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

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dc.contributor.author Merritt, David en_US
dc.contributor.author Preto, Miguel en_US
dc.contributor.author Spurzem, Rainer en_US
dc.date.accessioned 2006-03-30T21:08:31Z en_US
dc.date.available 2006-03-30T21:08:31Z en_US
dc.date.issued 2004-09-20 en_US
dc.identifier.citation Astrophys.J. 613 (2004) L109 en_US
dc.identifier.issn 1538-4357 en_US
dc.identifier.uri http://hdl.handle.net/1850/1500 en_US
dc.description Also archived in: arXiv:astro-ph/0406324 v2 9 Jul 2004 en_US
dc.description.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). en_US
dc.description.sponsorship We are indebted to Sverre Aarseth and Seppo Mikkola who were tireless in their advice and support during the coding of the chain regularization algorithm. We gratefully acknowledge useful discussions with Marc Freitag and Simon Portegies Zwart. This work was supported via grants NSF AST 02-0631, NASA NAG5-9046 and HST-AR-09519.01-A to DM, and by the German Science Foundation (DFG) via grant SFB439 at the University of Heidelberg to RS and MP. MP also acknowledges financial support from the Fundação para a Ciência e Tecnologia (FCT), Portugal, through grant SFRH/BD/3444/2000. en_US
dc.format.extent 134853 bytes en_US
dc.format.mimetype application/pdf en_US
dc.language.iso en_US en_US
dc.publisher Astrophysical Journal - Letters en_US
dc.relation.ispartofseries vol. 613 en_US
dc.relation.ispartofseries no. 2 en_US
dc.relation.ispartofseries part 2 en_US
dc.subject Black holes en_US
dc.subject Galaxies-nuclei en_US
dc.subject Stellar dynamics en_US
dc.title N-body growth of a bahcall-wolf cusp around a black hole en_US
dc.type Article en_US

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