Coagulation-fragmentation models with diffusion

Abstract

Consider systems of a very large number of particles, being suspended in a fluid, for example, which can diffuse and coagulate to form clusters that, in turn, can merge to form larger clusters or can break apart into smaller ones. Models of cluster growth arise in a variety of situations, for example in aerosol science, atmospheric physics, colloidal chemistry, or polymer science, etc. The theory originates in the work of M.V. Smoluchowski [9], [10] and has found various generalizations, extensions, and applications in the physical literature