Self-Organized Criticality in Astrophysics: The Statistics of Nonlinear Processes in the Universe

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Springer Science & Business Media, 11.01.2011 - 416 Seiten

Markus Aschwanden introduces the concept of self-organized criticality (SOC) and shows that due to its universality and ubiquity it is a law of nature for which he derives the theoretical framework and specific physical models in this book. He begins by providing an overview of the many diverse phenomena in nature which may be attributed to SOC behaviour.

The author then introduces the classic lattice-based SOC models that may be explored using numerical computer simulations. These simulations require an in-depth knowledge of a wide range of mathematical techniques which the author introduces and describes in subsequent chapters. These include the statistics of random processes, time series analysis, time scale distributions, and waiting time distributions. Such mathematical techniques are needed to model and understand the power-law-like occurrence frequency distributions of SOC phenomena. Finally, the author discusses fractal geometry and scaling laws before looking at a range of physical SOC models which may be applicable in various aspects of astrophysics. Problems, solutions and a glossary will enhance the pedagogical usefulness of the book.

SOC has been receiving growing attention in the astrophysical and solar physics community. This book will be welcomed by students and researchers studying complex critical phenomena.

 

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Inhalt

1 SelfOrganized Criticality Phenomena
1
2 Numerical SOC Models
37
3 Analytical SOC Models
82
4 Statistics of Random Processes
111
5 WaitingTime Distributions
139
6 Event Detection Methods
171
7 Occurrence Frequency Distributions
201
8 Fractal Geometry
249
10 SOCLike Models
321
Appendices
347
Notation
349
Acronyms
353
PublicWebsites
356
References
359
Index
391
Urheberrecht

9 Physical SOC Models
287

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