https://doi.org/10.1007/s100510070107
Properties of the asymptotic nA + mB → C reaction-diffusion fronts
Département de Physique Théorique, Université de Genève, 1211 Genève 4, Switzerland
Received:
12
April
2000
Published online: 15 October 2000
We discuss, at the mean-field level, the asymptotic shape of the reaction fronts in the general nA + mB → C reaction-diffusion processes with initially separated reactants, thereby generalizing to arbitrary reaction-order kinetics the work done by Gálfi and Rácz for the case n=m=1. The obtained information allows us to calculate the asymptotic density of C particles deposited by the moving reaction front, a quantity that plays an important role in the theories of Liesegang patterns formation.
PACS: 82.20.Mj – Nonequilibrium kinetics / 82.20.Db – Statistical theories (including transition state) / 66.30.Ny – Chemical interdiffusion; diffusion barriers
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2000
