DIFFUSION-CONTROLLED REACTION, A+B-]C, WITH INITIALLY SEPARATED REACTANTS

We review recent developments in the study of diffusion-reaction systems of the type A + B --> C in which the reactants are initially separated. We consider two initial boundary conditions: (i) the A and B particles are initially placed uniformly in Euclidean space at x > 0 and X < 0 respectively, and (ii) the A particles are diffusing and inserted at a given site and the B particles are static and distributed uniformly in space. We present analytical and numerical results for both systems. We consider d = 1, 2, 3 dimensional systems as well as fractal lattices.