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Distribution of the magnetic flux in elements of the magnetic field in active regions View all abstracts by submitter

Valentyna Abramenko   Submitted: 2004-10-13 10:06

The unsigned magnetic flux content in flux concentrations in two active regions are calculated by using a set of 248 high resolution SOHO/MDI magnetograms for each active region. Data for flaring active region NOAA 9077 (July 14, 2000) and non-flaring active region NOAA 0061 (Aug 09, 2002) were analyzed. We present an algorithm to automatically select and quantify magnetic flux concentrations above a threshold p. Each active region is analyzed using 4 different values of the threshold, p (p=25, 50, 75 and 100 G). Probability distribution functions (PDFs) and cumulative distribution functions (CDFs) of the magnetic flux were calculated and approximated by the log-normal, exponential and power law functions in the range of flux Phi > 1019 Mx. The Kolmogorov-Smirnov test applied for each of the approximations, showed that the observed distributions are consistent with the log-normal approximation only. Neither exponential, nor power law functions can approximate satisfactory the observed distributions. The parameters of the log-normal distribution do not depend on the threshold value, however they are different for the two active regions. For flaring active region 9077, the expectation value of the magnetic flux content is mu=28.1 imes 1018 Mx and the standard deviation of the log-normal distribution, sigma=79.0 imes 1018 Mx. For non-flaring active region NOAA 0061 these values are: mu=23.8 imes 1018 Mx and sigma=29.6 imes 1018 Mx. The log-normal character of the observed distribution functions suggests that the process of fragmentation dominates over the process of concentration in the formation of the magnetic structure in an active region.

Authors: V.I. Abramenko and D.W. Longcope
Projects: Soho-MDI

Publication Status: Astrophys. J., accepted
Last Modified: 2004-10-13 10:06
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