Evolution of a lamellar system with diffusion and reaction: A scaling approach

We study, by means of computer simulation and scaling analysis, the time evolution of one-dimensional arrays of reactive lamellae described by various initial striation thickness distributions. An infinitely fast reaction A+B{→}2P occurs at the junctures of the lamellae. As the reaction proceeds thin striations are eaten by thick neighboring striations altering the distribution. The system converges toward a universal striation thickness distribution.