Kinetics of aggregation-annihilation processes.

Irreversible aggregation and annihilation processes occur in many natural phenomena [1,2]. The kinetics of each of these processes is well understood both on the mean-field level which provides an accurate description when fluctuations in reactant densities can be ignored [3,1,4] and in the fluctuation-dominated regime which occurs in low-dimensional systems, see [5], and references therein. It was found in particular that the cluster-mass distribution in aggregating systems typically approaches a universal scaling form [2,4].