https://doi.org/10.1140/epjb/e2003-00130-7
Numerical analysis of reversible A + B ↔ C reaction-diffusion systems
Institute of Theoretical Physics, University of Wrocław, plac
Maxa Borna 9, 50204 Wrocław, Poland
Corresponding author: a zkoza@ift.uni.wroc.pl
Received:
6
June
2002
Revised:
20
January
2003
Published online:
7
May
2003
We develop an effective numerical method of studying large-time properties of reversible reaction-diffusion systems of type A + B ↔ C with initially separated reactants. Using it we find that there are three types of asymptotic reaction zones. In particular we show that the reaction rate can be locally negative and concentrations of species A and B can be nonmonotonic functions of the space coordinate x, locally significantly exceeding their initial values.
PACS: 66.30.Ny – Chemical interdiffusion; diffusion barriers / 82.20.-w – Chemical kinetics and dynamics / 02.60.Lj – Ordinary and partial differential equations; boundary value problems
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2003