Reaction kinetics of A plus B -> 0
C.P. Haynes
,
R. Voituriez
,
O. Benichou
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