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

Details N-Body Growth of a Bahcall-Wolf Cusp Around a Black Hole N-Body Growth of a Bahcall-Wolf Cusp Around a Black Hole

2004-06-14

arxiv.org/abs/astro-ph/0406324v2

Astrophys.J. 613 (2004) L109

Astronomy and Astrophysics

Astrophysics

4 pages, 3 figures

Scientific paper

10.1086/425139

We present a clear N-body realization of the growth of a Bahcall-Wolf f ~ E^0.25 (rho ~ 1/r^1.75) density cusp around a massive object ("black hole") at the center of a stellar system. Our N-body algorithm incorporates a novel implementation of 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 x 10^6. 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, for various choices of N and of the black hole mass. Our results demonstrate the feasibility of direct-force integration techniques for simulating the evolution of galactic nuclei on relaxation time scales.

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