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arXiv 0802.3931astro-ph
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耀斑活动区的能量学和观测到的耀斑统计

The Energetics of a Flaring Solar Active Region, and Observed Flare Statistics

M. S. Wheatland

摘要:

本文提出了一个计算耀斑活动区能量的随机模型,推广和扩展了Wheatland & Glukhov(1998)的方法。活动区自由能的概率分布由主方程的解来描述,主方程涉及确定性能量输入和能量向下的随机跳跃跃迁(太阳耀斑)。它示出了两个可观察的分布,耀斑频率能量分布和耀斑等待时间分布,可以从主方程的稳态解导出,对于给定的选择的能量输入和耀斑过渡的速率。提出了一种有效的定常主方程数值求解方法。解决方案适合于耀斑,涉及一个恒定的能量输入率和幂律分布的跳跃过渡率,数值研究。耀斑样的解决方案表现出幂律耀斑频率能量分布低于高能量翻转,设置的最大能量的活动区域可能有。的解决方案也表现出近似指数(即泊松)的等待时间分布,尽管燃烧的速度取决于系统的自由能。

英文摘要:

A stochastic model for the energy of a flaring solar active region is presented, generalising and extending the approach of Wheatland & Glukhov (1998). The probability distribution for the free energy of an active region is described by the solution to a master equation involving deterministic energy input and random jump transitions downwards in energy (solar flares). It is shown how two observable distributions, the flare frequency-energy distribution and the flare waiting-time distribution, may be derived from the steady-state solution to the master equation, for given choices for the energy input and for the rates of flare transitions. An efficient method of numerical solution of the steady-state master equation is presented. Solutions appropriate for flaring, involving a constant rate of energy input and power-law distributed jump transition rates, are numerically investigated. The flare-like solutions exhibit power-law flare frequency-energy distributions below a high energy rollover, set by the largest energy the active region is likely to have. The solutions also exhibit approximately exponential (i.e. Poisson) waiting-time distributions, despite the rate of flaring depending on the free energy of the system.

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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