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. 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 $\varphi \approx 2$. However this approach did not work for reduced diffusion rates higher than $D\approx 0.3$, where $0\le D\le 1$ 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.

9 pages and 5 figures