The Asymptotic Behavior of Heterogeneous Coagulation-Fragmentation Processes

In this paper, we not only give a closed form of stationary distribution of heterogeneous coagulation-fragmentation process (HCFP) which models the coagulation, fragmentation and diffusion of clusters of particles on lattice, but also prove that the distribution of the number of k-cluster is asymptotically subjected to the Poisson distribution with the parameter h(k)r as the total number of particles N→ ∞.