A stochastic theory is presented for nucleation and growth of clusters in a finite system. We consider a discrete cluster distribution for which the free energy and the equilibrium probability distribution are derived. The cluster growth and shrinkage occurs by the attachment/evaporation of free...

This paper investigates the agglomeration of active walkers (component A) on a two- dimensional surface, described by a potential U(r,t), that determines the motion of the walkers. The walkers are able to change U(rt) locally by producing a second component B, that decreases U(r,t) and which can...

We investigate the dynamics of the CO oxidation on Pt(100) by means of a master equation approach. Adsorption, diffusion and the reaction are modelled as a stochastic birth and death process. The transformation from the hexagonal phase to the (1 × 1)-phase is described by a Glauber dynamics....