Annihilation reactions in two dimensional percolation clusters: effects of short range interactions

MIGUEL LUIS HOYUELOS; HECTOR MÁRTIN,

PHYSICAL REVIEW E - STATISTICAL PHYSICS, PLASMAS, FLUIDS AND RELATED INTERDISCIPLINARY TOPICS

AMER PHYSICAL SOC

Año: 1993 vol. 48 p. 71 - 76

1063-651X

We report Monte Carlo simulations of annihilation reaction A+A→0 in two-dimensional percolation clusters. In the model, the particles diffuse coupled by nearest-neighbor (NN) and next-nearest-neighbor (NNN) interactions. The following cases have been studied: (i) repulsive NN interaction, (ii) repulsive NN and NNN interactions, and (iii) repulsive NN and attractive NNN interactions. In the intermediate-time regime, for cases (i) and (ii), we found that the density of particles ρ approximately decays as ρ∼t^(-γ) (2/3