Anomalous kinetics in A + B → C with initially-separated reactants

S. Havlin, M. Araujo, H. Larralde, A. Shehter, H. E. Stanley

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

We review recent developments in the study of the diffusion reaction system of the type A + B → C in which the reactants are initially separated. We consider the case where the A and B particles are initially placed uniformly in Euclidean space at x > 0 and x < 0 respectively. We find that whereas for d ≥ 2 a single scaling exponent characterizes the width of the reaction zone, a multiscaling approach is needed to describe the one-dimensional system. We also present analytical and numerical results for the reaction rate on fractals and percolation systems.

Original languageEnglish
Pages (from-to)157-169
Number of pages13
JournalChaos, Solitons and Fractals
Volume6
Issue numberC
DOIs
StatePublished - 1995

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