|Affiliation||Department of Astronomy, University of Massachusetts, Amherst, MA, 01003, USA|
|Accepted by||Monthly Notices of the Royal Astronomical Society|
We have focussed our attention on the evolution of the GCS mass function (GCMF), on the fraction of surviving clusters and on the ratio of the final to initial total mass in clusters; the dependence of these GCS properties on the structure of the host galaxy as well as their variation with the galactocentric distance inside individual host galaxies has been thoroughly investigated. We have adopted a log-normal initial GCMF with mean mass and dispersion (log Mi = 5.25 and sigmai = 0.6) similar to those observed in the external regions of elliptical galaxies where memory of initial conditions is likely to be well preserved.
After a survey over a large number of different host galaxies we have restricted our attention to a sample of galaxies with effective masses, Me, and radii, Re, equal to those observed for dwarf, normal and giant ellipticals.
We show that, in spite of large differences in the fraction of surviving clusters, the final mean masses, log Mf, of the GCMF in massive galaxies (log Me > 10.5) are very similar to each other (log Mf ~ 5.16, MV = -7.3 assuming M/LV = 2) with a small galaxy-to-galaxy dispersion; low-mass compact galaxies tend to have smaller values of log Mf and a larger galaxy-to-galaxy dispersion. These findings are in agreement with those of recent observational analyses.
The fraction of surviving clusters, Nf}/Ni, increases with the mass of the host galaxy ranging from Nf}/Ni ~ 0.9 for the most massive galaxies to Nf}/Ni ~ 0.1 for dwarf galaxies. We show that a small difference between the initial and the final mean mass and dispersion of the GCMF and the lack of a significant radial dependence of log Mf inside individual galaxies do not necessarily imply that evolutionary processes have been unimportant in the evolution of the initial population of clusters. For giant galaxies most disruption occurs within the effective radius while for low-mass galaxies a significant disruption of clusters takes place also at larger galactocentric distances.
The dependence of the results obtained on the initial mean mass of the GCMF is also investigated and it is shown that outside the interval 4.7 < log Mi < 5.5 both the spread and the numerical values of log Mf are not consistent with those observed.