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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