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.
Braunstein, L., Martin, H., Grynberg, M., Roman, H. (1992). Effects of probability of reaction on annihilation reactions in one dimension. JOURNAL OF PHYSICS. A, MATHEMATICAL AND GENERAL, 25(5), L255-L260 [10.1088/0305-4470/25/5/009].
Effects of probability of reaction on annihilation reactions in one dimension
Roman H. E.
1992
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.
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