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Springer Atmospheric Sciences

Self-organized Criticality and Predictability in Atmospheric Flows

The Quantum World of Clouds and Rain

Authors: Selvam, Amujuri Mary

  • Presents a new concept of General Systems Theory and its application to atmospheric physics
  • Includes a universal quantification for the signature of self-organized criticality, namely an inverse power law form for fractal fluctuations in terms of the golden ratio
  • Offers a universal inverse power law form for fractal fluctuations that rules out linear secular trends in climate parameters
  • Shows that energy input into the atmospheric eddy continuum, whether natural or man-made, results in the enhancement of fluctuations of all scales, manifested in the intensification of high-frequency fluctuations such as the quasi-biennial oscillation and the El-Nino–Southern Oscillation Cycle
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eBook $74.99
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  • ISBN 978-3-319-54546-2
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  • Immediate eBook download after purchase
Hardcover $109.00
price for USA
  • ISBN 978-3-319-54545-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

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.

Table of contents (5 chapters)

  • Nonlinear Dynamics and Chaos: Applications in Meteorology and Atmospheric Physics

    Selvam, Amujuri Mary

    Pages 1-40

  • Noise or Random Fluctuations in Physical Systems: A Review

    Selvam, Amujuri Mary

    Pages 41-74

  • Self-organized Criticality: A Signature of Quantum-like Chaos in Atmospheric Flows

    Selvam, Amujuri Mary

    Pages 75-106

  • Universal Inverse Power-Law Distribution for Temperature and Rainfall in the UK Region

    Selvam, Amujuri Mary

    Pages 107-119

  • Signatures of Universal Characteristics of Fractal Fluctuations in Global Mean Monthly Temperature Anomalies

    Selvam, Amujuri Mary

    Pages 121-135

Buy this book

eBook $74.99
price for USA (gross)
  • ISBN 978-3-319-54546-2
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.00
price for USA
  • ISBN 978-3-319-54545-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Self-organized Criticality and Predictability in Atmospheric Flows
Book Subtitle
The Quantum World of Clouds and Rain
Authors
Series Title
Springer Atmospheric Sciences
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG
eBook ISBN
978-3-319-54546-2
DOI
10.1007/978-3-319-54546-2
Hardcover ISBN
978-3-319-54545-5
Series ISSN
2194-5217
Edition Number
1
Number of Pages
XIX, 139
Number of Illustrations and Tables
24 b/w illustrations
Topics