Effects of spatial disorder in modelling the anomalous diffusion of tracer particles on a graphene lattice

Modern microscopic techniques such as high resolution transmission electron microscopy have been developed by experimentalists in order to track the anomalous diffusion of tracer particles. By using the site percolation model, this paper investigated the effects of spatial disorder on a graphene lattice and how parameters such as the percolation threshold contributes to a significant deviation from the linear diffusion equation. In order to obtain the numerical percolation threshold, a cluster-identifying algorithm was developed.