N-Body Growth of a Bahcall-Wolf Cusp around a Black Hole

N-Body Growth of a Bahcall-Wolf Cusp around a Black Hole
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黑洞周围 Bahcall-Wolf 尖点的 N 体生长

DOI:
10.1086/425139
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发表时间:
2004
期刊:
The Astrophysical Journal Letters
影响因子:
--
通讯作者:
R. Spurzem
R. Spurzem
中科院分区:
--
文献类型:
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作者:
M. Preto;D. Merritt;R. Spurzem

文献摘要

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我们给出了一个清晰的N体实现,它描述了在恒星系统中心的一个大质量物体(“黑洞”)周围,一个Bircall-Wolf f∝E_1/4(ρ∝r-7/4)密度尖点的增长。我们的N体算法结合了Mikkola-Aarseth链正则化的新实现,以处理恒星和黑洞粒子之间的密切相互作用。链外的力在GRAPE-6A/8专用计算机上积分,粒子数最高可达N=0.25×106。我们将我们的N体结果与各向同性Fokker-Planck方程的预测进行了比较,验证了N体算法很好地再现了由Fokker-Planck方程预测的密度(组态和相空间)随时间的变化。我们的结果突出了直接N体技术在模拟包含超大质量黑洞的星系核的动力学演化中的作用。
We present a clear N-body realization of the growth of a Bahcall-Wolf f ∝ E1/4 (ρ ∝ r-7/4) density cusp around a massive object ("black hole") at the center of a stellar system. Our N-body algorithm incorporates a novel implementation of the Mikkola-Aarseth chain regularization to handle close interactions between star and black hole particles. Forces outside the chain were integrated on a GRAPE-6A/8 special-purpose computer with particle numbers up to N = 0.25 × 106. We compare our N-body results with predictions of the isotropic Fokker-Planck equation and verify that the time dependence of the density (both configuration and phase-space) predicted by the Fokker-Planck equation is well reproduced by the N-body algorithm. Our results highlight the usefulness of direct N-body techniques for simulating the dynamical evolution of galactic nuclei containing supermassive black holes.