the growth of the core takes place through a sequential absorption of single particles rather than through hierarchical merging of smaller cores: We never detected other cores containing more than two particles. Although the kinetic energy relaxation trails behind the the core formation, the velocity distribution function remains Maxwellian throughout the whole evolution with the temperature corresponding to the corresponding value of the kinetic energy. This is caused by the fast velocity relaxation ($\t_{vel} \leq 1$) as discussed in the previous section.

Explosion
=========

It is natural to assume that if a system exhibits a collapse, it should also exhibit an explosion which is the reverse to the collapse transition. According to the MF theory, such explosion should take place when the core-halo state becomes unstable, i.e., when $\e \geq \e_{expl}\approx
0.267$. To check this prediction, we initialized the MD system according to the MF equilibrium core-halo state and followed its evolution. As in the study of the collapse, for initial states with $\e > \e_{expl}$ we used the MF density profiles of the highest energy locally stable state, i.e. of the state with $\e = \e_{expl}$.

We observe that a system with sufficiently high energy, such as $\e =0.5$ 