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Elementary Rate Laws of Diffusion-Limited Species in the A+T→T Reaction in Low Dimension

Published online by Cambridge University Press:  15 February 2011

Rod Schoonover  and
Raoul Kopelman
Rod Schoonover
Affiliation:
Department of Chemistry, University of Michigan, Ann Arbor, Michigan 48109
Raoul Kopelman
Affiliation:
Department of Chemistry, University of Michigan, Ann Arbor, Michigan 48109
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Abstract

Through computer simulation we look at the elementary reaction rate laws of the trapping reaction A+T→T reaction on a one-dimensional lattice. In particular, we calculate the heterogeneity exponent h of the integrated reaction rate law. However, as the reaction probability p is varied, the heterogeneity exponent becomes a function of time. We find a bifurcation of asymptotic values of h: 1/2 for reactions where p ≤ 1.0 and 0 where p=0. In addition, the usual constraints of the trapping problem have been relaxed, and we look at systems where the A's move and the T remains immobile and the reverse case, where the T moves and the A's sit.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 290: Symposium N – Dynamics in Small Confining Systems , 1992 , 255
Copyright
Copyright © Materials Research Society 1993

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