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

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

2008-06-06

arxiv.org/abs/0806.1248v1

Physics

Condensed Matter

Statistical Mechanics

9 pages and 5 figures

Scientific paper

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