Nucleation model for multiparticle reactions with finite reaction rates in one dimension

We study one-dimensional reactions μA→νA (μ>ν)with nucleation and finite reaction rate (k≪) in one dimension for the particle density decay by means of a Monte Carlo simulation and analytic modeling. The anomalous case μ=2 was studied in our previous work. The marginal case μ=3 is described without logaritmic corrections in the mean field approach. The case μ>3 is well described by classical rate equations. The rate equation for the particle density is derived for all μ. We present a mean field approach for the early time regime (reaction-controlled limit) for any initial density. Also, the mean field aproximation is derived in a simple way from the rate equation for any time at low densities.