Self-organized criticality: emergent complex behavior in physical and biological systems
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge [u.a.]
Cambridge Univ. Press
1998
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| Edition: | 1. publ. |
| Series: | Cambridge lecture notes in physics
10 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIII, 153 S. Ill., graph. Darst. |
| ISBN: | 0521483719 |
Staff View
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Record in the Search Index
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| adam_text | SELF-ORGANIZED CRITICALITY EMERGENT COMPLEX BEHAVIOR IN PHYSICAL AND
BIOLOGICAL SYSTEMS HENRIK JELDTOFT JENSEN IMPERIAL COLLEGE CAMBRIDGE
UNIVERSITY PRESS CONTENTS PREFACE PAGE XI ACKNOWLEDGMENT XIII 1
INTRODUCTION 1 2 CHARACTERIZATION OF THE SOC STATE 7 2.1 RESPONSE
DISTRIBUTIONS 7 2.2 TEMPORAL FLUCTUATIONS 8 2.3 POWER SPECTRUM AND
DISTRIBUTION OF LIFETIMES 9 2.4 SPATIAL CORRELATION FUNCTIONS 10 3
SYSTEMS EXHIBITING SOC 12 3.1 INTRODUCTION 12 3.2 SANDPILES 14 3.3
RICEPILES .. 16 3.4 SUPERCONDUCTING AVALANCHES 18 3.5 DROPLET FORMATION
23 3.6 EARTHQUAKES 25 3.7 EVOLUTION 27 4 COMPUTER MODELS 29 4.1
INTRODUCTION 29 4.2 SANDPILES: CONSERVATIVE MODEL 29 4.2.1
ONE-DIMENSIONAL SANDPILE 30 4.2.2 DIMENSIONS LARGER THAN 1 33 4.2.3
CRITICAL RESPONSE 36 4.2.4 NUMERICAL RESULTS: DISTRIBUTION FUNCTIONS 37
4.2.5 POWER SPECTRUM 39 4.3 EARTHQUAKE MODELS: NONCONSERVATIVE MODELS 42
4.3.1 CRITICALITY OF THE OFC MODEL , 44 4.3.2 NEAREST NEIGHBOR OFC MODEL
44 4.3.3 RANDOM NEIGHBOR OFC MODEL 46 VH VIII CONTENTS 4.3.4
DISTRIBUTIONS AND FLUCTUATIONS IN THE NEAREST NEIGHBOR OFC MODEL 47
4.3.5. THE EFFECT OF DISORDER ON THE OFC MODEL 51 4.3.6 PHYSICAL
RELEVANCE OF THE OFC MODEL 54 4.4 LATTICE GAS 58 4.4.1 DEFINITION OF THE
LATTICE GAS MODEL 58 4.4.2 PROPERTIES OF LATTICE GAS 60 4.4.3 THE LESSON
OF LATTICE GAS 62 4.4.4 PHYSICAL RELEVANCE OF THE LATTICE GAS MODEL 64
4.5 FOREST FIRES 65 4.5.1 DEFINITION OF A CRITICAL FOREST FIRE MODEL 66
4.5.2 SIMULATION RESULTS FOR THE FOREST FIRE MODEL 67 4.5.3 PHYSICAL
RELEVANCE OF THE FOREST FIRE MODEL 68 4.6 EXTREMUM DYNAMICS 68 4.6.1 THE
MODEL OF INTERFACE GROWTH IN A RANDOM MEDIUM 69 4.6.2 THE EVOLUTION
MODEL 73 5 THE SEARCH FOR A FORMALISM 76 5.1 INTRODUCTION 76 5.2 MEAN
FIELD THEORY 77 5.2.1 SANDPILE MODELS 78 5.2.2 EARTHQUAKE MODELS - 81
5.2.3 DIFFUSIVE DESCRIPTION OF LATTICE GAS 85 5.2.4 FOREST FIRE MODEL 86
5.2.5 MODEL OF BIOLOGICAL EVOLUTION 89 5.3 EXACT SOLUTION OF THE ABELIAN
SANDPILE 92 5.3.1 THE A MATRIX AND THE PROBABILITY MEASURE ON THE
CONFIGURATION SPACE 93 5.3.2 CORRELATION FUNCTIONS 97 5.4 LANGEVIN
EQUATIONS 100 5.4.1 CONSERVATIVE MODELS 100 5.4.2 NONCONSERVATIVE MODELS
103 5.5 DYNAMICALLY DRIVEN RENORMALIZATION GROUP CALCULATIONS 107 5.5.7
RENORMALIZATION TRANSFORMATION 108 5.5.2 EXPONENTS 116 5.5.3
NONCONSERVATIVE MODELS 119 5.5.4 FOREST FIRE MODELS 124 6 IS IT SOC OR
NOT? 125 6. 1 WHERE IS SOC TO BE FOUND? 126 6.2 WHAT IS TUNING? 127
CONTENTS IX APPENDICES A CODE FOR THE BTW SANDPILE 131 B CODE FOR THE
LATTICE GAS 134 C CODE FOR THE BAK-SNEPPEN EVOLUTION MODEL 138 D POWER
SPECTRA AND THE CORRELATION FUNCTION 14 1 E STATISTICAL WEIGHTS IN THE
DDRG 146 REFERENCES 149 INDEX 153
|
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| author | Jensen, Henrik Jeldtoft 1956- |
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| author_facet | Jensen, Henrik Jeldtoft 1956- |
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| dewey-tens | 000 - Computer science, information, general works |
