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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K.","Safrankova, J.","Nemecek, Z."],"bibdata":{"bibtype":"article","type":"article","author":[{"propositions":[],"lastnames":["Sorriso-Valvo"],"firstnames":["Luca"],"suffixes":[]},{"propositions":[],"lastnames":["Carbone"],"firstnames":["Francesco"],"suffixes":[]},{"propositions":[],"lastnames":["Leonardis"],"firstnames":["Ersilia"],"suffixes":[]},{"propositions":[],"lastnames":["Chen"],"firstnames":["Christopher","H.","K."],"suffixes":[]},{"propositions":[],"lastnames":["Safrankova"],"firstnames":["Jana"],"suffixes":[]},{"propositions":[],"lastnames":["Nemecek"],"firstnames":["Zdenek"],"suffixes":[]}],"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. 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K. and Safrankova, Jana and Nemecek, Zdenek},\nTitle = {{Multifractal analysis of high resolution solar wind proton density\n measurements}},\nJournal = {{ADVANCES IN SPACE RESEARCH}},\nYear = {{2017}},\nVolume = {{59}},\nNumber = {{6}},\nPages = {{1642-1651}},\nMonth = {{MAR 15}},\nAbstract = {{The solar wind is a highly turbulent medium, with a high level of field\n fluctuations throughout a broad range of scales. These include an\n inertial range where a turbulent cascade is assumed to be active. The\n solar wind cascade shows intermittency, which however may depend on the\n wind conditions. Recent observations have shown that ion-scale magnetic\n turbulence is almost self-similar, rather than intermittent. A similar\n result was observed for the high resolution measurements of proton\n density provided by the spacecraft Spektr-R. Intermittency may be\n interpreted as the result of the multifractal properties of the\n turbulent cascade. 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