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 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.

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