Ageing processes in reversible reaction–diffusion systems: Monte Carlo simulations

Abstract

Reaction-diffusion systems with reversible reactions generically display\npower-law relaxation towards chemical equilibrium. In this work we investigate\nthrough numerical simulations aging processes that characterize the\nnon-equilibrium relaxation. Studying a model which excludes multiple occupancy\nof a site, we find that the scaling behavior of the two-time correlation and\nresponse functions are similar to that discovered previously in an exactly\nsolvable version with no restrictions on the occupation numbers. Especially, we\nfind that the scaling of the response depends on whether the perturbation\nconserves a certain quantity or not. Our results point to a high degree of\nuniversality in relaxation processes taking place in diffusion-limited systems\nwith reversible reactions.\n