Analysis of the Flux Growth Rate in Emerging Active Regions on the Sun

V. I. Abramenko, A. S. Kutsenko, O. I. Tikhonova, Vasyl Yurchyshyn

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4 Scopus citations


We studied the emergence process of 42 active regions (ARs) by analyzing the time derivative, R(t) , of the total unsigned flux. Line-of-sight magnetograms acquired by the Helioseismic and Magnetic Imager (HMI) onboard the Solar Dynamics Observatory (SDO) were used. A continuous piecewise linear fitting to the R(t) -profile was applied to detect an interval, Δ t2, of nearly constant R(t) covering one or several local maxima. The magnitude of R(t) averaged over Δ t2 was accepted as an estimate of the maximum value of the flux growth rate, RMAX, which varies in a range of (0.5–5)×1020Mxhour−1 for ARs with a maximum total unsigned flux of (0.5–3)×1022Mx. The normalized flux growth rate, RN, was defined under the assumption that the saturated total unsigned flux, FMAX, equals unity. Out of 42 ARs in our initial list, 36 events were successfully fitted, and they form two subsets (with a small overlap of eight events): the ARs with a short (< 13 hours) interval Δ t2 and a high (>0.024hour−1) normalized flux emergence rate, RN, form the “rapid” emergence event subset. The second subset consists of “gradual” emergence events, and it is characterized by a long (> 13 hours) interval Δ t2 and a low RN (<0.024hour−1). In diagrams of RMAX plotted versus FMAX, the events from different subsets do not overlap, and each subset displays an individual power law. The power-law index derived from the entire ensemble of 36 events is 0.69 ± 0.10. The rapid emergence is consistent with a two-step emergence process of a single twisted flux tube. The gradual emergence is possibly related to a consecutive rising of several flux tubes emerging at nearly the same location in the photosphere.

Original languageEnglish (US)
Article number48
JournalSolar Physics
Issue number4
StatePublished - Apr 1 2017

All Science Journal Classification (ASJC) codes

  • Astronomy and Astrophysics
  • Space and Planetary Science


  • Active regions, magnetic fields
  • Magnetic fields, photosphere


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