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Self-organised criticality : theory, models, and characterisation Titelvorschau
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Self-organised criticality : theory, models, and characterisation

Verfasser/in: Gunnar Pruessner
Verlag: Cambridge ; New York : Cambridge University Press, 2012.
Ausgabe/Format   E-Book : Dokument : EnglischAlle Ausgaben und Formate anzeigen
Datenbank:WorldCat
Zusammenfassung:
"Giving a detailed overview of the subject, this book takes in the results and methods that have arisen since the term 'self-organised criticality' was coined twenty years ago. Providing an overview of numerical and analytical methods, from their theoretical foundation to the actual application and implementation, the book is an easy access point to important results and sophisticated methods. Starting with the
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Gattung/Form: Electronic books
Physisches Format Print version:
Pruessner, Gunnar, 1973-
Self-organised criticality.
Cambridge, UK ; New York : Cambridge University Press, 2012
(DLC) 2011023678
(OCoLC)664324535
Medientyp: Dokument, Internetquelle
Dokumenttyp: Internet-Ressource, Computer-Datei
Alle Autoren: Gunnar Pruessner
ISBN: 9781139525602 1139525603 9780511977671 0511977670 9781139527996 1139527991
OCLC-Nummer: 810924644
Beschreibung: 1 online resource.
Inhalt: 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
Verfasserangabe: Gunnar Pruessner.
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Abstract:

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

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