| discipline | Physik Informatik Philosophie |
| edition | 1. publ. |
| format | Book |
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| indexdate | 2024-07-09T18:18:43Z |
| institution | BVB |
| isbn | 0521483719 |
| language | English |
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| physical | XIII, 153 S. Ill., graph. Darst. |
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| spelling | Jensen, Henrik Jeldtoft 1956- Verfasser (DE-588)131894528 aut Self-organized criticality emergent complex behavior in physical and biological systems Henrik Jeldtoft Jensen 1. publ. Cambridge [u.a.] Cambridge Univ. Press 1998 XIII, 153 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Cambridge lecture notes in physics 10 Complexité (Philosophie) Physique - Philosophie Phénomène critique (Physique) Philosophie Complexity (Philosophy) Critical phenomena (Physics) Physics Philosophy Kritisches Phänomen (DE-588)4165788-3 gnd rswk-swf Selbstorganisation (DE-588)4126830-1 gnd rswk-swf Biologie (DE-588)4006851-1 gnd rswk-swf Selbstorganisation (DE-588)4126830-1 s Biologie (DE-588)4006851-1 s DE-604 Kritisches Phänomen (DE-588)4165788-3 s Cambridge lecture notes in physics 10 (DE-604)BV009623742 10 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008064124&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Jensen, Henrik Jeldtoft 1956- Self-organized criticality emergent complex behavior in physical and biological systems Cambridge lecture notes in physics Complexité (Philosophie) Physique - Philosophie Phénomène critique (Physique) Philosophie Complexity (Philosophy) Critical phenomena (Physics) Physics Philosophy Kritisches Phänomen (DE-588)4165788-3 gnd Selbstorganisation (DE-588)4126830-1 gnd Biologie (DE-588)4006851-1 gnd |
| subject_GND | (DE-588)4165788-3 (DE-588)4126830-1 (DE-588)4006851-1 |
| title | Self-organized criticality emergent complex behavior in physical and biological systems |
| title_auth | Self-organized criticality emergent complex behavior in physical and biological systems |
| title_exact_search | Self-organized criticality emergent complex behavior in physical and biological systems |
| title_full | Self-organized criticality emergent complex behavior in physical and biological systems Henrik Jeldtoft Jensen |
| title_fullStr | Self-organized criticality emergent complex behavior in physical and biological systems Henrik Jeldtoft Jensen |
| title_full_unstemmed | Self-organized criticality emergent complex behavior in physical and biological systems Henrik Jeldtoft Jensen |
| title_short | Self-organized criticality |
| title_sort | self organized criticality emergent complex behavior in physical and biological systems |
| title_sub | emergent complex behavior in physical and biological systems |
| topic | Complexité (Philosophie) Physique - Philosophie Phénomène critique (Physique) Philosophie Complexity (Philosophy) Critical phenomena (Physics) Physics Philosophy Kritisches Phänomen (DE-588)4165788-3 gnd Selbstorganisation (DE-588)4126830-1 gnd Biologie (DE-588)4006851-1 gnd |
| topic_facet | Complexité (Philosophie) Physique - Philosophie Phénomène critique (Physique) Philosophie Complexity (Philosophy) Critical phenomena (Physics) Physics Philosophy Kritisches Phänomen Selbstorganisation Biologie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008064124&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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