Complexity And Criticality


Complexity And Criticality
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Complexity And Criticality


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.



Complexity Criticality And Computation C


Complexity Criticality And Computation C
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Author : Mikhail Prokopenko
language : en
Publisher: MDPI
Release Date : 2018-04-06

Complexity Criticality And Computation C written by Mikhail Prokopenko and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-04-06 with categories.


This book is a printed edition of the Special Issue "Complexity, Criticality and Computation (C³)" that was published in Entropy



Critical Complexity


Critical Complexity
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Author : Rika Preiser
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2016-01-15

Critical Complexity written by Rika Preiser and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-01-15 with Philosophy categories.


Contemporary theories on complex adaptive systems stem from a natural science perspective. Paul Cilliers was one of the first complexity thinkers to translate the theoretical concepts into a qualitative and normative understanding of complexity. This collected volume of essays consolidates his later work. The introduction by Preiser and Woermann reflects on the significance of his contribution within the broader field of complex systems thinking.



Complexity Criticality And Computation C 3


Complexity Criticality And Computation C 3
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Author : Mikhail Prokopenko
language : en
Publisher:
Release Date : 2017

Complexity Criticality And Computation C 3 written by Mikhail Prokopenko and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with Electronic book categories.




Complexity


Complexity
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Author : Bill McKelvey
language : en
Publisher:
Release Date : 2012

Complexity written by Bill McKelvey and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Complexity categories.


The science of complexity is concerned with the study of complex, adaptive systems. Its insights have in recent decades been applied with gusto by social scientists and other thinkers. As research in and around the application of complexity science flourishes as never before, this new five-volume collection from Routledge meets the need for an authoritative reference work to make sense of a rapidly growing and ever more complex corpus of literature. Edited by leading scholars, the collection gathers foundational and canonical work, together with innovative and cutting-edge applications and interventions. With a full index, together with new introductions to each volume, which place the collected material in its historical and intellectual context, Complexity is an essential work of reference. The collection will be particularly useful as an essential database allowing scattered and often fugitive material to be easily located. It will also be welcomed as a crucial tool permitting rapid access to less familiar and sometimes overlooked texts. For researchers, students, practitioners, and policy-makers, it is as a vital one-stop research and pedagogic resource.



The Biggest Ideas In The Universe 1


The Biggest Ideas In The Universe 1
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Author : Sean Carroll
language : en
Publisher: Simon and Schuster
Release Date : 2022-09-15

The Biggest Ideas In The Universe 1 written by Sean Carroll and has been published by Simon and Schuster this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-09-15 with Science categories.


THE NEW YORK TIMES BESTSELLER ‘Sean Carroll has achieved something I thought impossible: a bridge between popular science and the mathematical universe of working physicists. Magnificent!’ Brian Clegg, author of Ten Days in Physics that Shook the World Immense, strange and infinite, the world of modern physics often feels impenetrable to the undiscerning eye – a jumble of muons, gluons and quarks, impossible to explain without several degrees and a research position at CERN. But it doesn’t have to be this way! Allow world-renowned theoretical physicist and bestselling author Sean Carroll to guide you through the biggest ideas in the universe. Elegant and simple, Carroll unravels this web of theories and formulae equation by equation, getting to the heart of the truths they represent. — In Space, Time and Motion, the first book of this landmark trilogy, Carroll delves into the core of classical physics. From Euclid to Einstein, Space, Time and Motion explores the ideas which revolutionised science and forever changed our understanding of our place in the cosmos.



How Nature Works


How Nature Works
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Author : Per Bak
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11

How Nature Works written by Per Bak 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 2013-11-11 with Mathematics categories.


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



Self Organized Criticality


Self Organized Criticality
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Author : Henrik Jeldtoft Jensen
language : en
Publisher: Cambridge University Press
Release Date : 1998

Self Organized Criticality written by Henrik Jeldtoft Jensen 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 1998 with Philosophy categories.


A clear and concise introduction to this new, cross-disciplinary field.



Power Grid Complexity


Power Grid Complexity
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Author : Shengwei Mei
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-09-15

Power Grid Complexity written by Shengwei Mei 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 2011-09-15 with Technology & Engineering categories.


“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.



Quality Assurance


Quality Assurance
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Author : G Welty
language : en
Publisher: Elsevier
Release Date : 2013-06-30

Quality Assurance written by G Welty and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-30 with Medical categories.


Quality assurance is necessary to maintain quality and services in the pharmaceutical and life science industries. Quality assurance demonstrates that the logic and practice of problem solving can integrate both program efficacy and regulatory compliance. This title is divided into three parts; the first part discusses the process by which a problem in regulated industry is identified, for example a manufacturing deviation that leads to an adulterated drug product, and reviews the decision-making steps involved in remedying the problem. The second part delves into the staff training requirements of procedures that are thereby revised. The third part expands on this discussion by considering piloting the proposed training module, preparing assessments of trainee proficiency, evaluating the training module, including integrating rigorous evaluative designs with formative program improvement, and documenting the entire effort. Presents a comprehensive view of the field of quality assurance An approach grounded in direct experience Uses diagrams and figures to clarify analytical points