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Anomalous Kinetics of the Trapping Reaction in One Dimension Under Steady State Conditions

Published online by Cambridge University Press:  10 February 2011

Anna L. Lin  and
Raoul Kopelman
Anna L. Lin
Affiliation:
Department of Chemistry, The University of Michigan, Ann Arbor, MI 48109-1055, USA
Raoul Kopelman
Affiliation:
Department of Chemistry, The University of Michigan, Ann Arbor, MI 48109-1055, USA
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Abstract

We study the A + B→B trapping reaction under steady state conditions for the case in which both A particles and traps(B) are mobile. Using Monte Carlo simulations, we follow the kinetic rate law in one dimension. Anomalies arise due to self-organization of the A particles, which results in a slower steady state reaction rate than is predicted classically. We find a partial order of reaction with respect to trap density of X = 2, and an overall order for the reaction of Z = 3.2. These results are in agreement with other works which predict an exponential rather than an algebraic decay law with respect to the A particle density.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 407: Symposium M – Disordered Materials and Interfaces-Fractals, structure and Dynamics , 1995 , 137
Copyright
Copyright © Materials Research Society 1996

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References

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