Complex dynamics in initially separated reaction-diffusion systems

S. Havlin, M. Araujo, Y. Lereah, H. Larralde, A. Shehter, H.E. Stanley, P. Trunfio and B. Vilensky

Physica A: Statistical Mechanics and its Applications, 1995, vol. 221, issue 1, 1-14

Abstract: We review recent developments in the study of the diffusion reaction systems 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 the mean field exponent characterizes the width of the reaction zone, fluctuations are relevant in the one-dimensional system. We present analytical and numerical results for the reaction rate on fractals and percolation systems at criticality.We also study the case where the particles are Lévy flights in d = 1. Finally, we consider experimentally, analytically, and numerically the reaction A + Bstatic → C, where species A diffuses from a localized source.

Date: 1995
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:221:y:1995:i:1:p:1-14

DOI: 10.1016/0378-4371(95)00246-4

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