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Annihilation reactions in two-dimensional percolation clusters: Effects of short-range interactions.

We report Monte Carlo simulations of annihilation reaction A+A→O in two-dimensional percolation clusters. In the model, the particles diffuse coupled by nearest-neighbor (NN) and next-nearestneighbor (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 p approximately decays as ρ∼t -γ (2/3<γ<1), where γ depends on specific values of interactions but is independent of the initial density ρ(t=0)