Dimensional crossovers in A + B {r{underscore}arrow} 0 reaction in tubular geometries

Diffusion-controlled A + B {r{underscore}arrow} 0 reactions in constrained geometries are well-known to obey nonconventional dimension-dependent kinetics. The authors investigate these kinetics in narrow d-dimensional tubes to study the crossovers from early time d-dimensional kinetics to eventual o...

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Published inThe journal of physical chemistry. A, Molecules, spectroscopy, kinetics, environment, & general theory Vol. 103; no. 40
Main Authors Reigada, R., Lindenberg, K.
Format Journal Article
LanguageEnglish
Published United States 07.10.1999
Subjects
40 CHEMISTRY
DIFFUSION
DIMENSIONS
MATHEMATICAL MODELS
REACTION KINETICS
TUBES
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Summary:Diffusion-controlled A + B {r{underscore}arrow} 0 reactions in constrained geometries are well-known to obey nonconventional dimension-dependent kinetics. The authors investigate these kinetics in narrow d-dimensional tubes to study the crossovers from early time d-dimensional kinetics to eventual one-dimensional. These workers rely on a reaction-diffusion model that leads to analytically verifiable quantitative results. The crossover times are identified as those times at which the kinetic exponent exhibits maximum curvature and are shown to be universally given by t{sub c} = 0.034W{sup 2}/D where W is the width of the tube along a narrow direction and D is the diffusion coefficient of both species. This procedure overcomes many of the statistical difficulties inherent in Monte Carlo simulations of this problem.
Bibliography:FG03-86ER13606
USDOE
ISSN:1089-5639
1520-5215
DOI:10.1021/jp9914018