### Table of Contents

# GC2: Challenge 2

## Clusters with a mass function

**PI**: Miklos Peuten

**Other participants**: Mark Gieles, Adriano Agnello, Alice Zocchi, Antonio Sollima, Vincent Henault-Brunet, Anna Lisa Varri

Questions to address:

- Can the mass segregation be reproduced by multi-mass King models?
- How important is the effect of mass segregation?
- How correct is the assumption of energy equipartition?

Example of comparison between isotropic multi-mass model and N-body model with 100% retention fraction of stellar BHs:

### Effect of metallicity

Density and velocity profiles of clusters with different mass function:

Importance for mass-to-light ratio: (Shanahan et al. to be submitted):

The relevant snapshots from simulations with a mass function are available in section B of the Mock data page.

The definition of the stellar types (KSTAR) used in the `NBODY6`

snapshots can be found in the Appendix section of the Mock data page.

### Anisotropy in multi-mass models

Anisotropy profile of different components in multi-mass clusters. Left: N-body simulation with 10% retention fraction of black holes. Right: Three-component multi-mass Michie model.

Anisotropy profile of different mass components in Michie-King multi-mass model constructed with a dependence of the anisotropy radius on stellar mass.

Anisotropy profile of different components in multi-mass cluster, N-body simulation with 100% retention fraction of black holes.