  Mass segregation problem is thought to be entangled with the dynamical
evolution of young stellar clusters \cite{olczak}. This is a common sense in
the astrophysical community. In this work, the Hamiltonian Mean Field (HMF)
model with different masses is studied. A mass segregation phenomenon (MSP)
arises from this study as a dynamical feature. The MSP in the HMF model is a
consequence of the Landau damping (LD) and it appears in systems that the
interactions belongs to a long range regime. Actually HMF is a toy model known
to show up the main characteristics of astrophysical systems due to the mean
field character of the potential and for different masses, as stellar and
galaxies clusters, also exhibits MSP. It is in this sense that computational
simulations focusing in what happens over the mass distribution in the phase
space are performed for this system. What happens through the violent
relaxation period and what stands for the quasi-stationary states (QSS) of this
dynamics is analyzed. The results obtained support the fact that MSP is
observed already in the violent relaxation time and is maintained during the
QSS. Some structures in the mass distribution function are observed. As a
result of this study the mass distribution is determined by the system dynamics
and is independent of the dimensionality of the system. MSP occurs in a one
dimensional system as a result of the long range forces that acts in the
system. In this approach MSP emerges as a dynamical feature. We also show that
for HMF with different masses, the dynamical time scale is $N$.

Statistical Mechanics