DIFFUSION-LIMITED 3-BODY REACTIONS IN ONE-DIMENSION

We study the diffusion-limited reactions 3A --> 2A and 3A --> A in one dimension. The analytic method of interparticle distribution functions is extended to the case where lattice sites can be occupied by more than one particle. The exact leading time behavior of the concentration decay, and the distribution of distances between nearest particles in the long time asymptotic limit are computed. Results of extensive numerical simulations are also presented. From the numerical data, we observe the previously postulated logarithmic corrections to the concentration power-law decay.