Reaction front dynamics of A + B → C with initially separated reactants

We study the reaction front for the diffusion-reaction system A + B → C with initially separated reactants. We present analytical results for the form of the front and the exponents that characterize its width and height asymptotically, which appear to hold in d ⩾ 2. We also present analytical and numerical results for the form of the reaction front for the 1D case in which one of the reactants is static, and find the width exponent α = 14, which is larger than the mean field exponent (α = 16) but smaller than the value for the case in which both species diffuse (α ⋍ 0.3).