Self-organized criticality and predictability in atmospheric flows : the quantum world of clouds and rain

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...

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Bibliographic Details
Main Author Selvam, A. M. (Author)
Format Electronic eBook
LanguageEnglish
Published Cham, Switzerland : Springer, 2017.
SeriesSpringer atmospheric sciences.
Subjects
Atmospheric physics.
Self-organizing systems.
elektronické knihy
electronic books
Online AccessFull text
ISBN9783319545462
9783319545455
ISSN2194-5217
Physical Description1 online resource (xix, 139 pages) : illustrations

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Table of Contents:
  • Preface; References; About the Book; Contents; About the Author; 1 Nonlinear Dynamics and Chaos: Applications in Meteorology and Atmospheric Physics; Abstract; 1.1 Introduction; 1.2 New Science of Nonlinear Dynamics and Chaos; 1.2.1 Dynamical Systems and Fractal Space-Time Fluctuations; 1.2.2 Fractals in Pure Mathematics; 1.2.3 Fractal Fluctuations and Statistical Analysis; 1.2.4 Golden Mean and Self-similar, Fractal Geometrical Structures in Nature; 1.2.5 Fibonacci Sequence and Self-similar Structures; 1.2.6 Fivefold and Spiral Symmetry Associated with Fibonacci Sequence.
  • 1.2.7 Quasicrystalline Structure: The Quasiperiodic Penrose Tiling Pattern1.2.8 Fractal Time Signals, and Power Laws; 1.2.9 Self-organized Criticality: Space-Time Fractals; 1.2.10 Turbulent (Chaotic) Fluctuations and Self-similar Structure Formation; 1.2.11 Self-similarity: A Signature of Identical Iterative Growth Process; 1.3 Fractals and Self-organized Criticality in Meteorology and Atmospheric Physics; 1.3.1 Observed Structure of Atmospheric Flows and Signatures of Deterministic Chaos; 1.3.2 Limitations of Conventional Atmospheric Boundary Layer (ABL) Models.
  • 1.3.3 Traditional Numerical Weather Prediction, Deterministic Chaos and Predictability1.3.4 Current Techniques in Numerical Weather Prediction (NWP): Major Drawbacks; 1.4 Applications of Nonlinear Dynamics and Chaos for Weather Prediction: Current Status; 1.4.1 Space-Time Cascade Model for Fractal Fluctuations in Atmospheric Flows; 1.4.2 General Systems Theory for Fractal Space-Time Fluctuations in Atmospheric Flows; 1.5 Conclusions; References; 2 Noise or Random Fluctuations in Physical Systems: A Review; Abstract; 2.1 Introduction; 2.2 Statistical Methods for Data Analysis.
  • 2.3 Statistical Normal Distribution2.4 Power Laws-History; 2.5 Power-Law Distributions and Complex Systems; 2.6 Power Laws, Scale Invariance and Self-similarity; 2.7 Power Laws, Self-similarity, and Fractals; 2.8 Power Laws, 1/f Noise, and Long-Term Memory; 2.9 Power Laws, Phase Transitions, and Critical Phenomena; 2.10 Power Laws and Self-organized Criticality; 2.11 Current Status of Power-Law Distributions; 2.12 Power-Law Relations (Bivariate) and Power-Law (Probability) Distributions; 2.13 Allometric Scaling and Fractals; 2.14 Fractals and the Golden Section in Plant Growth.
  • 2.15 Turbulent Fluid Flow Structure, Fractals, and the Golden Ratio2.16 Fractal Space-Time and the Golden Section; 2.17 Power-Law (Probability) Distributions in Meteorological Parameters; 2.17.1 Power-Law (Probability) Distributions in Precipitation; 2.17.2 Power-Law (Probability) Distributions in Temperature; 2.17.3 Power-Law (Probability) Distributions in Quaternary Ice Volume Fluctuations; 2.17.4 Power-Law (Probability) Distributions in Atmospheric Pollution; 2.18 General Systems Theory Model for Self-organized Criticality in Atmospheric Flows; References.

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