N-Body 2008

N-body problem: numerical methods and applications

Turku, Finland, 10-14 August 2008


Abstracts


E. Vasiliev
Dark Matter Dynamics at the Galactic Center

We consider the evolution of dark matter distribution in the Galactic center, which is caused by gravitational scattering of dark matter particles on stars of galactic bulge, their absorption by supermassive black hole in the galactic center, and annihilation. The evolution is described by Fokker-Planck equation in energy--angular momentum phase space. We follow the evolution of dark matter distribution for a number of different models of initial dark matter density profile and show that after a few relaxation times the evolved density profiles are quite similar; we also discuss the main features of this evolution and its difference from well-known Bahcall-Wolf cusp solution for stars. The evolved profiles imply a possible annihilation rate that is consistent with observational constraints.


Sverre Aarseth
N-Body Algorithms

These talks cover a variety of procedures for direct N-body simulations. The main topics can be summarized under the following headlines:

Standard integration methods.
Two-body treatments and hierarchical stability.
Practical aspects of units and initial conditions.
Synthetic stellar evolution.
Three-body regularization.
Applications of post-Newtonian terms.
Wheel-spoke regularization.
GPU implementation for NBODY6.

Post-Newtonian dynamics for orbiting compact objects
For orbiting compact objects, Post-Newtonian (PN) approximation provides corrections to Newtonian dynamics that are based on General Theory of Relativity. Why it is interesting and what it can provide will be explained and a symbolic demonstration of a PN computation will be sketched. Further, subtleties present in solving PN-accurate dynamics will be explained. Semi-analytic Efforts to go beyond PN-accurate binary dynamics and PN corrections to 3-Body interactions will also be briefly discussed.





This page was created on 26th March 2008 and last modified on 6th August 2008 by Rami T. F. Rekola.