Analytical results for the reactivity of a single-file system

We derive analytical expressions for the reactivity of a single-file system with fast diffusion and particles entering and leaving the system at one end. If the conversion reaction is fast, then the reactivity depends only very weakly on the system size, and the conversion is about 100%. If the reac...

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Published inPhysical review. E, Statistical, nonlinear, and soft matter physics Vol. 67; no. 3 Pt 2; p. 036104
Main Authors Jansen, A P J, Nedea, S V, Lukkien, J J
Format Journal Article
LanguageEnglish
Published United States 01.03.2003
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Summary:We derive analytical expressions for the reactivity of a single-file system with fast diffusion and particles entering and leaving the system at one end. If the conversion reaction is fast, then the reactivity depends only very weakly on the system size, and the conversion is about 100%. If the reaction is slow, then the reactivity becomes proportional to the system size, the loading, and the reaction rate constant. If the system size increases the reactivity goes to the geometric mean of the reaction rate constant and the rate of particles entering and leaving the system. For large systems, the number of unconverted particles decreases exponentially with distance from the open end.
ISSN:1539-3755
DOI:10.1103/PhysRevE.67.036104