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Monte Carlo Study of A+A+A→0 and A+2B→0 Reactions

Published online by Cambridge University Press:  10 February 2011

Andrew Yen  and
Raoul Kopelman
Andrew Yen
Affiliation:
Department of Chemistry, University of Michigan, Ann Arbor, MI 48109–1055
Raoul Kopelman
Affiliation:
Department of Chemistry, University of Michigan, Ann Arbor, MI 48109–1055
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Abstract

The diffusion-limited annihilation reactions A+A→products and A+B→products havebeen subject to theoretical, numerical, and experimental study over the past decade. “Anomalous” behaviors have been reported for both reactions, but with different upper critical dimensions (d=2 and d=4 respectively). The critical dimensions and the scaling of the exponents for the generalized reaction nA+mB→products depends on n and m. We present Monte Carlo simulations for two different types of third-order reactions, A+A+A→0 and A+2B→0, on both one and two dimensional lattices. Our numerical results show that for the two-dimensional case the behavior of the reaction follows mean-field theory while in one dimension the result is“anomalous”. Our numerical results are in good agreement with theory based on microscopic arguments and scaling analysis.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 464: Symposium FF – Dynamics in Small Confining Systems III , 1996 , 281
Copyright
Copyright © Materials Research Society 1997

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References

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