A direct simulation Monte-Carlo method for cluster coagulation

Abstract A method for analyzing cluster coagulation is presented which relies on a Monte-Carlo analysis of individual particles as they interact and form clusters from a homogeneous, monodisperse medium. Four case studies are shown, three of which compare the results of the code to the known analytic solutions of the Smoluchowski equation and the fourth considers the cluster size spectrum obtained from a generalized analytic recurrence solution to the Smoluchowski equation which allows, in principle, the generation of the entire cluster size distribution from the partial distribution given by the Monte-Carlo code.