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Unified Multifractal Atmospheric Dynamics Tested in the Tropics: Part I, Horizontal Scaling and Self Criticality : Volume 1, Issue 2/3 (30/11/-0001)

By Chigirinskaya, Y.

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Book Id: WPLBN0004019496
Format Type: PDF Article :
File Size: Pages 10
Reproduction Date: 2015

Title: Unified Multifractal Atmospheric Dynamics Tested in the Tropics: Part I, Horizontal Scaling and Self Criticality : Volume 1, Issue 2/3 (30/11/-0001)  
Author: Chigirinskaya, Y.
Volume: Vol. 1, Issue 2/3
Language: English
Subject: Science, Nonlinear, Processes
Collections: Periodicals: Journal and Magazine Collection (Contemporary), Copernicus GmbH
Historic
Publication Date:
-0001
Publisher: Copernicus Gmbh, Göttingen, Germany
Member Page: Copernicus Publications

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Lovejoy, S., Lazarev, A., Ordanovich, A., Schertzer, D., & Chigirinskaya, Y. (-0001). Unified Multifractal Atmospheric Dynamics Tested in the Tropics: Part I, Horizontal Scaling and Self Criticality : Volume 1, Issue 2/3 (30/11/-0001). Retrieved from http://www.netlibrary.net/


Description
Description: Laboratoire de Météorologie Dynamique, Université Pierre et Marie Curie, 4 Place Jussieu, 75252 Paris Cedex 05, France. In this paper we test the Unified Mulifractal model of atmospheric dynamics in the tropics. In the first part, we empirically investigate the scaling behaviour along the horizontal, in the second part along the vertical. Here we concentrate on the presentation of basic multifractal notions and techniques and on how they give rise to self-organized critical structures. Indeed, we point out a rather simple and clear characterisation of these structures which may help to clarify both the nature of the oft-cited coherent structures and the generation of cyclones. Using 30 aircraft series of horizontal wind and temperature, we find rather remarkable constancy of the three universal multifractal indices H, C1 and α as well as the value of critical exponents qD, γD associated with multifractal phase transitions and self-organized critical structures. This constancy extends not only from wind tunnel and mid-latitude to the tropics, but also to multifractals generated by Navier-Stokes like equations.

Summary
Unified multifractal atmospheric dynamics tested in the tropics: part I, horizontal scaling and self criticality

 

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