  A 3D Cellular Automaton model developed by the authors to deal with the
dynamics of N-body interactions has been adapted to investigate the head-on
collision of two identical bound clusters of particles, and the ensuing process
of fragmentation. The range of impact energies is chosen low enough, to secure
that a compound bound cluster can be formed. The model is devised to simulate
the laboratory set-up of fragmentation experiments as monitored by 4pi
detectors. The particles interact via a Lennard-Jones potential. At low impact
energies the numerical experiments following the dynamics of the individual
particles indicate a phase of energy sharing among all the particles of the
compound cluster. Fragments of all sizes are then found to evaporate from the
latter cluster. The cluster sizes, measured in our set-up by simulated 4pi
detectors, conform to a power law of exponent around 2.6.
