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Crossover Time Behavior in a+b⃗c And a+2b⃗c Reaction-Diffusion Front Systems in a Capillary

Published online by Cambridge University Press:  10 February 2011

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

The crossover time from the early-time regime to the asymptotic regime for the A+B⃗+C reaction-diffusion system with initially separated reactants has been derived analytically by matching the rate expressions for the two regimes. The crossover time expression thus obtained shows an explicit dependence on the rate constant (k) and the initial reactant concentrations (ao, bo). For the A+2B⃗C system we performed computer simulations using two different methods. Crossover behaviors for the global reaction rate and reaction front width have been observed for both methods. The crossover time depends on the mechanism of the reaction.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 543: Symposium W – Dynamics in Small Confining Systems IV , 1998 , 237
Copyright
Copyright © Materials Research Society 1999

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