论文标题
在太阳耀斑和纳米叶片尺寸分布中调和电源法斜率
Reconciling Power Law Slopes in Solar Flare and Nanoflare Size Distributions
论文作者
论文摘要
我们统一了太阳耀斑和纳米光能的大小分布的功率定律。我们提出了三个模型，这些模型可以预测功率法$α_e$ $ $ lare Energies的$α_e$定义，该模型根据2-D和3-D分形维度（$ d_A，d_v $）：（ i）时空标准SOC模型，由Power Law Slope Slope Slope Slope $α__{e1} = 1+2/（D_V+2/（D_V+2）=（13/13/9）; （ii）2-D热能模型，$α_{e2} = 1+2/d_a =（7/3）\大约2.33 $，以及（iii）3-D热能模型，$α_{E3} = 1+2/d_v =（9/5）\ oft 1.80 $。能量的理论预测与这三组的观察值一致，即$α_{e1} = 1.47 \ pm 0.07 $; $α_{e2} = 2.38 \ pm 0.09 $，$α_{e3} = 1.80 \ pm 0.18 $。这些结果证实了纳米流量的能量不会在小能量上发散，因为$（α_{e1} <2 $）和$（α__{e3} <2）$，除非非透明的2-D模型$（α__{e2}}> 2）$。该结论为纳米洛莱士的冠状加热情况增加了一个其他论点。
We unify the power laws of size distributions of solar flare and nanoflare energies. We present three models that predict the power law slopes $α_E$ of flare energies defined in terms of the 2-D and 3-D fractal dimensions ($D_A, D_V$): (i) The spatio-temporal standard SOC model, defined by the power law slope $α_{E1}=1+2/(D_V+2)=(13/9)\approx 1.44$; (ii) the 2-D thermal energy model, $α_{E2}=1+2/D_A=(7/3)\approx 2.33$, and (iii) the 3-D thermal energy model, $α_{E3}=1+2/D_V=(9/5)\approx 1.80$. The theoretical predictions of energies are consistent with the observational values of these three groups, i.e., $α_{E1}=1.47 \pm 0.07$; $α_{E2}=2.38 \pm 0.09$, and $α_{E3}=1.80 \pm 0.18$. These results corroborate that the energy of nanoflares does not diverge at small energies, since $(α_{E1}<2$) and $(α_{E3}<2)$, except for the unphyiscal 2-D model $(α_{E2}>2)$. This conclusion adds an additional argument against the scenario of coronal heating by nanoflares.
