English

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

Statistical Mechanics 2008-06-10 v1

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 ϕ2\phi\approx 2. However this approach did not work for reduced diffusion rates higher than D0.3D\approx 0.3, where 0D10\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.

Keywords

Cite

@article{arxiv.0806.1248,
  title  = {Simulational study for the crossover in the generalized contact process with diffusion},
  author = {W. G. Dantas and M. J. de Oliveira and J. F. Stilck},
  journal= {arXiv preprint arXiv:0806.1248},
  year   = {2008}
}

Comments

9 pages and 5 figures

R2 v1 2026-06-21T10:48:22.201Z