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An algorithm is described for evolving the phase-space density of stars or compact objects around a massive black hole at the center of a galaxy. The technique is based on numerical integration of the Fokker-Planck equation in…

Astrophysics of Galaxies · Physics 2016-03-01 David Merritt

Direct numerical integrations of the Fokker-Planck equation in energy-angular momentum space are carried out for stars orbiting a supermassive black hole (SBH) at the center of a galaxy. The algorithm, which was described in detail in an…

Astrophysics of Galaxies · Physics 2016-03-01 David Merritt

This paper, and its companion, investigate the evolution of dense stellar systems due to the influence of two-body gravitational encounters, physical collisions and stellar evolution. Our goal is the simulation of the densest centers of…

Astrophysics · Physics 2007-05-23 John S. Arabadjis , Douglas O. Richstone

Dense star clusters are spectacular self-gravitating stellar systems in our Galaxy and across the Universe - in many respects. They populate disks and spheroids of galaxies as well as almost every galactic center. In massive elliptical…

Instrumentation and Methods for Astrophysics · Physics 2023-05-22 Rainer Spurzem , Albrecht Kamlah

To be presented is a study of the secular evolution of a spherical stellar system with a central star-accreting black hole (BH) using the anisotropic gaseous model. This method solves numerically moment equations of the full Fokker-Planck…

Astrophysics · Physics 2009-11-10 Pau Amaro-Seoane , Marc Freitag , Rainer Spurzem

Internal dynamical evolution can drive stellar systems into states of high central density. For many star clusters and galactic nuclei, the time scale on which this occurs is significantly less than the age of the universe. As a result,…

Astrophysics · Physics 2009-06-23 Stephen L. W. McMillan

The influence of rotation on the dynamical evolution of collisional stellar systems is investigated by solving the orbit-averaged Fokker-Planck equation in (E,J_z)-space. We find that large amounts of initial rotation drive the system into…

Astrophysics · Physics 2007-05-23 Ch. Einsel , R. Spurzem

We report the results of simulations of dense rotating stellar systems whose members suffer collisions and undergo stellar evolution processes. The initial configuration for each experiment is an isotropic Kuzmin-Kutuzov model. The…

Astrophysics · Physics 2007-05-23 John S. Arabadjis , Douglas O. Richstone

We present the first post core collapse models of initially rotating star clusters, using the numerical solution of an orbit-averaged 2D Fokker-Planck equation. Based on the code developed by Einsel & Spurzem (1999), we have improved the…

Astrophysics · Physics 2009-11-07 Eunhyeuk Kim , Christian Einsel , Hyung Mok Lee , Rainer Spurzem , Myung Gyoon Lee

Structure of a quasi-stationary stellar cluster is modelled assuming that it is embedded in the gravitational field of a super-massive black hole. Gradual orbital decay of stellar trajectories is caused by the dissipative interaction with…

Astrophysics · Physics 2007-05-23 L. Subr , V. Karas , J. -M. Hure

We present a new two-fluid conduction scheme to simulate the evolution of an isolated, self-gravitating, equilibrium cluster of stars and collisionless dark matter on secular (gravothermal) timescales. We integrate the equations in…

Astrophysics of Galaxies · Physics 2025-07-24 Yi-Ming Zhong , Stuart L. Shapiro

Stars bound to a supermassive black hole interact gravitationally. Persistent torques acting between stellar orbits lead to the rapid resonant relaxation of the orbital orientation vectors ("vector" resonant relaxation) and slower…

Astrophysics of Galaxies · Physics 2015-06-19 Bence Kocsis , Scott Tremaine

The calculation results of the evolution of the cluster of primordial black holes based on the Fokker-Planck equation with neglecting of the gas accretion onto black holes are presented. In addition, we consider how a massive black hole…

Cosmology and Nongalactic Astrophysics · Physics 2021-03-22 V. D. Stasenko , A. A. Kirillov

Globular clusters rotate significantly, and with the increasing amount of detailed morphologicaland kinematical data obtained in recent years on galactic globular clusters many interesting features show up. We show how our theoretical…

Astrophysics · Physics 2009-11-11 J. Fiestas , R. Spurzem , E. Kim

Our current understanding of the stellar initial mass function and massive star evolution suggests that young globular clusters may have formed hundreds to thousands of stellar-mass black holes, the remnants of stars with initial masses…

Astrophysics of Galaxies · Physics 2015-06-22 Meagan Morscher , Bharath Pattabiraman , Carl Rodriguez , Frederic A. Rasio , Stefan Umbreit

We present preliminary results of the application of a new sophisticated code which allows high precision integration of orbits of stars belonging to a dense stellar system moving in the vicinity of a massive black hole. This mimics the…

Astrophysics of Galaxies · Physics 2011-12-30 R. Capuzzo-Dolcetta , M. Spera

We present new models of the evolution and dissolution of star clusters evolving under the combined influence of internal relaxation and external tidal fields, using the anisotropic gaseous model based on the Fokker-Planck approximation,…

Astrophysics · Physics 2009-11-10 R. Spurzem , M. Giersz , K. Takahashi , A. Ernst

We study the dynamics of nuclear star clusters, the dense stellar environments surrounding massive black holes in the centers of galaxies. We consider angular momentum diffusion due to two-body scatterings among stellar objects and energy…

High Energy Astrophysical Phenomena · Physics 2024-06-13 Karamveer Kaur , Barak Rom , Re'em Sari

We present an approach for simulating the collisional evolution of spherical isotropic stellar systems based on the one-dimensional Fokker-Planck equation. A novel aspect is that we use the phase volume as the argument of the distribution…

Astrophysics of Galaxies · Physics 2017-10-06 Eugene Vasiliev

The present work extends and deepens previous examinations of the evolution of globular cluster orbits in elliptical galaxies, by means of numerical integrations of a wide set of orbits in 5 self-consistent triaxial galactic models…

Astrophysics · Physics 2009-11-10 R. Capuzzo-Dolcetta , A. Vicari
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