Complexity and Criticality

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Author :
Publisher : Imperial College Press
ISBN 13 : 186094504X
Total Pages : 412 pages
Book Rating : 4.8/5 (69 download)

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Book Synopsis Complexity and Criticality by : Kim Christensen

Download or read book Complexity and Criticality written by Kim Christensen and published by Imperial College Press. This book was released on 2005 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Self-Organized Criticality

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Author :
Publisher : Cambridge University Press
ISBN 13 : 9780521483711
Total Pages : 172 pages
Book Rating : 4.4/5 (837 download)

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Book Synopsis Self-Organized Criticality by : Henrik Jeldtoft Jensen

Download or read book Self-Organized Criticality written by Henrik Jeldtoft Jensen and published by Cambridge University Press. This book was released on 1998 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: A clear and concise introduction to this new, cross-disciplinary field.

The Biggest Ideas in the Universe

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Publisher : Penguin
ISBN 13 : 0593186583
Total Pages : 305 pages
Book Rating : 4.5/5 (931 download)

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Book Synopsis The Biggest Ideas in the Universe by : Sean Carroll

Download or read book The Biggest Ideas in the Universe written by Sean Carroll and published by Penguin. This book was released on 2022-09-20 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: INSTANT NEW YORK TIMES BESTSELLER “Most appealing... technical accuracy and lightness of tone... Impeccable.”—Wall Street Journal “A porthole into another world.”—Scientific American “Brings science dissemination to a new level.”—Science The most trusted explainer of the most mind-boggling concepts pulls back the veil of mystery that has too long cloaked the most valuable building blocks of modern science. Sean Carroll, with his genius for making complex notions entertaining, presents in his uniquely lucid voice the fundamental ideas informing the modern physics of reality. Physics offers deep insights into the workings of the universe but those insights come in the form of equations that often look like gobbledygook. Sean Carroll shows that they are really like meaningful poems that can help us fly over sierras to discover a miraculous multidimensional landscape alive with radiant giants, warped space-time, and bewilderingly powerful forces. High school calculus is itself a centuries-old marvel as worthy of our gaze as the Mona Lisa. And it may come as a surprise the extent to which all our most cutting-edge ideas about black holes are built on the math calculus enables. No one else could so smoothly guide readers toward grasping the very equation Einstein used to describe his theory of general relativity. In the tradition of the legendary Richard Feynman lectures presented sixty years ago, this book is an inspiring, dazzling introduction to a way of seeing that will resonate across cultural and generational boundaries for many years to come.

How Nature Works

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Publisher : Springer Science & Business Media
ISBN 13 : 1475754264
Total Pages : 229 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis How Nature Works by : Per Bak

Download or read book How Nature Works written by Per Bak and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: Self-organized criticality, the spontaneous development of systems to a critical state, is the first general theory of complex systems with a firm mathematical basis. This theory describes how many seemingly desperate aspects of the world, from stock market crashes to mass extinctions, avalanches to solar flares, all share a set of simple, easily described properties. "...a'must read'...Bak writes with such ease and lucidity, and his ideas are so intriguing...essential reading for those interested in complex systems...it will reward a sufficiently skeptical reader." -NATURE "...presents the theory (self-organized criticality) in a form easily absorbed by the non-mathematically inclined reader." -BOSTON BOOK REVIEW "I picture Bak as a kind of scientific musketeer; flamboyant, touchy, full of swagger and ready to join every fray... His book is written with panache. The style is brisk, the content stimulating. I recommend it as a bracing experience." -NEW SCIENTIST

Complexity

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Publisher : University of Chicago Press
ISBN 13 : 9780226476551
Total Pages : 276 pages
Book Rating : 4.4/5 (765 download)

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Book Synopsis Complexity by : Roger Lewin

Download or read book Complexity written by Roger Lewin and published by University of Chicago Press. This book was released on 1999 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Put together one of the world's best science writers with one of the universe's most fascinating subjects and you are bound to produce a wonderful book. . . . The subject of complexity is vital and controversial. This book is important and beautifully done."—Stephen Jay Gould "[Complexity] is that curious mix of complication and organization that we find throughout the natural and human worlds: the workings of a cell, the structure of the brain, the behavior of the stock market, the shifts of political power. . . . It is time science . . . thinks about meaning as well as counting information. . . . This is the core of the complexity manifesto. Read it, think about it . . . but don't ignore it."—Ian Stewart, Nature This second edition has been brought up to date with an essay entitled "On the Edge in the Business World" and an interview with John Holland, author of Emergence: From Chaos to Order.

Self-Organised Criticality

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Author :
Publisher : Cambridge University Press
ISBN 13 : 0521853354
Total Pages : 517 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis Self-Organised Criticality by : Gunnar Pruessner

Download or read book Self-Organised Criticality written by Gunnar Pruessner and published by Cambridge University Press. This book was released on 2012-08-30 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt: An overview of results and methods, written for graduates and researchers in physics, mathematics, biology, sociology, finance, medicine and engineering.

