Self Organized Criticality
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Self Organized Criticality
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Author : Henrik J. Jensen
language : en
Publisher:
Release Date :
Self Organized Criticality written by Henrik J. Jensen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Self-organized criticality (SOC) is based upon the idea that complex behavior can develop spontaneously in certain multi-body systems whose dynamics vary abruptly. This book is a clear and concise introduction to the field of self-organized criticality, and contains an overview of the main research results. The author begins with an examination of what is meant by SOC, and the systems in which it can occur. He then presents and analyzes computer models to describe a number of systems, and he explains the different mathematical formalisms developed to understand SOC. The final chapter assesses the impact of this field of study, and highlights some key areas of new research. The author assumes no previous knowledge of the field, and the book contains several exercises. It will be ideal as a textbook for graduate students taking physics, engineering, or mathematical biology courses in nonlinear science or complexity.
Self Organized Criticality In Earth Systems
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Author : Stefan Hergarten
language : en
Publisher: Springer Science & Business Media
Release Date : 2002-05-27
Self Organized Criticality In Earth Systems written by Stefan Hergarten and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-05-27 with Mathematics categories.
Self-organized criticality (SOC) has become a magic word in various scientific disciplines; it provides a framework for understanding complexity and scale invariance in systems showing irregular fluctuations. In the first 10 years after Per Bak and his co-workers presented their seminal idea, more than 2000 papers on this topic appeared. Seismology has been a field in earth sciences where the SOC concept has already deepened the understanding, but there seem to be much more examples in earth sciences where applying the SOC concept may be fruitful. After introducing the reader into the basics of fractals, chaos and SOC, the book presents established and new applications of SOC in earth sciences, namely earthquakes, forest fires, landslides and drainage networks.
Self Organized Criticality In Astrophysics
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Author : Markus Aschwanden
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-01-11
Self Organized Criticality In Astrophysics written by Markus Aschwanden and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-01-11 with Science categories.
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.
Complexity And Criticality
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Author : Kim Christensen
language : en
Publisher: Imperial College Press
Release Date : 2005
Complexity And Criticality written by Kim Christensen and has been published by Imperial College Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Science categories.
This book provides a challenging and stimulating introduction to the contemporary topics of complexity and criticality, and explores their common basis of scale invariance, a central unifying theme of the book.Criticality refers to the behaviour of extended systems at a phase transition where scale invariance prevails. The many constituent microscopic parts bring about macroscopic phenomena that cannot be understood by considering a single part alone. The phenomenology of phase transitions is introduced by considering percolation, a simple model with a purely geometrical phase transition, thus enabling the reader to become intuitively familiar with concepts such as scale invariance and renormalisation. The Ising model is then introduced, which captures a thermodynamic phase transition from a disordered to an ordered system as the temperature is lowered in zero external field. By emphasising analogies between percolation and the Ising model, the reader's intuition of phase transitions is developed so that the underlying theoretical formalism may be appreciated fully. These equilibrium systems undergo a phase transition only if an external agent finely tunes certain external parameters to particular values.Besides fractals and phase transitions, there are many examples in Nature of the emergence of such complex behaviour in slowly driven non-equilibrium systems: earthquakes in seismic systems, avalanches in granular media and rainfall in the atmosphere. A class of non-equilibrium systems, not constrained by having to tune external parameters to obtain critical behaviour, is addressed in the framework of simple models, revealing that the repeated application of simple rules may spontaneously give rise to emergent complex behaviour not encoded in the rules themselves. The common basis of complexity and criticality is identified and applied to a range of non-equilibrium systems. Finally, the reader is invited to speculate whether self-organisation in non-equilibrium systems might be a unifying concept for disparate fields such as statistical mechanics, geophysics and atmospheric physics.Visit http: //www.complexityandcriticality.com for animations for the models in the book (available for Windows and Linux), solutions to exercises, as well as a list with corrections.
