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Monte Carlo Studies of a Coupled ‘Elementary’ Reaction-Diffusion System in One Dimension

Published online by Cambridge University Press:  15 February 2011

Anna Lin  and
Raoul Kopelman
Anna Lin
Affiliation:
Department of Chemistry, University of Michigan, Ann Arbor, MI 48109
Raoul Kopelman
Affiliation:
Department of Chemistry, University of Michigan, Ann Arbor, MI 48109
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Abstract

The anomalous rate laws of diffusion limited elementary reactions in low dimensions have garnered attention over the past decade as researchers have become aware that the mean field approximation utilized in traditional kinetic rate equations is not valid in low and fractal dimensions. We use Monte Carlo simulations to study a diffusion limited system simultaneously undergoing A+B-->0 and A+A--> 0 reactions, a common situation in photochemistry. We are studying how this coupled system affects the attenuation of local fluctuations and thus the rate laws of the system in low dimensions and how these results compare to the mean field rate laws. Our results give useful guidelines for studying this type of reaction system experimentally.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 366: Symposium N – Dynamics in Small Confining Systems , 1994 , 313
Copyright
Copyright © Materials Research Society 1995

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