N-body growth of a bahcall-wolf cusp around a black hole

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Title: N-body growth of a bahcall-wolf cusp around a black hole
Author: Merritt, David; Preto, Miguel; Spurzem, Rainer
Abstract: We present a clear N-body realization of the growth of a Bahcall-Wolf f µE^1/4 (µr^−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 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 = 0.25×10^6. 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 (Refer to PDF file for exact formulas).
Description: Also archived in: arXiv:astro-ph/0406324 v2 9 Jul 2004
Record URI: http://hdl.handle.net/1850/1500
Date: 2004-09-20

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