Effects of probability of reaction on annihilation reactions in one dimension

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Abstract
The authors report Monte Carlo simulations of annihilation reactions A+A to 0 in a one-dimensional lattice for hard-core particles. In the model, the particles perform a random walk and can react (occupy the same site and annihilate) with a probability of reaction p- gamma , after an initial plateau at short times. The exponent gamma is nonuniversal and depends only on rho , 1/2( gamma (1. Both the diffusion-controlled and the reaction-controlled reactions limits are recovered when p=1 and p to 0, respectively. These results should be relevant for annihilation reactions taking place on effectively low-dimensional substrates of spectral dimension ds(2 such as rough surfaces, porous media and ramified structures.