Criticality in Neural Systems

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Publisher : John Wiley & Sons
ISBN 13 : 3527651020
Total Pages : 592 pages
Book Rating : 4.5/5 (276 download)

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Book Synopsis Criticality in Neural Systems by : Dietmar Plenz

Download or read book Criticality in Neural Systems written by Dietmar Plenz and published by John Wiley & Sons. This book was released on 2014-04-14 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: Leading authorities in the field review current experimental and theoretical knowledge on criticality and brain function. The book begins by summarizing experimental evidence for criticality and self-organized criticality in the brain. Subsequently, important breakthroughs in modeling of critical neuronal circuits and how to establish self-organized criticality in the brain are described. A milestone publication, defining upcoming directions of research in this new fi eld and set to become the primary source of information on the brain and criticality.

The Cortex and the Critical Point

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Publisher : MIT Press
ISBN 13 : 0262544032
Total Pages : 217 pages
Book Rating : 4.2/5 (625 download)

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Book Synopsis The Cortex and the Critical Point by : John M. Beggs

Download or read book The Cortex and the Critical Point written by John M. Beggs and published by MIT Press. This book was released on 2022-08-30 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: How the cerebral cortex operates near a critical phase transition point for optimum performance. Individual neurons have limited computational powers, but when they work together, it is almost like magic. Firing synchronously and then breaking off to improvise by themselves, they can be paradoxically both independent and interdependent. This happens near the critical point: when neurons are poised between a phase where activity is damped and a phase where it is amplified, where information processing is optimized, and complex emergent activity patterns arise. The claim that neurons in the cortex work best when they operate near the critical point is known as the criticality hypothesis. In this book John Beggs—one of the pioneers of this hypothesis—offers an introduction to the critical point and its relevance to the brain. Drawing on recent experimental evidence, Beggs first explains the main ideas underlying the criticality hypotheses and emergent phenomena. He then discusses the critical point and its two main consequences—first, scale-free properties that confer optimum information processing; and second, universality, or the idea that complex emergent phenomena, like that seen near the critical point, can be explained by relatively simple models that are applicable across species and scale. Finally, Beggs considers future directions for the field, including research on homeostatic regulation, quasicriticality, and the expansion of the cortex and intelligence. An appendix provides technical material; many chapters include exercises that use freely available code and data sets.

Power Grid Complexity

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Publisher : Springer Science & Business Media
ISBN 13 : 3642162118
Total Pages : 455 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Power Grid Complexity by : Shengwei Mei

Download or read book Power Grid Complexity written by Shengwei Mei and published by Springer Science & Business Media. This book was released on 2011-09-15 with total page 455 pages. Available in PDF, EPUB and Kindle. Book excerpt: “Power Grid Complexity” introduces the complex system theory known as self-organized criticality (SOC) theory and complex network theory, and their applications to power systems. It studies the network characteristics of power systems, such as their small-world properties, structural vulnerability, decomposition and coordination strategies, and simplification and equivalence methods. The book also establishes four blackout models based on SOC theory through which the SOC of power systems is studied at both the macroscopic and microscopic levels. Additionally, applications of complex system theory in power system planning and emergency management platforms are also discussed in depth. This book can serve as a useful reference for engineers and researchers working with power systems. Shengwei Mei is a Professor at the Department of Electrical Engineering at Tsinghua University, China. Xuemin Zhang is a Lecturer at the Department of Electrical Engineering at Tsinghua University, China. Ming Cao is an Assistant Professor at the Faculty of Mathematics and Natural Sciences at the University of Groningen, the Netherlands.

Think Complexity

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Author :
Publisher : "O'Reilly Media, Inc."
ISBN 13 : 1449314635
Total Pages : 159 pages
Book Rating : 4.4/5 (493 download)

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Book Synopsis Think Complexity by : Allen Downey

Download or read book Think Complexity written by Allen Downey and published by "O'Reilly Media, Inc.". This book was released on 2012-03-02 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dive into Python's advanced possibilities, including algorithm analysis, graphs, scale-free networks, and cellular automata with this in-depth, hands-on guide.

Self-Organized Criticality in Astrophysics

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Publisher : Springer Science & Business Media
ISBN 13 : 3642150012
Total Pages : 416 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Self-Organized Criticality in Astrophysics by : Markus Aschwanden

Download or read book Self-Organized Criticality in Astrophysics written by Markus Aschwanden and published by Springer Science & Business Media. This book was released on 2011-01-11 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Postmodernism

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Author :
Publisher : Routledge
ISBN 13 : 1134743297
Total Pages : 170 pages
Book Rating : 4.1/5 (347 download)

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Book Synopsis Complexity and Postmodernism by : Paul Cilliers

Download or read book Complexity and Postmodernism written by Paul Cilliers and published by Routledge. This book was released on 2002-09-11 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Complexity and Postmodernism, Paul Cilliers explores the idea of complexity in the light of contemporary perspectives from philosophy and science. Cilliers offers us a unique approach to understanding complexity and computational theory by integrating postmodern theory (like that of Derrida and Lyotard) into his discussion. Complexity and Postmodernism is an exciting and an original book that should be read by anyone interested in gaining a fresh understanding of complexity, postmodernism and connectionism.

