Numerical observation of disorder-induced anomalous kinetics in the A+A→∅ reaction

Won Jae Chung and Michael W. Deem

Physica A: Statistical Mechanics and its Applications, 1999, vol. 265, issue 3, 486-499

Abstract: We address via numerical simulation the two-dimensional bimolecular annihilation reaction A+A→∅ in the presence of quenched, random impurities. Renormalization group calculations have suggested that this reaction displays anomalous kinetics at long times, cA(t)∼atδ−1, for certain types of topological or charged species and impurities. Both the exponent and the prefactor depend on the strength of disorder. The decay exponents determined from our simulations agree well with the values predicted by theory. The observed renormalization of the prefactor also agrees well with the values predicted by theory.

Keywords: Disorder-induced anomalous kinetics; Random impurities; Decay exponents (search for similar items in EconPapers)
Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:265:y:1999:i:3:p:486-499

DOI: 10.1016/S0378-4371(98)00548-2

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