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 $\phi\approx 2$. 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.
- Publication:
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arXiv e-prints
- Pub Date:
- June 2008
- DOI:
- 10.48550/arXiv.0806.1248
- arXiv:
- arXiv:0806.1248
- Bibcode:
- 2008arXiv0806.1248D
- Keywords:
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- Condensed Matter - Statistical Mechanics
- E-Print:
- 9 pages and 5 figures