Domain synchronization of a cyclic Lotka–Volterra reaction diffusion mechanism

Abstract

The domain synchronization of a cyclic Lotka–Volterra reaction diffusion mechanism is studied in a dilute solution. This is done by performing a number of molecular dynamics simulations, and by setting up a mathematical model that can account for the dynamics seen in the simulations. The simulations show that below a certain critical length the domain is synchronized, but for larger domains the system quickly becomes unsynchronized. A mathematical model based on the law of mass action and Fick’s law will not reveal this critical length. However, if an ad hoc Gaussian noise term is added to the model, it resemble the synchronization phenomena seen in the molecular dynamics simulations.