A Statistical Study of Soft X-Ray Flares on Solar-type Stars
Zhanhao Zhao, Zichen Hua, Xin Cheng, Z. Y. Li, M. D. Ding
Abstract
Abstract The statistical characteristics of stellar flares at optical bands have received extensive study, but they remain to be studied at soft X-ray bands, in particular for solar-type stars. Here, we present a statistical study of soft X-ray flares on solar-type stars, which can help in understanding the multiwavelength behaviors of stellar flares. We mainly use Chandra Source Catalog Release 2.0, which includes a number of flaring stars with denoted variability, and Gaia Data Release 3, which includes the necessary information for classifying stars. We also develop a set of methods for identifying and classifying stellar soft X-ray flares and estimating their properties. A detailed statistical investigation of 129 flare samples on 103 nearby solar-type stars as selected yields the following main results. (1) The flare energy emitted at the soft X-ray band in our sample ranges from ∼10 33 to ∼10 37 erg, and the majority of them are superflares, with the most energetic one having energy of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:msubsup> <mml:mrow> <mml:mn>6.0</mml:mn> </mml:mrow> <mml:mrow> <mml:mo>−</mml:mo> <mml:mn>4.7</mml:mn> </mml:mrow> <mml:mrow> <mml:mo>+</mml:mo> <mml:mn>3.2</mml:mn> </mml:mrow> </mml:msubsup> <mml:mo>×</mml:mo> <mml:msup> <mml:mrow> <mml:mn>10</mml:mn> </mml:mrow> <mml:mrow> <mml:mn>37</mml:mn> </mml:mrow> </mml:msup> <mml:mspace width="0.33em"/> <mml:mi>erg</mml:mi> </mml:math> . (2) The flare duration is related to its energy as formulated by <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:msub> <mml:mrow> <mml:mi>T</mml:mi> </mml:mrow> <mml:mrow> <mml:mi>duration</mml:mi> <mml:mo>,</mml:mo> <mml:mi>SXR</mml:mi> </mml:mrow> </mml:msub> <mml:mo>∝</mml:mo> <mml:msubsup> <mml:mrow> <mml:mi>E</mml:mi> </mml:mrow> <mml:mrow> <mml:mi>flare</mml:mi> <mml:mo>,</mml:mo> <mml:mi>SXR</mml:mi> </mml:mrow> <mml:mrow> <mml:mspace width="0.33em"/> <mml:mn>0.201</mml:mn> <mml:mo>±</mml:mo> <mml:mn>0.024</mml:mn> </mml:mrow> </mml:msubsup> </mml:math> , which is different from those derived at optical and near-IR bands, indicating distinct radiation mechanisms at different bands. (3) The frequency distribution of stellar flares as a function of energy is formulated as <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:msub> <mml:mrow> <mml:mi mathvariant="italic">dN</mml:mi> </mml:mrow> <mml:mrow> <mml:mi>flare</mml:mi> </mml:mrow> </mml:msub> <mml:mrow> <mml:mo stretchy="true">/</mml:mo> </mml:mrow> <mml:msub> <mml:mrow> <mml:mi mathvariant="italic">dE</mml:mi> </mml:mrow> <mml:mrow> <mml:mi>flare</mml:mi> <mml:mo>,</mml:mo> <mml:mi>SXR</mml:mi> </mml:mrow> </mml:msub> <mml:mo>∝</mml:mo> <mml:msubsup> <mml:mrow> <mml:mi>E</mml:mi> </mml:mrow> <mml:mrow> <mml:mi>flare</mml:mi> <mml:mo>,</mml:mo> <mml:mi>SXR</mml:mi> </mml:mrow> <mml:mrow> <mml:mspace width="0.33em"/> <mml:mo>−</mml:mo> <mml:mn>1.77</mml:mn> </mml:mrow> </mml:msubsup> </mml:math> , which is similar to the results found at other bands and on other types of stars, indicating that the energy emitted at the soft X-ray band could be a constant fraction of the full-band bolometric energy.