%0 Journal Article
%T Localization-delocalization transition of a reaction-diffusion front near a semipermeable wall
%A B. Chopard
%A M. Droz
%A J. Magnin
%A Z. Racz
%J Physics
%D 1997
%I arXiv
%R 10.1103/PhysRevE.56.5343
%X The A+B --> C reaction-diffusion process is studied in a system where the reagents are separated by a semipermeable wall. We use reaction-diffusion equations to describe the process and to derive a scaling description for the long-time behavior of the reaction front. Furthermore, we show that a critical localization-delocalization transition takes place as a control parameter which depends on the initial densities and on the diffusion constants is varied. The transition is between a reaction front of finite width that is localized at the wall and a front which is detached and moves away from the wall. At the critical point, the reaction front remains at the wall but its width diverges with time [as t^(1/6) in mean-field approximation].
%U http://arxiv.org/abs/cond-mat/9706297v1