Autocatalytic reaction-diffusion processes in restricted geometries

TL;DR

This paper investigates autocatalytic reaction-diffusion processes in confined geometries, analyzing how topology influences reaction velocity and the time to reach inert states through analytical and numerical methods.

Contribution

It provides new insights into the role of topology in autocatalytic reaction dynamics within restricted geometries, combining analytical and numerical approaches.

Findings

Topology significantly affects reaction velocity.

Average inert state time depends on geometry.

Analytical and numerical methods complement each other.

Abstract

We study the dynamics of a system made up of particles of two different species undergoing irreversible quadratic autocatalytic reactions: $A + B \to 2A$. We especially focus on the reaction velocity and on the average time at which the system achieves its inert state. By means of both analytical and numerical methods, we are also able to highlight the role of topology in the temporal evolution of the system.