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The diffusion-limited reaction A + A →0 in the steady state: influence of correlations in the source
Authors:E Clment  R Kopelman  L Sander
Institution:

a Laboratoire d'Acoustique et d'Optique de la Matière Condensé, Université Pierre et Marie Curie, case 86, 4 place Jussieu, 75252 Paris Cedex 05, France

b Department of Chemistry, The University of Michigan, Ann Harbor, MI 48109, USA

c Department of Physics, The University of Michigan, Ann Harbor, MI 48109, USA

Abstract:We study theoretically the kinetics of the diffusion-limited reaction Image + Image →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.
Keywords:
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