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OverviewMarkus 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. Full Product DetailsAuthor: Markus AschwandenPublisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K Edition: Softcover reprint of the original 1st ed. 2011 Weight: 0.853kg ISBN: 9783662506066ISBN 10: 3662506068 Pages: 416 Publication Date: 23 August 2016 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Manufactured on demand We will order this item for you from a manufactured on demand supplier. Table of ContentsReviewsFrom the reviews: The main aim of the present book is the derivation of the theoretical framework and specific physical models of SOC. ... The present work contains an extensive list of well-chosen references for further reading. The textbook is intended to be an introduction to the relatively new subject of self-organized criticality (SOC), which is suitable for students and post-docs, as well as for researchers. (Claudia-Veronika Meister, Zentralblatt MATH, Vol. 1211, 2011) From the reviews: The main aim of the present book is the derivation of the theoretical framework and specific physical models of SOC. ... The present work contains an extensive list of well-chosen references for further reading. The textbook is intended to be an introduction to the relatively new subject of self-organized criticality (SOC), which is suitable for students and post-docs, as well as for researchers. (Claudia-Veronika Meister, Zentralblatt MATH, Vol. 1211, 2011) Author InformationTab Content 6Author Website:Countries AvailableAll regions |