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Local Reaction Probability Effects in Non-Classical Kinetics: Batch and Steady State

Published online by Cambridge University Press:  15 February 2011

Zhong-You Shi  and
Raoul Kopelman
Zhong-You Shi
Affiliation:
University of Michigan, Department of Chemistry, Ann Arbor, MI 48109-1055, U.S.A.
Raoul Kopelman
Affiliation:
University of Michigan, Department of Chemistry, Ann Arbor, MI 48109-1055, U.S.A.
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Abstract

The reaction A+A→0 is simulated in 1-D and 2-D square lattices with various local reaction probabilities, P. The effective reaction order, X, and the nearest neighbor distance distribution (NNDD), are evaluated in all these reactions. For batch reactions, sharp increases in X with increasing P occur at early times. Classical reaction limited kinetics is obtained at early times only when P→0. At long times, all reactions are in the non-classical, diffusion limited regime, regardless of P. For steady state reactions, our results demonstrate a similar behavior of X with P. The NNDD at steady state in 1-D media at P=1.0, i.e. diffusion limited reaction, follows the previously reported skewed exponential shape. This is no longer true for P<I. Finally, at P→0, as expected, an exponential (Poissonian) distribution is obtained for both reaction conditions.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 290: Symposium N – Dynamics in Small Confining Systems , 1992 , 279
Copyright
Copyright © Materials Research Society 1993

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