Critical Phenomena In Natural Sciences
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Author : Didier Sornette
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Critical Phenomena In Natural Sciences written by Didier Sornette and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Science categories.
Concepts, methods and techniques of statistical physics in the study of correlated, as well as uncorrelated, phenomena are being applied ever increasingly in the natural sciences, biology and economics in an attempt to understand and model the large variability and risks of phenomena. This is the first textbook written by a well-known expert that provides a modern up-to-date introduction for workers outside statistical physics. The emphasis of the book is on a clear understanding of concepts and methods, while it also provides the tools that can be of immediate use in applications. Although this book evolved out of a course for graduate students, it will be of great interest to researchers and engineers, as well as to post-docs in geophysics and meteorology.
Self Organized Criticality Three Decades Later
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Author : Subhrangshu Sekhar Manna
language : en
Publisher: Frontiers Media SA
Release Date : 2022-01-28
Self Organized Criticality Three Decades Later written by Subhrangshu Sekhar Manna and has been published by Frontiers Media SA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-01-28 with Science categories.
Nonequilibrium Thermodynamics
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Author : Yasar Demirel
language : en
Publisher: Newnes
Release Date : 2013-12-16
Nonequilibrium Thermodynamics written by Yasar Demirel and has been published by Newnes this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-16 with Technology & Engineering categories.
Natural phenomena consist of simultaneously occurring transport processes and chemical reactions. These processes may interact with each other and may lead to self-organized structures, fluctuations, instabilities, and evolutionary systems. Nonequilibrium Thermodynamics, Third Edition emphasizes the unifying role of thermodynamics in analyzing the natural phenomena. This third edition updates and expands on the first and second editions by focusing on the general balance equations for coupled processes of physical, chemical, and biological systems. The new edition contains a new chapter on stochastic approaches to include the statistical thermodynamics, mesoscopic nonequilibrium thermodynamics, fluctuation theory, information theory, and modeling the coupled biochemical systems in thermodynamic analysis. This new addition also comes with more examples and practice problems. - Informs and updates on all the latest developments in the field - Contributions from leading authorities and industry experts - A useful text for seniors and graduate students from diverse engineering and science programs to analyze some nonequilibrium, coupled, evolutionary, stochastic, and dissipative processes - Highlights fundamentals of equilibrium thermodynamics, transport processes and chemical reactions - Expands the theory of nonequilibrium thermodynamics and its use in coupled transport processes and chemical reactions in physical, chemical, and biological systems - Presents a unified analysis for transport and rate processes in various time and space scales - Discusses stochastic approaches in thermodynamic analysis including fluctuation and information theories - Has 198 fully solved examples and 287 practice problems - An Instructor Resource containing the Solution Manual can be obtained from the author: [email protected]
Self Organization In Complex Ecosystems Mpb 42
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Author : Ricard V. Solé
language : en
Publisher: Princeton University Press
Release Date : 2006-03-26
Self Organization In Complex Ecosystems Mpb 42 written by Ricard V. Solé and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-03-26 with Nature categories.
Describing a theoretical view of ecosystems based on how they self-organise to produce complex patterns, this book focuses on very simple models that despite their simplicity encapsulate fundamental properties of how ecosystems work.
Dynamics Of Self Organized And Self Assembled Structures
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Author : Rashmi C. Desai
language : en
Publisher: Cambridge University Press
Release Date : 2009-03-26
Dynamics Of Self Organized And Self Assembled Structures written by Rashmi C. Desai and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-03-26 with Mathematics categories.
Describes pattern formation processes and how they can be modeled for graduate-level courses.
Self Organized Complexity In The Physical Biological And Social Sciences
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Author : Donald Lawson Turcotte
language : en
Publisher: National Academies Press
Release Date : 2002
Self Organized Complexity In The Physical Biological And Social Sciences written by Donald Lawson Turcotte and has been published by National Academies Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Science categories.