论文标题
部分可观测时空混沌系统的无模型预测
First Millimeter Flares Detected from Epsilon Eridani with ALMA
论文作者
论文摘要
储层计算是预测湍流的有力工具,其简单的架构具有处理大型系统的计算效率。然而,其实现通常需要完整的状态向量测量和系统非线性知识。我们使用非线性投影函数将系统测量扩展到高维空间,然后将其输入到储层中以获得预测。我们展示了这种储层计算网络在时空混沌系统上的应用,该系统模拟了湍流的若干特征。我们表明,使用径向基函数作为非线性投影器,即使只有部分观测并且不知道控制方程,也能稳健地捕捉复杂的系统非线性。最后,我们表明,当测量稀疏、不完整且带有噪声,甚至控制方程变得不准确时,我们的网络仍然可以产生相当准确的预测,从而为实际湍流系统的无模型预测铺平了道路。
We report the detection of three large millimeter flaring events from the nearby Sun-like, $ε$ Eridani, found in archival ALMA 12m and ACA observations at 1.33 mm taken from 2015 January 17-18 and 2016 October 24-November 23, respectively. This is the first time that flares have been detected from a Sun-like star at millimeter wavelengths. The largest flare among our data was detected in the ALMA observations on 2015 January 17 from 20:09:10.4-21:02:49.3 (UTC) with a peak flux density of 28 $\pm$ 7 mJy and a duration of 9 sec. The peak brightness of the largest flare is $ 3.4 \pm 0.9 \times 10^{14}$ erg s$^{-1}$Hz$^{-1}$, a factor of $>50\times$ times brighter than the star's quiescent luminosity and $>10\times$ brighter than solar flares observed at comparable wavelengths. We find changes in the spectral index (F$_ν\proptoν^α$) at the flare peak, with $α$ = 1.81 $\pm$ 1.94 and a lower limit on the fractional linear polarization $|Q/I| = $ 0.08 $\pm$ 0.12. This positive spectral index is more similar to millimeter solar flares, differing from M dwarf flares also detected at millimeter wavelengths that exhibit steeply negative spectral indices.