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Double Rank-ordering Technique of Roma (Rank-ordered Multifractal Analysis) for Multifractal Fluctuations Featuring Multiple Regimes of Scales : Volume 18, Issue 3 (24/06/2011)

By Tam, S. W. Y.

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Book Id: WPLBN0003983684
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File Size: Pages 10
Reproduction Date: 2015

Title: Double Rank-ordering Technique of Roma (Rank-ordered Multifractal Analysis) for Multifractal Fluctuations Featuring Multiple Regimes of Scales : Volume 18, Issue 3 (24/06/2011)  
Author: Tam, S. W. Y.
Volume: Vol. 18, Issue 3
Language: English
Subject: Science, Nonlinear, Processes
Collections: Periodicals: Journal and Magazine Collection (Contemporary), Copernicus GmbH
Historic
Publication Date:
2011
Publisher: Copernicus Gmbh, Göttingen, Germany
Member Page: Copernicus Publications

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Chang, T., & Y. Ta, S. W. (2011). Double Rank-ordering Technique of Roma (Rank-ordered Multifractal Analysis) for Multifractal Fluctuations Featuring Multiple Regimes of Scales : Volume 18, Issue 3 (24/06/2011). Retrieved from http://worldebookfair.org/


Description
Description: Institute of Space, Astrophysical and Plasma Sciences, National Cheng Kung University, Tainan, Taiwan. Rank-Ordered Multifractal Analysis (ROMA), a technique capable of deciphering the multifractal characteristics of intermittent fluctuations, was originally applied to the results of a magnetohydrodynamic (MHD) simulation. Application of ROMA to measured fluctuations in the auroral zone, due to the dominant physical effects changing from kinetic to MHD as the scale increases, requires an additional level of rank-ordering in order to divide the domain of scales into regimes. An algorithm for the additional step in this double rank-ordering technique is discussed, and is demonstrated in the application to the electric field fluctuations in the auroral zone as an example. As a result of the double rank-ordering, ROMA is able to take into account the nonlinear crossover behavior characterized by the multiple regimes of time scales by providing a scaling variable and a scaling function that are global to all the time scales.

Summary
Double rank-ordering technique of ROMA (Rank-Ordered Multifractal Analysis) for multifractal fluctuations featuring multiple regimes of scales

Excerpt
Burlaga, L.: Intermittent turbulence in the solar wind, J. Geophys. Res., 96, 5847–5851, 1991.; Bruno, R., Carbone, V., Veltri, P., Pietropaolo, E., and Bavassano, B.: Identifying intermittent events in the solar wind, Planet. Space Sci., 49, 1201–1210, 2001.; Chang, T., Tam, S. W. Y., and Wu, C. C.: Complexity induced anisotropic bimodal intermittent turbulence in space plasmas, Phys. Plasmas, 11, 1287–1299, 2004.; Chang, T.: Colloid-like behavior and topological phase transitions in space plasmas: Intermittent low frequency turbulence in the auroral zone, Physica Scripta, T89, 80–83, 2001.; Chang, T. and Wu, C.-C.: Rank-ordered multifractal spectrum for intermittent fluctuations, Phys. Rev. E, 77, 045401, doi:10.1103/PhysRevE.77.045401, 2008.; Chang, T., Hankey, A., and Stanley, H. E.: Generalized scaling hypothesis in multicomponent systems, 1. Classification of critical points by order and scaling at tricritical points, Phys. Rev. B, 8, 346–364, 1973.; Chang, T., Wu, C. C., and Podesta, J.: Multifractal characteristics of dynamical complexity in space plasmas, in: Particle Acceleration and Transport in The Heliosphere and Beyond, edited by: Li, G., Hu, Q., Verkhoglyadova, O., Zank, G., Lin, R. P., and Luhmann, J., AIP Conf. Proc., 1039, 75–80, 2008.; Chang, T., Wu, C. C., Podesta, J., Echim, M., Lamy, H., and Tam, S. W. Y.: ROMA (Rank-Ordered Multifractal Analyses) of intermittency in space plasmas – a brief tutorial review, Nonlin. Processes Geophys., 17, 545–551, doi:10.5194/npg-17-545-2010, 2010.; Echim, M. M., Lamy, H., and Chang, T.: Multi-point observations of intermittency in the cusp regions, Nonlin. Processes Geophys., 14, 525–534, doi:10.5194/npg-14-525-2007, 2007.; Hnat, B., Chapman, S. C., Rowlands, G., Watkins, N. W., and Farrell, W. M.: Finite size scaling in the solar wind magnetic field energy density as seen by WIND, Geophys. Res. Lett., 29, 1446, doi:10.1029/2001GL014587, 2002.; Seyler, C. E.: A mathematical model of the structure and evolution of small-scale discrete auroral arcs, J. Geophys. Res., 95, 17199–17215, 1990.; Tam, S. W. Y., Chang, T., Kintner, P. M., and Klatt, E.: Intermittent analyses on the SIERRA measurements of the electric field fluctuations in the auroral zone, Geophys. Res. Lett., 32, L05109, doi:10.1029/2004GL021445, 2005.; Tam, S. W. Y., Chang, T., Kintner, P. M., and Klatt, E. M.: Rank-ordered multifractal analysis for intermittent fluctuations with global crossover behavior, Phys. Rev. E, 81, 036414, doi:10.1103/PhysRevE.81.036414, 2010.; Weygand, J. M., Kivelson, M. G., Khurana, K. K., Schwarzl, H. K., Thompson, S. M., McPherron, R. L., Balogh, A., Kistler, L. M., Goldstein, M. L., Borovsky, J., and Roberts, D. A.: Plasma sheet turbulence observed by Cluster II, J. Geophys. Res., 110, A01205, doi:10.1029/2004JA010581, 2005.; Wu, C. C. and Chang, T.: Rank-Ordered Multifractal Analysis (ROMA) of probability distributions in fluid turbulence, Nonlin. Processes Geophys., 18, 261–268, doi:10.5194/npg-18-261-2011, 2011.

 

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