Superflares on Solar Type Stars Observed with Kepler I. Statistical Properties of Superflares
Takuya Shibayama, Hiroyuki Maehara, Shota Notsu, Yuta Notsu, Takashi, Nagao, Satoshi Honda, Takako T. Ishii, Daisaku Nogami, Kazunari Shibata

TL;DR
This study analyzes the statistical properties of superflares on solar-type stars observed with Kepler, revealing their frequency, energy distribution, and potential link to large starspots, with implications for stellar activity and solar flare understanding.
Contribution
It extends previous research by increasing the dataset to 1547 superflares on 279 G-type dwarfs, confirming power-law distribution and suggesting large starspots as a cause for high flare frequency.
Findings
Superflares follow a power-law energy distribution similar to solar flares.
Frequency of superflares on Sun-like stars is once every 800-5000 years for 10^34-10^35 erg.
Some stars exhibit superflares approximately every 10 days, indicating extremely high activity.
Abstract
By extending our previous study by Maehara et al. (2012), we searched for superflares on G-type dwarfs (solar type stars) using Kepler data for a longer period (500 days) than that (120 days) in our previous study. As a result, we found 1547 superflares on 279 G-type dwarfs, which are much more than previous 365 superflares on 148 stars. Using these new data, we studied the statistical properties of occurrence frequency of superflares, and basically confirmed the previous results, i.e., the occurrence frequency (dN/dE) of superflares vs flare energy (E) shows power-law distribution with dN/dE \propto E^{-\alpha}, where \alpha ~ 2. It is interesting that this distribution is roughly on the same line as that for solar flares. In the case of the Sun-like stars (with surface temperature 5600-6000K and slowly rotating with a period longer than 10 days), the occurrence frequency of…
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