论文标题
太阳耀斑的全球能量学。 xii。能源扩展定律
Global Energetics of Solar Flares. XII. Energy Scaling Laws
论文作者
论文摘要
在这项研究中，我们测试了5种物理缩放定律的30种变体，这些变体描述了太阳耀斑的不同方面。 We express scaling laws in terms of the magnetic potential field energy $E_p$, the mean potential field strength $B_p$, the free energy $E_{free}$, the dissipated magnetic flare energy $E_{diss}$, the mean loop length scale $L$, the mean helically twisted flux tube radius $R$, the sunspot radius $r$, the emission measure-weighted flare temperature $T_w$, the electron密度$ n_e $，以及总排放度量$ em $，以$ \ lapprox 400 $的数据集进行M-和X级耀斑事件。 5类物理缩放定律包括（i）潜在的场能的缩放定律，（ii）螺旋扭曲的缩放定律，（iii）Petschek-type磁重新连接的缩放定律，（iv）Rosner-tucker-Vaiana缩放法，以及（v）Shibata yokoyama缩放法。我们通过需要两个条件来测试这些理论缩放定律的自洽性：在观察到的和理论上预测的缩放定律之间CCC $> 0.5 $> $ 0.5，以及与$ $α\约1 $的斜率拟合的线性回归。根据这两个标准，我们发现在30个测试的缩放定律变体中有10个与观察到的数据一致，该数据强烈证实了测试的耀斑缩放定律的存在和有效性。
In this study we test 30 variants of 5 physical scaling laws that describe different aspects of solar flares. We express scaling laws in terms of the magnetic potential field energy $E_p$, the mean potential field strength $B_p$, the free energy $E_{free}$, the dissipated magnetic flare energy $E_{diss}$, the mean loop length scale $L$, the mean helically twisted flux tube radius $R$, the sunspot radius $r$, the emission measure-weighted flare temperature $T_w$, the electron density $n_e$, and the total emission measure $EM$, measured from a data set of $\lapprox 400$ GOES M- and X-class flare events. The 5 categories of physical scaling laws include (i) a scaling law of the potential-field energy, (ii) a scaling law for helical twisting, (iii) a scaling law for Petschek-type magnetic reconnection, (iv) the Rosner-Tucker-Vaiana scaling law, and (v) the Shibata-Yokoyama scaling law. We test the self-consistency of these theoretical scaling laws with observed parameters by requiring two conditions: a cross-corrleation coefficient of CCC$>$0.5 between the observed and theoretically predicted scaling laws, and a linear regression fit with a slope of $α\approx 1$. With these two criteria we find that 10 out of the 30 tested scaling law variants are consistent with the observed data, which strongly corroborates the existence and validity of the tested flare scaling laws.
