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arXiv 1012.1586astro-ph.SR
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太阳活动区磁场的阵发谱

Intermittency Spectra of the Magnetic Field in Solar Active Regions

Valentyna Abramenko, Vasyl Yurchyshyn

摘要:

本文介绍了太阳活动区磁结构的不对称性和多重分形性的研究结果。利用1997年1月至2006年12月在太阳盘中心观测到的214个不同耀斑生产率的AR的视线磁图。使用了以高分辨率模式运行的{ \it太阳和日光层观测台}(SOHO)上的迈克尔逊多普勒成像仪、大熊太阳观测台数字磁像仪和{ \it Hinode} SOT/SP仪器提供的数据。通过高阶结构函数和平坦度函数推导出阵发谱。平坦度函数指数是对平坦度的度量。我们发现,在约10微米以下的尺度的平坦度函数指数与耀斑生产力相关(相关系数为-0.63)。{ \it Hinode}数据表明,与MDI数据相比,不透明度范围向小尺度(2 μ m以下)扩展。多重分形的光谱,来自结构函数和平坦度函数,被发现是更广泛的AR的最高耀斑生产力相比,低耀斑生产力。高耀斑AR的磁结构由大量的单分形集合组成,并且这个集合比低耀斑AR的丰富得多。结果表明,光球磁场的多重分形结构与耀斑活动有关。在复杂和高耀斑的AR中观察到的强不稳定性暗示我们观察到增强的次光球动力学的光球印记。

英文摘要:

We present results of a study of intermittency and multifractality of magnetic structures in solar active regions (ARs). Line-of-sight magnetograms for 214 ARs of different flare productivity observed at the center of the solar disk from January 1997 until December 2006 are utilized. Data from the Michelson Doppler Imager (MDI) instrument on-board the {\it Solar and Heliospheric Observatory} (SOHO) operating in the high resolution mode, the Big Bear Solar Observatory digital magnetograph and {\it Hinode} SOT/SP instrument were used. Intermittency spectra were derived via high-order structure functions and flatness functions. The flatness function exponent is a measure of the degree of intermittency. We found that the flatness function exponent at scales below approximately 10 Mm is correlated to the flare productivity (the correlation coefficient is - 0.63). {\it Hinode} data show that the intermittency regime is extended toward the small scales (below 2 Mm) as compared to the MDI data. The spectra of multifractality, derived from the structure functions and flatness functions, are found to be more broad for ARs of highest flare productivity as compared to that of low flare productivity. The magnetic structure of high-flaring ARs consists of a voluminous set of monofractals, and this set is much richer than that for low-flaring ARs. The results indicate relevance of the multifractal organization of the photospheric magnetic fields to the flaring activity. Strong intermittency observed in complex and high-flaring ARs is a hint that we observe a photospheric imprint of enhanced sub-photospheric dynamics.

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