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arXiv 2203.12484astro-ph.SRcond-mat.stat-mechnlin.CD
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太阳耀斑和纳米级耀斑尺度分布的幂律斜率

Reconciling Power Law Slopes in Solar Flare and Nanoflare Size Distributions

Markus J. Aschwanden

摘要:

我们统一了太阳耀斑和纳米耀斑能量的大小分布的幂律。我们提出了三个模型,预测幂律斜率$α_E$的耀斑能量定义的2-D和3-D分形维数($D_A, D_V$):(i)时空标准SOC模型,定义的幂律斜率$α_{E1}=1+2/(D_V+2)=(13/9)\approx 1.44$ ;(ii)2-D热能模型,$α_{E2}=1+2/D_A=(7/3)\approx 2.33$,和(iii)3-D热能模型,$α_{E3}=1+2/D_V=(9/5)\approx 1.80$。能量的理论预测与这三组的观测值一致,即,$α_{E1}=1.47 \pm 0.07$、$α_{E2}=2.38 \pm 0.09$和$α_{E3}=1.80 \pm 0.18$。这些结果证实了纳米片的能量在小能量下不发散,因为除了非物理2-D模型$(α_{E2}>2)$之外,$(α_{E1}<2$)和$(α_{E3}<2)$。这一结论增加了一个额外的论点,反对由纳米耀斑日冕加热的情况。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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