Segregation in the static pair annihilation process: Exact results.

Abstract

We study the one-dimensional pair annihilation process A+B\ensuremath{\rightarrow}0, where the particles, which are initially distributed at random, interact in the absence of diffusion through a tunneling law. Monte Carlo simulations indicate that the large-time behavior of this process can be obtained from a staggered version of this model that can be exactly solved. Analytic expressions for the asymptotic decay of the reactant concentration and for the spatial pair correlations are given. Their agreement with the segregation pattern found in the simulations is checked. (c) 1995 The American Physical Society