Simulational study for the crossover in the generalized contact process with diffusion

Abstract

In a recent work, Dantas and Stilck studied a model that generalizes the contact process model with diffusion [1]. Our approach, based on the supercritical expansion, showed that for a weak diffusion regime the crossover exponent between the directed percolation and compact directed percolation universality classes was φ ≈ 2. However this approach did not work for reduced diffusion rates higher than D ≈ 0.3, where 0 ≤ D ≤ 1 and D = 1 corresponds to an infinite diffusion rate. Thus, in the present work we estimate this crossover exponent for higher diffusion rates using a numerical simulation approach.