Behavior of the reaction front forA+B→Cdiffusion-reaction systems: An analytic approach

The time behavior of the reaction front between initially separated reactants of the diffusion-limited reaction $A+B\to C$ in a one-dimensional system is studied by means of a stochastic approach. The asymptotic results of this scheme give a rather good agreement with simulations regarding the time power indexes of scaling for the height and width of the distribution of $C$ particles.