Concentration fluctuations in reaction kinetics

G. Zumofen*, A. Blumen, J. Klafter

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

199 Scopus citations

Abstract

We study the kinetics of the A+A→P and the A+B→P diffusion-limited reactions by modeling the dynamics through random walks on regular and on fractal lattices. For the pseudounimolecular reactions A(0)≤B(0) we present exact analytical expressions for the target (D A=0) and the trapping (DB=0) problems. The kinetics of trapping as well as of the bimolecular reactions are then determined through simulation calculations. In all cases, we relate the results to Smoluchowski-type forms. Whereas the target and the A+A→P problems are well described by such forms, the trapping and the strictly bimolecular A+B→P reaction show different behaviors at longer times, due to fluctuations in the particle densities.

Original languageEnglish
Pages (from-to)3198-3206
Number of pages9
JournalThe Journal of Chemical Physics
Volume82
Issue number7
DOIs
StatePublished - 1984
Externally publishedYes

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