Evolution of the Stellar Mass Function in Multiple-Population Globular
  Clusters
  We present the results of a survey of N-body simulations aimed at studying
the effects of the long-term dynamical evolution on the stellar mass function
(MF) of multiple stellar populations in globular clusters. Our simulations show
that if first-(1G) and second-generation (2G) stars have the same initial MF
(IMF), the global MFs of the two populations are affected similarly by
dynamical evolution and no significant differences between the 1G and the 2G
MFs arise during the cluster's evolution. If the two populations have different
IMFs, dynamical effects do not completely erase memory of the initial
differences. Should observations find differences between the global 1G and 2G
MF, these would reveal the fingerprints of differences in their IMFs.
Irrespective of whether the 1G and 2G populations have the same global IMF or
not, dynamical effects can produce differences between the local (measured at
various distances from the cluster centre) 1G and 2G MFs; these differences are
a manifestation of the process of mass segregation in populations with
different initial structural properties. In dynamically old and spatially mixed
clusters, however, differences between the local 1G and 2G MFs can reveal
differences between the 1G and 2G global MFs. In general, for clusters with any
dynamical age, large differences between the local 1G and 2G MFs are more
likely to be associated with differences in the global MF. Our study also
reveals a dependence of the spatial mixing rate on the stellar mass, another
dynamical consequence of the multiscale nature of multiple-population clusters.