When Things Grow Many

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Publisher : Oxford University Press
ISBN 13 : 019260645X
Total Pages : 288 pages
Book Rating : 4.1/5 (926 download)

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Book Synopsis When Things Grow Many by : Lawrence Schulman

Download or read book When Things Grow Many written by Lawrence Schulman and published by Oxford University Press. This book was released on 2021-12-06 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aimed at advanced undergraduates and graduate students, When Things Grow Many is an accessible and engaging textbook introducing the theory of statistical mechanics, as well as its fascinating real-world applications. The book's original approach, which covers interdisciplinary applications of statistical mechanics to a wide range of subjects, including chemistry, biology, linguistics, economics, sociology and more, is bound to appeal to a wide audience. While the first part of the book introduces the various methods of statistical physics, including complexity, emergence, universality, self-organized criticality, power laws and other timely topics, the final sections focus on specific relevance of these methods to the social, biological and physical sciences. The mathematical content is woven throughout the book in the form of equations, as well as further background and explanations being provided in footnotes and appendices.

Complexity, Criticality and Computation (C³)

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Author :
Publisher : MDPI
ISBN 13 : 3038425141
Total Pages : 269 pages
Book Rating : 4.0/5 (384 download)

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Book Synopsis Complexity, Criticality and Computation (C³) by : Mikhail Prokopenko

Download or read book Complexity, Criticality and Computation (C³) written by Mikhail Prokopenko and published by MDPI. This book was released on 2018-04-06 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a printed edition of the Special Issue "Complexity, Criticality and Computation (C³)" that was published in Entropy

Fracture and Complexity

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Publisher : Springer Nature
ISBN 13 : 9402420266
Total Pages : 968 pages
Book Rating : 4.4/5 (24 download)

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Book Synopsis Fracture and Complexity by : Alberto Carpinteri

Download or read book Fracture and Complexity written by Alberto Carpinteri and published by Springer Nature. This book was released on 2021-06-26 with total page 968 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book explores the two opposite natural trends of composite systems: (i) order and structure emerging from heterogeneity and randomness, and (ii) instability and chaos arising from simple nonlinear rules. Providing insights into the rapidly growing field of complexity sciences, the book focuses on the role of complexity in fracture mechanics. It firstly discusses the occurrence of self-similarity and fractal patterns in deformation, damage, fracture, and fragmentation of heterogeneous materials and the apparent scaling of the nominal mechanical properties of disordered materials, as well as of the time-to-failure after fatigue and creep loading. Then the book addresses criticality in the acoustic emissions from damaged structures and tectonic faults. Further, it examines the snap-back instability in the structural behavior of relatively large composite structures in the framework of catastrophe theory, and lastly describes the transition toward chaos in the dynamics of cracked elements.

Critical Phenomena in Natural Sciences

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Publisher : Springer Science & Business Media
ISBN 13 : 366204174X
Total Pages : 445 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Critical Phenomena in Natural Sciences by : Didier Sornette

Download or read book Critical Phenomena in Natural Sciences written by Didier Sornette and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 445 pages. Available in PDF, EPUB and Kindle. Book excerpt: A modern up-to-date introduction for readers outside statistical physics. It puts emphasis on a clear understanding of concepts and methods and provides the tools that can be of immediate use in applications.

Complexity

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Publisher : Open Road Media
ISBN 13 : 150405914X
Total Pages : 492 pages
Book Rating : 4.5/5 (4 download)

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Book Synopsis Complexity by : M. Mitchell Waldrop

Download or read book Complexity written by M. Mitchell Waldrop and published by Open Road Media. This book was released on 2019-10-01 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: “If you liked Chaos, you’ll love Complexity. Waldrop creates the most exciting intellectual adventure story of the year” (The Washington Post). In a rarified world of scientific research, a revolution has been brewing. Its activists are not anarchists, but rather Nobel Laureates in physics and economics and pony-tailed graduates, mathematicians, and computer scientists from all over the world. They have formed an iconoclastic think-tank and their radical idea is to create a new science: complexity. They want to know how a primordial soup of simple molecules managed to turn itself into the first living cell—and what the origin of life some four billion years ago can tell us about the process of technological innovation today. This book is their story—the story of how they have tried to forge what they like to call the science of the twenty-first century. “Lucidly shows physicists, biologists, computer scientists and economists swapping metaphors and reveling in the sense that epochal discoveries are just around the corner . . . [Waldrop] has a special talent for relaying the exhilaration of moments of intellectual insight.” —The New York Times Book Review “Where I enjoyed the book was when it dove into the actual question of complexity, talking about complex systems in economics, biology, genetics, computer modeling, and so on. Snippets of rare beauty here and there almost took your breath away.” —Medium “[Waldrop] provides a good grounding of what may indeed be the first flowering of a new science.” —Publishers Weekly