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arXiv 1908.00322astro-ph.HE
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有限ISCO应力作用下相对论薄圆盘的演化:I.停滞增积

Evolution of relativistic thin discs with a finite ISCO stress: I. Stalled accretion

Andrew Mummery, Steven A. Balbus

摘要:

我们提出的解决方案,相对论薄盘演化方程使用$α$模型的湍流应力张量。在最内层的稳定圆轨道(ISCO)的有限应力的解决方案产生的辐射热光变曲线与浅的幂律时间依赖性,在良好的协议与潮汐中断事件中观察到的。例如,基于电子散射不透明度的自相似模型产生$-11/14$的幂律指数,与零ISCO应力情况下的$-19/16$相反。这些解决方案对应于一个长期的放松的发展光盘,就像他们产生的光变曲线,是不能无限期地持续下去。累积偏离精确的圆形轨道的近似导致幂律指数随时间缓慢演变,最终导致与传统零ISCO应力模型相关的更陡峭的下降。这些修改后的解决方案中详细讨论了配套文件。

英文摘要:

We present solutions to the relativistic thin disc evolutionary equation using an $α$-model for the turbulent stress tensor. Solutions with a finite stress at the innermost stable circular orbit (ISCO) give rise to bolometric light curves with a shallow power law time dependence, in good agreement with those observed in tidal disruption events. A self-similar model based on electron scattering opacity, for example, yields a power law index of $-11/14$, as opposed to $-19/16$ for the case of zero ISCO stress. These solutions correspond to an extended period of relaxation of the evolving disc which, like the light curves they produce, is not sustainable indefinitely. Cumulative departures from the approximation of exact circular orbits cause the power law index to evolve slowly with time, leading eventually to the steeper fall-off associated with traditional zero ISCO stress models. These modified solutions are discussed in detail in a companion paper.

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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