The diffusion-limited reaction A + A -->0 in the steady state: influence of correlations in the source

We study theoretically the kinetics of the diffusion-limited reaction + -->0 in the steady state. We consider the effect of an external source which adds correlated pairs of particles. We show that in dimensions below 2 and in the low-density limit spatial self-organization of reactants occurs and is controlled by the correlation in the source term. At higher densities there is a crossover to a regime similar to the random landing case, exhibiting a non-classical order of reaction.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/31751/1/0000691.pd