Colored diffusion-limited aggregation for urban migration

In this paper we study the growth probability and cluster morphologies which emerge in an off-lattice, two-dimensional, colored diffusion-limited aggregation model for urban dynamics, particularly migration. To reach this goal, three immobile interacting clusters that include the geographical concept of gravity are studied by exact enumeration. In our simulations we find a strong correlation between the seed’s distance, migration rules and number of aggregated particles. The growth probability of a certain angular subset and its rate and route of convergence to a Normal distribution when migration cost is acting are also shown. We search how all the factors mentioned above determine the cluster morphologies.