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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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## Reviews

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Publisher Synopsis

'... a modern, careful and authoritative text on Self-Organised Criticality (SOC) ... an excellent reference book on what SOC is and is not with connections to theory (analytical and simulations), experiments, and applications. The foreword by H. J. Jensen nicely describes the controversy surrounding SOC and its history.' Donald T. Jacobs, American Journal of Physics Read more...

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