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Nonlinear Processes in Geophysics An interactive open-access journal of the European Geosciences Union
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Volume 17, issue 5
Nonlin. Processes Geophys., 17, 545–551, 2010
https://doi.org/10.5194/npg-17-545-2010
© Author(s) 2010. This work is distributed under
the Creative Commons Attribution 3.0 License.

Special issue: Nonlinear plasma waves in space and laboratories

Nonlin. Processes Geophys., 17, 545–551, 2010
https://doi.org/10.5194/npg-17-545-2010
© Author(s) 2010. This work is distributed under
the Creative Commons Attribution 3.0 License.

Review article 08 Oct 2010

Review article | 08 Oct 2010

ROMA (Rank-Ordered Multifractal Analyses) of intermittency in space plasmas – a brief tutorial review

T. Chang1, C. C. Wu2, J. Podesta3, M. Echim4,5, H. Lamy4, and S. W. Y. Tam6 T. Chang et al.
  • 1Kavli Institute for Astrophysics and Space research, Massachusetts Institute of Technology, Cambridge, MA 02139, USA
  • 2Institute of Geophysics and Planetary Physics, University of California at Los Angeles, Los Angeles, CA 90095, USA
  • 3Space Sciences and Applications, Los Alamos National Laboratory, Los Alamos, NM 87545, USA
  • 4Belgian Institute for Space Aeronomy, 1180 Brussels, Belgium
  • 5Institute for Space Sciences, 077125 Bucharest, Romania
  • 6Plasma and Space Science Center, and Institute of Space, Astrophysical and Plasma Sciences, National Cheng Kung University, Tainan 70101, Taiwan

Abstract. Intermittent fluctuations are the consequence of the dynamic interactions of multiple coherent or pseudo-coherent structures of varied sizes in the stochastic media (Chang, 1999). We briefly review here a recently developed technique, the Rank-Ordered Multifractal Analysis (ROMA), which is both physically explicable and quantitatively accurate in deciphering the multifractal characteristics of such intermittent structures (Chang and Wu, 2008).

The utility of the method is demonstrated using results obtained from large-scale 2-D MHD simulations as well as in-situ observations of magnetic field fluctuations from the interplanetary and magnetospheric cusp regions, and the broadband electric field oscillations from the auroral zone.

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