Truncated Levy-flight Statistics Recovered from Interplanetary Solar Wind Velocity and Magnetic Field Fluctuations

Details Truncated Levy-flight Statistics Recovered from Interplanetary Solar Wind Velocity and Magnetic Field Fluctuations Truncated Levy-flight Statistics Recovered from Interplanetary Solar Wind Velocity and Magnetic Field Fluctuations

Dec 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002agufmsh12a0396b&link_type=abstract

American Geophysical Union, Fall Meeting 2002, abstract #SH12A-0396

Mathematics

Probability

2134 Interplanetary Magnetic Fields, 2149 Mhd Waves And Turbulence, 2164 Solar Wind Plasma, 7863 Turbulence

Scientific paper

Interplanetary solar wind fluctuations have been studied in the inner heliosphere and within the MHD range of scales. Fluctuations are such that velocity and magnetic field vectors, which initially keep their orientation around a given direction in space during a certain time interval, abruptly change to fluctuate around a new orientation. This behavior is then repeated several times per hour. Most of the timesthe largest directional jumps are also accompanied by larger intensity variations.This kind of phenomenon resembles a Levy-flight behavior and stimulated us to compare these observations with a Levy statistics, particularly sensitive to long range correlations. In particular, we considered the cumulative distribution function of velocity and magnetic field vector differences evaluating the probability to have differences larger than a given threshold that was repeatedly set at different values. This analysis showed that our observations can be reasonably fitted by a Truncated-Levy-Flight (TLF) distribution. Moreover, we found a clear radial dependence of these fluctuations to evolve from Gaussian to TLF only within fast wind. We provide an explanation for what we observe in terms of a competing action between stochastic, propagating fluctuations and convected structures, both contributing to solar wind turbulent fluctuations.

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