How Nature Works

How Nature Works PDF Book Detail:
Author: Per Bak
Publisher: Springer Science & Business Media
ISBN: 1475754264
Size: 26.39 MB
Format: PDF, ePub
Category : Mathematics
Languages : en
Pages : 212
View: 7744

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Book Description: 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 In Earth Systems

Self Organized Criticality in Earth Systems PDF Book Detail:
Author: Stefan Hergarten
Publisher: Springer Science & Business Media
ISBN: 3662043904
Size: 25.88 MB
Format: PDF, Kindle
Category : Technology & Engineering
Languages : en
Pages : 272
View: 266

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Book Description: 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

Self Organized Criticality PDF Book Detail:
Author:
Publisher:
ISBN:
Size: 53.28 MB
Format: PDF, Mobi
Category :
Languages : en
Pages : 9
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Book Description: Self organized criticality refers to the tendency of highly dissipative systems to drive themselves to a critical state. This has been proposed to explain why observed physics often displays a wide disparity of length and time scales. The phenomenon can be studied in simple cellular automaton models.

Self Organized Criticality

Self Organized Criticality PDF Book Detail:
Author: Henrik Jeldtoft Jensen
Publisher: Cambridge University Press
ISBN: 1107393485
Size: 21.52 MB
Format: PDF
Category : Science
Languages : en
Pages :
View: 6498

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Book Description: 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.

Selforganised Criticality And Predictability In Atmospheric Flows

Selforganised Criticality and Predictability in Atmospheric Flows PDF Book Detail:
Author: Amujuri Mary Selvam
Publisher: Springer
ISBN: 3319545469
Size: 67.48 MB
Format: PDF, Docs
Category : Science
Languages : en
Pages :
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Book Description: This book presents a new concept of General Systems Theory and its application to atmospheric physics. It reveals that energy input into the atmospheric eddy continuum, whether natural or manmade, results in enhancement of fluctuations of all scales, manifested immediately in the intensification of high-frequency fluctuations such as the Quasi-Biennial Oscillation and the El-Nino–Southern Oscillation cycles. Atmospheric flows exhibit self-organised criticality, i.e. long-range correlations in space and time manifested as fractal geometry to the spatial pattern concomitant with an inverse power law form for fluctuations of meteorological parameters such as temperature, pressure etc. Traditional meteorological theory cannot satisfactorily explain the observed self-similar space time structure of atmospheric flows. A recently developed general systems theory for fractal space-time fluctuations shows that the larger-scale fluctuation can be visualised to emerge from the space-time averaging of enclosed small-scale fluctuations, thereby generating a hierarchy of self-similar fluctuations manifested as the observed eddy continuum in power spectral analyses of fractal fluctuations. The interconnected network of eddy circulations responds as a unified whole to local perturbations such as global-scale response to El-Nino events. The general systems theory model predicts an inverse power law form incorporating the golden mean τ for the distribution of space-time fluctuation patterns and for the power (variance) spectra of the fluctuations. Since the probability distributions of amplitude and variance are the same, atmospheric flows exhibit quantumlike chaos. Long-range correlations inherent to power law distributions of fluctuations are identified as nonlocal connection or entanglement exhibited by quantum systems such as electrons or photons. The predicted distribution is close to the Gaussian distribution for small-scale fluctuations, but exhibits a fat long tail for large-scale fluctuations. Universal inverse power law for fractal fluctuations rules out unambiguously linear secular trends in climate parameters.

Self Organized Criticality

Self organized Criticality PDF Book Detail:
Author: Jánosi Imre M.
Publisher:
ISBN:
Size: 11.99 MB
Format: PDF
Category :
Languages : en
Pages :
View: 5374

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Book Description: