Reaction kinetics of A plus B -> 0

C.P. Haynes , R. Voituriez , O. Benichou

Bibtex , URL
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 45, 41
Published 19 Oct. 2012
DOI: 10.1088/1751-8113/45/41/415001
ISSN: 1751-8113

Abstract

A method to find the exact reaction rate density function of an A + B -> 0 reaction on a finite 1D bar is derived. We consider the case where the A and B species diffuse at the same rate, have equal initial numbers, with the initial location of either species on the bar being arbitrary. The extension of the method to study A + B -> 0 on fractals is also shown. Additionally, we introduce the notion of a continual (in time) reaction front and a ceasing (in time) reaction front and provide a physical criterion for when either occurs.

This publication is related to:

Stochastic dynamics of reactive and living systems