 s Nichtlineare Dynamik (DE-588)4126141-0 s Selbst organisierendes System (DE-588)4054424-2 s Kritisches Phänomen (DE-588)4165788-3 s DE-604 Online-Ausg Self-Organized Criticality in Astrophysics Berlin, Heidelberg : Springer, 2011 Online-Ressource (XIV, 420 p, digital) 978-3-642-15001-2 9783642150012 DE-576;springer application/pdf http://swbplus.bsz-bw.de/bsz337936536vor.htm 20141106145108 Einführung/Vorwort DE-576;springer application/pdf http://swbplus.bsz-bw.de/bsz337936536inh.htm 20110329175558 Inhaltsverzeichnis text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3500767&prov=M&dok%5Fvar=1&dok%5Fext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030788838&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Aschwanden, Markus Self-organized criticality in astrophysics the statistics of nonlinear processes in the universe Kritisches Phänomen (DE-588)4165788-3 gnd Nichtlineare Dynamik (DE-588)4126141-0 gnd Astrophysik (DE-588)4003326-0 gnd Selbst organisierendes System (DE-588)4054424-2 gnd |
| subject_GND | (DE-588)4165788-3 (DE-588)4126141-0 (DE-588)4003326-0 (DE-588)4054424-2 |
| title | Self-organized criticality in astrophysics the statistics of nonlinear processes in the universe |
| title_auth | Self-organized criticality in astrophysics the statistics of nonlinear processes in the universe |
| title_exact_search | Self-organized criticality in astrophysics the statistics of nonlinear processes in the universe |
| title_full | Self-organized criticality in astrophysics the statistics of nonlinear processes in the universe Markus Aschwanden |
| title_fullStr | Self-organized criticality in astrophysics the statistics of nonlinear processes in the universe Markus Aschwanden |
| title_full_unstemmed | Self-organized criticality in astrophysics the statistics of nonlinear processes in the universe Markus Aschwanden |
| title_short | Self-organized criticality in astrophysics |
| title_sort | self organized criticality in astrophysics the statistics of nonlinear processes in the universe |
| title_sub | the statistics of nonlinear processes in the universe |
| topic | Kritisches Phänomen (DE-588)4165788-3 gnd Nichtlineare Dynamik (DE-588)4126141-0 gnd Astrophysik (DE-588)4003326-0 gnd Selbst organisierendes System (DE-588)4054424-2 gnd |
| topic_facet | Kritisches Phänomen Nichtlineare Dynamik Astrophysik Selbst organisierendes System |
| url | http://swbplus.bsz-bw.de/bsz337936536vor.htm http://swbplus.bsz-bw.de/bsz337936536inh.htm http://deposit.dnb.de/cgi-bin/dokserv?id=3500767&prov=M&dok%5Fvar=1&dok%5Fext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030788838&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT aschwandenmarkus selforganizedcriticalityinastrophysicsthestatisticsofnonlinearprocessesintheuniverse |
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