English

Relaxation of spherical stellar systems

Astrophysics of Galaxies 2019-09-25 v1

Abstract

10,000 simulations of 1000-particle realisations of the same cluster are computed by direct force summation. Over three crossing times the original Poisson noise is amplified more than tenfold by self-gravity. The cluster's fundamental dipole mode is strongly excited by Poisson noise, and this mode makes a major contribution to driving diffusion of stars in energy. The diffusive flow through action space is computed for the simulations and compared with the predictions of both local-scattering theory and the Balescu-Lenard (BL) equation. The predictions of local-scattering theory are qualitatively wrong because the latter neglects self-gravity. These results imply that local-scattering theory is of little value. Future work on cluster evolution should employ either N-body simulation or the BL equation. However, significant code development will be required to make use of the BL equation practicable.

Keywords

Cite

@article{arxiv.1906.11651,
  title  = {Relaxation of spherical stellar systems},
  author = {Jun Yan Lau and James Binney},
  journal= {arXiv preprint arXiv:1906.11651},
  year   = {2019}
}

Comments

Submitted to MNRAS

R2 v1 2026-06-23T10:05:25.670Z