Scaling behavior of diffusion limited annihilation reactions on random media

de Albuquerque, Édler L.; Lyra, Marcelo L.
October 1996
Journal of Chemical Physics;10/8/1996, Vol. 105 Issue 14, p5945
Academic Journal
We investigate numerically the kinetics of diffusion limited annihilation reactions in disordered binary square lattices where the reacting particles are constrained to diffuse on a concentration p of the lattice sites. We find that the asymptotic decay of the particle concentration in the percolative regime is of the form c(t,p)-cr(p)∝t-ds/2, where cr(p) is the concentration of residual particles. We recover well known results such as ds(p>=pc)=d=2 with logarithmic corrections, and ds(pc)=1.34±0.02. For p


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