Mass segregation on Hamiltonian Mean Field model

The dynamical evolution of young stellar clusters is thought to be entangled with that of the mass segregation. This is a common sense in the astrophysical community. In this work, mass segregation phenomena (MSP) is investigated, as a dynamical feature, using the Hamiltonian Mean Field (HMF) model. The study of MSP in the HMF model is justified by the fact that stellar and galaxies clusters are clearly examples of systems with long range interaction as the HMF itself and exhibits MSP. To achieve this aim, we introduce different masses in the Hamiltonian and perform computational simulations for that HMF model. We focus in looking for what happens over the mass distribution in the phase space for the system. A comparison with a short range version of HMF, with only first neighbours interaction, that is known as XY-model, also with different masses is made. The integration of the equations of motion is conducted using a fourth-order symplectic Omelyan integrator. We analyse what happens through the violent relaxation period and what stand for the quasi-stationary states (QSS) of this dynamics. The results obtained support the fact that MSP is observed already in the violent relaxation time and is maintained during the QSS's that come after that. Some structures are observed in the mass distribution function. Another result of this study is that 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.