Statistical Studies of Solar White-Light Flares and Comparisons with Superflares on Solar-type Stars

TL;DR

This study compares solar white-light flares with stellar superflares, finding similar energy-duration relations but shorter durations in superflares, suggesting stronger magnetic fields or cooling effects influence their characteristics.

Contribution

It provides a detailed statistical analysis of solar WLFs, revealing their relation to stellar superflares and proposing explanations for observed differences based on magnetic field strength and cooling timescales.

Findings

Solar WLFs follow a similar E–τ relation as superflares.

Superflares have shorter durations than predicted by solar flare scaling.

Stronger magnetic fields may account for superflare properties.

Abstract

Recently, many superflares on solar-type stars have been discovered as white-light flares (WLFs). The statistical study found a correlation between their energies ($E$) and durations ($\tau$): $\tau \propto E^{0.39}$ (Maehara et al. 2017 $EP\& S$, 67, 59), similar to those of solar hard/soft X-ray flares: $\tau \propto E^{0.2-0.33}$. This indicates a universal mechanism of energy release on solar and stellar flares, i.e., magnetic reconnection. We here carried out a statistical research on 50 solar WLFs observed with \textit{SDO}/HMI and examined the correlation between the energies and durations. As a result, the $E$--$\tau$ relation on solar WLFs ($\tau \propto E^{0.38}$) is quite similar to that on stellar superflares ($\tau \propto E^{0.39}$). However, the durations of stellar superflares are one order of magnitude shorter than those expected from solar WLFs. We present the following two interpretations for the discrepancy. (1) In solar flares, the cooling timescale of WLFs may be longer than the reconnection one, and the decay time of solar WLFs can be elongated by the cooling effect. (2) The distribution can be understood by applying a scaling law ($\tau \propto E^{1/3}B^{-5/3}$) derived from the magnetic reconnection theory. In this case, the observed superflares are expected to have 2-4 times stronger magnetic field strength than solar flares.