in Fig. \[fig\_expl\] or $\e =0.4$ in Fig. \[fig\_expla\], indeed undergoes an explosion which brings it to the uniform equilibrium state. During such an explosion, the state variables such as kinetic energy and virial variable continuously change from their equilibrium core-halo state values to the uniform state ones, and the core gradually sheds particles until only one particle is left.

![\[fig\_expl\] Plots of the kinetic energy $\e'_{kin}(\t)$ (top) and relative number of core particles $N'_{core}(\t)$ (bottom) (defined as in Fig. \[fig\_ec\]) vs time $\t$ for a system with $\e=0.5$ and $N=250$. The kinetic energy is averaged over $\d \t=100$ time intervals. ](fig12.eps){width=".45\textwidth"}

![\[fig\_expla\] Same as in Fig. \[fig\_expla\] but for $\e=0.4$. ](fig13.eps){width=".45\textwidth"}

The main features of an explosion (Figs. \[fig\_expl\] and \[fig\_expla\]) resemble those of a time-reversed collapse. The kinetic energy evolves relatively uniformly, while the number of core particles changes only slightly during the first stages of evolution and rapidly decreases at the final stages. In the example presented in Fig. \[fig\_expl\], the explosion is complete after the time $t_{expl}\approx 15000$, which is noticeably less than the time for a collapse $t_{coll}\approx 10^5$ (see Fig. \[fig\_N\]) for a system having the same number of particles ($N=250$). However, the latter 