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arXiv 1111.3574astro-ph.CO
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吸积驱动的黑洞演化:爱丁顿比、占空比和活动星系分数

Accretion-Driven Evolution of Black Holes: Eddington Ratios, Duty Cycles, and Active Galaxy Fractions

Francesco Shankar, David H. Weinberg, Jordi Miralda-Escude'

摘要:

我们建立了超大质量黑洞和活动星系核(AGN)粒子数的半经验模型,该模型考虑了观测到的活动星系核光度函数所隐含的黑洞增长,并假设辐射效率为ε,爱丁顿比为λ.通过推广这些连续性方程模型以允许分布P(λ| mbh,z),我们能够利用观测估计的P(λ)分布和活动星系分数的约束,同时考虑观测样本的光度阈值。我们考虑对数λ为高斯分布的模型,以及用幂律尾部扩充到低λ的高斯模型。在我们的框架内,再现低红移时观测到的活动星系核的高分数需要一个特征性的爱丁顿比λ c,它在后期下降,而匹配观测到的爱丁顿比分布则需要P(λ)在低红移时变宽。为了再现活动星系核的光度随黑洞或星系质量的增加而增加的现象,我们还要求λ c随黑洞质量的增加而减小,从而减小与质量最大的黑洞相关的活动星系核的光度。最后,实现一个良好的匹配的本地黑洞质量函数的高质量端需要在高黑洞质量的辐射效率增加。我们讨论了潜在的影响,黑洞合并或λ依赖的热校正,我们计算的演化预测黑洞和星系特定的吸积率。尽管我们的框架很灵活,但没有一个模型能很好地适应我们考虑的所有数据。

英文摘要:

We develop semi-empirical models of the supermassive black hole and active galactic nucleus (AGN) populations, which incorporate the black hole growth implied by the observed AGN luminosity function assuming a radiative efficiency ε, and a distribution of Eddington ratios λ. By generalizing these continuity-equation models to allow a distribution P(λ|mbh,z) we are able to draw on constraints from observationally estimated P(λ) distributions and active galaxy fractions while accounting for the luminosity thresholds of observational samples. We consider models with a Gaussian distribution of log λ, and Gaussians augmented with a power-law tail to low λ. Within our framework, reproducing the high observed AGN fractions at low redshift requires a characteristic Eddington ratio λ_c that declines at late times, and matching observed Eddington ratio distributions requires P(λ) that broadens at low redshift. To reproduce the observed increase of AGN fraction with black hole or galaxy mass, we also require a λ_c that decreases with increasing black hole mass, reducing the AGN luminosity associated with the most massive black holes. Finally, achieving a good match to the high mass end of the local black hole mass function requires an increased radiative efficiency at high black hole mass. We discuss the potential impact of black hole mergers or a λ-dependent bolometric correction, and we compute evolutionary predictions for black hole and galaxy specific accretion rates. Despite the flexibility of our framework, no one model provides a good fit to all the data we consider.

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