Diffusion-controlled reaction<i>A</i>+<i>B</i>→0 in one dimension: The role of particle mobilities and the diffusion-equation approach

Abstract

We investigate the influence of different mobilities of A and B particles on the time evolution of the particle concentration in the diffusion-controlled reaction A+B\ensuremath{\rightarrow}0. For different concentrations of A and B particles, Monte Carlo simulations display two main behaviors, depending on whether the majority species moves or is at rest. An analytical approximation based on the diffusion equation shows reasonable agreement with the Monte Carlo simulations and gives lower bounds for the concentrations' decay.