Kinetics of coupled bimolecular diffusion-limited reactions

We have studied the coupled set of reactions: A+B→P1,B+C→P2; where the products could be: P1=B or =0, and P2=C or =0, in a one-dimensional system. We have performed simulations and also analyzed the results of a stochastic model adapted from the one used before for trapping and annihilation in a diffusion-limited system. The comparison yields a good agreement between the model and simulations up to intermediate times. For most of the cases, it is shown that the density of A particles reaches a final finite value that is compared with that arising from the theoretical approach. The agreement is good when diffusivities are the same for all the three species and reaction rates are the same for both reactions. Moreover, it comes out that the trends for small variations on diffusivities are well described by the stochastic model while those associated with small variations on reaction rates are better described by a mean-field approach.