Long-term stability of collisionless equilibrium configurations; algorithms

dc.creatorGauthier, Jean-Rene
dc.creatorMartel, Hugo
dc.date2005-01-28
dc.date.accessioned2026-07-07T02:16:53Z
dc.date.available2026-07-07T02:16:53Z
dc.descriptionWe present the summary of the theoretical aspects and algorithms used in an undergraduate (JRG) summer project based on numerical N-body simulations of collisionless systems. First, we review the importance of numerical N-body simulations in astrophysics. We introduce the different codes used and their performances. We then introduce four famous density profiles : Hernquist, NFW, truncated isothermal sphere, and Plummer. The history of these profiles and their dynamical properties are discussed in the third section. In the fourth section, we present the Barnes & Hut tree code, its features and performances. We then explain how to build and incorporate a multiple time stepping scheme in a tree code. The fifth section is dedicated to the different physical measurements we used to characterize the dynamics of the N-body system. Finally, we describe the future work that will be done with these codes, mainly the study of the adiabatic growth of a black hole at the center of a spherical distribution of stars.
dc.description18 pages, 6 figures (3 in color). Technical report
dc.identifierhttps://arxiv.org/abs/astro-ph/0501642
dc.identifierhttp://arxiv.org/abs/astro-ph/0501642
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/8964
dc.subjectAstrophysics
dc.titleLong-term stability of collisionless equilibrium configurations; algorithms
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