| dc.description |
We study analytic and numerical solutions for a model for the dynamics of cluster growth with fragmentation. The model is restricted to a process involving a monomer - cluster reaction and the cluster of N particles cannot adsorb particles, it can only split up, that is, the cluster is unstable, and for mathematical convenience we propose that it is split up mainly into monomers. In this model both coagulation and fragmentation processes scale with cluster size. Both sourceless and with-source evolutions are discussed. Our analysis shows that in the with-source case the final evolution for the concentrations is of the form for and linear on t for . By comparison, when there is no restriction to the maximum size for polymers and no dissociation the evolution goes asymptotically as . |
