We here present the details of the numerical realization of the recently ad
vanced algorithm developed to identify the fragmentation in heavy ion react
ions. This new algorithm is based on the simulated annealing method and is
dubbed the simulated annealing clusterization algorithm (SACA). We discuss
the different parameters used in the simulated annealing method and present
an economical set of the parameters which is based on the extensive analys
is carried out for the central and peripheral collisions of Au-Au, Nb-Nb, a
nd Pb-Pb. These parameters are crucial for the success of the algorithm. Ou
r set of optimized parameters gives the same results as the most conservati
ve choice, but is very fast. We also discuss the nucleon and fragment excha
nge processes which are very important for the energy minimization and fina
lly present the analysis of the reaction dynamics using the new algorithm.
This algorithm can be applied whenever one wants to identify which of a giv
en number of constituents form bound objects. (C) Academic Press.