Two-site self-consistent method for front propagation in reaction-diffusion systems.

We study front propagation in the reaction-diffusion process A<-->2A on a one-dimensional lattice with hard core interaction between the particles. We propose a two-site self-consistent method to make analytic estimates for the front velocity that are in good agreement with the simulation results for all parameter regimes. We expect that the simplicity of the method will allow one to use this technique for estimating the front velocity in other reaction diffusion processes as well.