Self-organized Criticality and Predictability in Atmospheric Flows T
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, mani
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Amujuri Mary Selvam
Self-organized Criticality and Predictability in Atmospheric Flows The Quantum World of Clouds and Rain
Springer Atmospheric Sciences
More information about this series at http://www.springer.com/series/10176
Amujuri Mary Selvam
Self-organized Criticality and Predictability in Atmospheric Flows The Quantum World of Clouds and Rain
123
Amujuri Mary Selvam Ministry of Earth Sciences, Government of India Retired from IITM Pune India
ISSN 2194-5217 Springer Atmospheric Sciences ISBN 978-3-319-54545-5 DOI 10.1007/978-3-319-54546-2
ISSN 2194-5225
(electronic)
ISBN 978-3-319-54546-2
(eBook)
Library of Congress Control Number: 2017938286 This book was advertised with a copyright holder in the name of the Author(s) in error, whereas the publisher holds the copyright. © Springer International Publishing AG 2017 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. Printed on acid-free paper This Springer imprint is published by Springer Nature The registered company is Springer International Publishing AG The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
To my husband Murty and Grandchildren Rohan and Tara
Preface
Nonlinear dynamical systems in nature, such as atmospheric flows, exhibit complex spatial patterns, e.g. cloud geometry, that lack a characteristic (single) length scale concomitant with temporal fluctuations that lack a single timescale. The mathematical concept of ‘fractals’ introduced by Mandelbrot (1977) provides powerful tools for describing and quantifying the universal symmetry of self-similarity (Schroeder 1991) underlying the seemingly irregular complex geometrical shapes and temporal fluctuations. Spatially extended fractal objects in nature support fluctuations of dynamical processes on all timescales. The power spectra of such broadband fluctuations exhibit an inverse power law of form l/f
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