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Self-Organized Criticality Emergent Complex Behavior in Physical and Biological Systems

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ISBN-10: 0521483719

ISBN-13: 9780521483711

Edition: 1998

Authors: Henrik Jeldtoft Jensen, Peter Goddard, Julia Yeomans

List price: $65.99
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Description:

Self-organized criticality (SOC) is based upon the idea that complex behaviour can develop spontaneously in certain multi-body systems whose dynamics vary abruptly. This book provides a concise introduction to SOC.
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Book details

List price: $65.99
Copyright year: 1998
Publisher: Cambridge University Press
Publication date: 1/13/1998
Binding: Paperback
Pages: 170
Size: 6.02" wide x 8.98" long x 0.75" tall
Weight: 0.550

Piers Robinson is Senior Lecturer in International Politics at the University of ManchesterPeter Goddard is Senior Lecturer in the Department of Communication and Media at the University of Liverpool

Preface
Acknowledgment
Introduction
Characterization of the SOC State
Response Distributions
Temporal Fluctuations
Power Spectrum and Distribution of Lifetimes
Spatial Correlation Functions
Systems Exhibiting SOC
Introduction
Sandpiles
Ricepiles
Superconducting Avalanches
Droplet Formation
Earthquakes
Evolution
Computer Models
Introduction
Sandpiles: Conservative Model
One-Dimensional Sandpile
Dimensions Larger than 1
Critical Response
Numerical Results: Distribution Functions
Power Spectrum
Earthquake Models: Nonconservative Models
Criticality of the OFC Model
Nearest Neighbor OFC Model
Random Neighbor OFC Model
Distributions and Fluctuations in the Nearest Neighbor OFC Model
The Effect of Disorder on the OFC Model
Physical Relevance of the OFC Model
Lattice Gas
Definition of the Lattice Gas Model
Properties of Lattice Gas
The Lesson of Lattice Gas
Physical Relevance of the Lattice Gas Model
Forest Fires
Definition of a Critical Forest Fire Model
Simulation Results for the Forest Fire Model
Physical Relevance of the Forest Fire Model
Extremum Dynamics
The Model of Interface Growth in a Random Medium
The Evolution Model
The Search for a Formalism
Introduction
Mean Field Theory
Sandpile Models
Earthquake Models
Diffusive Description of Lattice Gas
Forest Fire Model
Model of Biological Evolution
Exact Solution of the Abelian Sandpile
The [Delta] Matrix and the Probability Measure on the Configuration Space
Correlation Functions
Langevin Equations
Conservative Models
Nonconservative Models
Dynamically Driven Renormalization Group Calculations
Renormalization Transformation
Exponents
Nonconservative Models
Forest Fire Models
Is It SOC or Not?
Where Is SOC to be Found?
What Is Tuning?
Appendices
Code for the BTW Sandpile
Code for the Lattice Gas
Code for the Bak-Sneppen Evolution Model
Power Spectra and the Correlation Function
Statistical Weights in the DDRG
References
Index