THOMPSON'S METHOD APPLIED TO DIFFUSION LIMITED CHEMICAL REACTION A+B→0, WITH DIFFERENT INITIAL CONCENTRATIONS OF THE TWO SPECIES

In this work we use Thompson's renormalization group method to treat diffusion limited chemical reactions A + B →0 (inert product), with unequal initial concentrations of the two species, by considering ρ A (0)≪ρ B (0). For d≤2, we obtain stretched exponential decaying of the specie A, which is in agreement with rigorous result of Bramson and Lebowitz. For d>2, we obtain simple exponential decaying of the specie A.