On the structure of globular cluster systems in elliptical galaxies
  It has long been known that the radial density profiles of globular cluster systems (GCSs) in elliptical galaxies vary with the total luminosities of their host galaxies. In order to elucidate the origin of this structural non-homology in GCSs, we numerically investigate the structural properties of GCSs in elliptical galaxies formed from a sequence of major dissipationless galaxy merging. We find that the radial density profiles of GCSs in elliptical galaxies become progressively flatter as the galaxies experience more major merger events. The density profiles of GCSs in ellipticals are well described as power-laws with slopes (${\alpha}_{\rm gc}$) ranging from -2.0 to -1.0. They are flatter than, and linearly proportional to, the slopes (${\alpha}_{\rm s}$) of the stellar density profiles of their host galaxies. We also find that the GCS core radii ($r_{\rm c}$) of the density profiles are larger in ellipticals that experienced more mergers. By applying a reasonable scaling relation between luminosities and sizes of galaxies to the simulation results, we show that ${\alpha}_{\rm gc} \approx -0.36 M_{\rm V}-9.2$, $r_{\rm c} \approx -1.85 M_{\rm V}$, and ${\alpha}_{\rm gc} \approx 0.93 {\alpha}_{\rm s}$, where $M_{\rm V}$ is the total $V$-band absolute magnitude of a galaxy. 
Kenji Bekki & Duncan A. Forbes