Multifractal analysis of high resolution solar wind proton density measurements. Sorriso-Valvo, L., Carbone, F., Leonardis, E., Chen, C. H. K., Safrankova, J., & Nemecek, Z. ADVANCES IN SPACE RESEARCH, 59(6):1642-1651, MAR 15, 2017.
doi  abstract   bibtex   
The solar wind is a highly turbulent medium, with a high level of field fluctuations throughout a broad range of scales. These include an inertial range where a turbulent cascade is assumed to be active. The solar wind cascade shows intermittency, which however may depend on the wind conditions. Recent observations have shown that ion-scale magnetic turbulence is almost self-similar, rather than intermittent. A similar result was observed for the high resolution measurements of proton density provided by the spacecraft Spektr-R. Intermittency may be interpreted as the result of the multifractal properties of the turbulent cascade. In this perspective, this paper is devoted to the description of the multifractal properties of the high resolution density measurements. In particular, we have used the standard coarse-graining technique to evaluate the generalized dimensions D-i, and from these the multifractal spectrum f(alpha), in two ranges of scale. A fit with the p-model for intermittency provided a quantitative measure of multifractality. Such indicator was then compared with alternative measures: the width of the multifractal spectrum, the peak of the kurtosis, and its scaling exponent. The results indicate that the small-scale fluctuations are multifractal, and suggest that different measures of intermittency are required to fully understand the small scale cascade. (C) 2017 COS PAR. Published by Elsevier Ltd. All rights reserved.
@article{ ISI:000395610000019,
Author = {Sorriso-Valvo, Luca and Carbone, Francesco and Leonardis, Ersilia and
   Chen, Christopher H. K. and Safrankova, Jana and Nemecek, Zdenek},
Title = {{Multifractal analysis of high resolution solar wind proton density
   measurements}},
Journal = {{ADVANCES IN SPACE RESEARCH}},
Year = {{2017}},
Volume = {{59}},
Number = {{6}},
Pages = {{1642-1651}},
Month = {{MAR 15}},
Abstract = {{The solar wind is a highly turbulent medium, with a high level of field
   fluctuations throughout a broad range of scales. These include an
   inertial range where a turbulent cascade is assumed to be active. The
   solar wind cascade shows intermittency, which however may depend on the
   wind conditions. Recent observations have shown that ion-scale magnetic
   turbulence is almost self-similar, rather than intermittent. A similar
   result was observed for the high resolution measurements of proton
   density provided by the spacecraft Spektr-R. Intermittency may be
   interpreted as the result of the multifractal properties of the
   turbulent cascade. In this perspective, this paper is devoted to the
   description of the multifractal properties of the high resolution
   density measurements. In particular, we have used the standard
   coarse-graining technique to evaluate the generalized dimensions D-i,
   and from these the multifractal spectrum f(alpha), in two ranges of
   scale. A fit with the p-model for intermittency provided a quantitative
   measure of multifractality. Such indicator was then compared with
   alternative measures: the width of the multifractal spectrum, the peak
   of the kurtosis, and its scaling exponent. The results indicate that the
   small-scale fluctuations are multifractal, and suggest that different
   measures of intermittency are required to fully understand the small
   scale cascade. (C) 2017 COS PAR. Published by Elsevier Ltd. All rights
   reserved.}},
DOI = {{10.1016/j.asr.2016.12.024}},
ISSN = {{0273-1177}},
EISSN = {{1879-1948}},
ResearcherID-Numbers = {{Safrankova, Jana/O-5136-2017
   Nemecek, Zdenek/O-5144-2017
   Sorriso-Valvo, Luca/A-9355-2008}},
ORCID-Numbers = {{Safrankova, Jana/0000-0003-4178-5206
   Nemecek, Zdenek/0000-0002-8160-3051
   Sorriso-Valvo, Luca/0000-0002-5981-7758}},
Unique-ID = {{ISI:000395610000019}},
}

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