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arXiv 0804.2241astro-ph
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非均匀加热太阳和恒星日冕环的标度律和温度廓线

Scaling Laws and Temperature Profiles for Solar and Stellar Coronal Loops with Non-uniform Heating

P. C. H. Martens

摘要:

太阳日冕辐射损失的大部分由活动区核心准静态环的软X射线发射组成。为了开发诊断确定这些环的加热机制,从观测日冕成像仪器,我已经开发了一个广泛的加热功能,包括足点加热,均匀加热,加热集中在环顶点的温度结构和缩放定律的环路链的分析解决方案。关键的结果是,温度分布只依赖于弱的加热分布-不足以显着的诊断价值-和标度法生存的这种广泛的加热分布,但与RTV标度法($P_{0}L \thicksim T_{max}^3$)的比例常数取决于特定的加热功能。此外,准静态的分析解决方案不存在一个过度集中的加热附近的循环足点,结果与最近的数值模拟。它表明,具有可变直径的股线的情况下的解决方案的泛化导致只有相对较小的校正因子的标度律和恒定直径的环股线的温度分布。五个领先的理论日冕加热机制被捕获的形式主义的本文,它们之间的热结构的差异可以通过观测来验证。完全数值模拟的初步结果表明,尽管简化的假设,本文的解析解是稳定和准确的。

英文摘要:

The bulk of solar coronal radiative loss consists of soft X-ray emission from quasi-static loops at the cores of Active Regions. In order to develop diagnostics for determining the heating mechanism of these loops from observations by coronal imaging instruments, I have developed analytical solutions for the temperature structure and scaling laws of loop strands for a wide range of heating functions, including footpoint heating, uniform heating, and heating concentrated at the loop apex. Key results are that the temperature profile depends only weakly on the heating distribution -- not sufficiently to be of significant diagnostic value -- and that the scaling laws survive for this wide range of heating distributions, but with the constant of proportionality in the RTV scaling law ($P_{0}L \thicksim T_{max}^3$) depending on the specific heating function. Furthermore, quasi-static analytical solutions do not exist for an excessive concentration of heating near the loop footpoints, a result in agreement with recent numerical simulations. It is demonstrated that a generalization of the solutions to the case of a strand with a variable diameter leads to only relatively small correction factors in the scaling laws and temperature profiles for constant diameter loop strands. A quintet of leading theoretical coronal heating mechanisms is shown to be captured by the formalism of this paper, and the differences in thermal structure between them may be verified through observations. Preliminary results from full numerical simulations demonstrate that, despite the simplifying assumptions, the analytical solutions from this paper are stable and accurate.

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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