Evidence for departure from a power-law flare size distribution for a small solar active region

Abstract

Active region 11029 was a small, highly flare-productive solar active region observed at a time of extremely low solar activity. The region produced only small flares: the largest of the $>70$ Geostationary Observational Environmental Satellite (GOES) events for the region has a peak 1--$8\mathring{A}$ flux of $2.2\times 10^{-6}\mathrm{W}{\mathrm{m}}^{-2}$ (GOES C2.2). The background-subtracted GOES peak-flux distribution suggests departure from power-law behavior above $10^{-6}\mathrm{W}{\mathrm{m}}^{-2}$, and a Bayesian model comparison strongly favors a power-law plus rollover model for the distribution over a simple power-law model. The departure from the power law is attributed to this small active region having a finite amount of energy. The rate of flaring in the region varies with time, becoming very high for two days coinciding with the onset of an increase in complexity of the photospheric magnetic field. The observed waiting-time distribution for events is consistent with a piecewise-constant Poisson model. These results present challenges for models of flare statistics and of energy balance in solar active regions.

29 pages, 5 figures, 1 table

References in corpus (6)

• Driving major solar flares and eruptions: a review
• Intensity Thresholds and the Statistics of the Temporal Occurrence of Solar Flares
• The onset of solar cycle 24: What global acoustic modes are telling us
• The Energetics of a Flaring Solar Active Region, and Observed Flare Statistics
• The Unpredictability of the Most Energetic Solar Events
• Monte-Carlo Simulation of Solar Active-Region Energy

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