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## Details

Genre/Form: | Electronic books |
---|---|

Additional Physical Format: | Print version: Pruessner, Gunnar, 1973- Self-organised criticality. Cambridge, UK ; New York : Cambridge University Press, 2012 (DLC) 2011023678 (OCoLC)664324535 |

Material Type: | Document, Internet resource |

Document Type: | Internet Resource, Computer File |

All Authors / Contributors: |
Gunnar Pruessner |

ISBN: | 9781139525602 1139525603 9780511977671 0511977670 9781139527996 1139527991 |

OCLC Number: | 810924644 |

Description: | 1 online resource. |

Contents: | Cover; Self-Organised Criticality: Theory, Models and Characterisation; Title; Copyright; Dedication; Contents; Tables; Foreword by Henrik J. Jensen; Preface; Style; Structure; Keywords, notes and indices; Numerics; Acknowledgments; Symbols; PART I: INTRODUCTION; 1: Introduction; 1.1 Reviews; 1.2 Basic ingredients; 1.3 Basic observables and observations; 1.3.1 Simple scaling; 1.3.2 1/ f noise; 1.3.3 Edge of chaos; 1.3.4 The signature of SOC; 1.4 Universality; 1.4.1 Universal quantities; 1.4.2 Universality classes of SOC; 2: Scaling; 2.1 Distribution functions; 2.1.1 Upper and lower cutoffs 2.1.2 Scaling function2.1.2.1 Apparent exponent; 2.1.2.2 Constraints; 2.1.2.3 The bump; 2.1.3 Two examples; 2.2 Moments; 2.2.1 Moment ratios; 2.2.2 Joint distributions and conditional moments; 2.2.3 Moment and cumulant generating functions; 2.3 Algebraic correlations; 2.3.1 Coarse graining and block scaling; 2.4 Multiscaling; 3: Experiments and observations; 3.1 Granular media; 3.2 Superconductors; 3.2.1 Superfluid helium; 3.3 Barkhausen effect; 3.3.1 Mechanical instabilities; 3.4 Earthquakes; 3.5 Evolution; 3.6 Neural networks; 3.7 Other systems; 3.7.1 Meteorology; 3.7.2 High energy physics 3.7.3 Ecology, epidemiology and population dynamics3.7.4 Physiology; 3.7.5 Financial markets, sociology and psychology; 3.7.6 Virtual, electrical and data networks; 3.8 A very brief conclusion; PART II: MODELS AND NUMERICS; 4: Deterministic sandpiles; 4.1 The BAK-TANG-WIESENFELD Model; 4.1.1 Higher dimensions; 4.1.2 The Abelian symmetry; 4.2 Dhar's Abelian Sandpile Model; 4.2.1 Operator approach to the ASM; 4.2.2 Analytical results for the two-dimensional Abelian BTW Model; 4.2.3 A directed sandpile; 4.2.4 Numerical results; 4.3 The ZHANG Model; 4.3.1 Relation to the BTW Model 4.3.2 Non-Abelian dynamics4.3.3 Energy histogram; 4.3.4 Analytical approaches; 4.3.5 Numerical results; 5: Dissipative models; 5.1 The BAK-CHEN-TANG Forest Fire Model; 5.1.1 Critique; 5.2 The DROSSEL-SCHWABL Forest Fire Model; 5.2.1 Double separation of time scales; 5.2.2 Lack of scaling in the two-dimensional DS-FFM; 5.2.3 Analytical approaches; 5.2.4 Physical relevance; 5.2.5 Numerical methods; 5.2.5.1 Numerical results; 5.3 The OLAMI-FEDER-CHRISTENSEN Model; 5.3.1 Non-conservation; 5.3.1.1 Average avalanche size; 5.3.1.2 Marginal phase locking |

Responsibility: | Gunnar Pruessner. |

More information: |

### Abstract:

An overview of results and methods, written for graduates and researchers in physics, mathematics, biology, sociology, finance, medicine and engineering.
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