Radial evolution in a reaction–diffusion model

Abstract

In this work, we investigate an off-lattice version of the diffusion-reaction model, A+A↔A . We consider extensive numerical simulation of the radial system obtained from a single seed. Observed fluctuations in such an evolving system are characterized by a circular region occupied by particles growing over an empty one. We show that the fluctuating front separating the two regions belongs to the circular subclass of the Kardar–Parisi–Zhang universality class.