Intermittence in the solar wind turbulence illustrated by the Castaing probability density distribution functions and their cascade

Mathematics – Probability

Scientific paper

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2134 Interplanetary Magnetic Fields, 2149 Mhd Waves And Turbulence

Scientific paper

We performed detailed statistical analysis of 31,561 consecutive 64-second values of radial solar wind speed reported by the SWEPAM instrument on the ACE spacecraft at L1 upstream of the earth's bow shock, for the period beginning day 157 of the year 2000, and ending on day 180. A few short data gaps were filled by linear interpolation. Eight shocks occur during this period, giving us a good opportunity to see how strong stirring of the plasma cascades to turbulence on smaller scales. Moments and probability density functions (pdfs) were calculated for derived data sets of the speed differences over a range of lags from 64 seconds to several days. The pdfs are very well fitted by Castaing distributions, as Sorriso-Valvo, et al. (GRL 26, p1801, 1999) have noticed for other solar wind data sets. We use the equivalent measures of structure function, dependence of the two Castaing pdf parameters on the lag time, and the time series and auto correlation of the variance of the velocity increments, to discuss the development of the turbulent cascade in this particular data set. We hope to point out the usefulness of the Castaing parameters (B. Castaing, et al., Physica D 46 (1990) pp177-200) to describe solar wind turbulence, even in highly disturbed data, and their superiority over the structure functions for this purpose. We are very grateful to the ACE project and SWEPAM experimenters for the beautiful data of the SWEPAM instriment available on the ACE website. MAF is supported by NASA grant NAG 58106.

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