Aging processes in reversible reaction-diffusion systems: Monte Carlo simulations

TL;DR

This paper investigates aging and relaxation in reversible reaction-diffusion systems through Monte Carlo simulations, revealing universal scaling behaviors and the influence of conservation laws on response functions.

Contribution

It demonstrates that aging dynamics in restricted reversible reaction-diffusion models exhibit universal scaling similar to unrestricted models, highlighting the role of conservation laws.

Findings

Scaling behavior of correlation and response functions is similar across models.

Response scaling depends on whether a certain quantity is conserved.

Results suggest high universality in relaxation processes of diffusion-limited reversible systems.

Abstract

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