Diffusion-controlled bimolecular reactions: Long- and intermediate-time regimes with imperfect trapping within a Galanin approach.

Abstract

We study a model for the A+B\ensuremath{\rightarrow}B diffusion-reaction system in one dimension, in which the reaction sites are modeled by a Markovian stochastic process. Mean values of the A particle density are obtained, exactly for ``dilute'' B systems and approximately for ``dense'' ones. Results are compared with numerical simulations and show good agreement in the short-, intermediate-, and long-time regimes.