Decay Process for Three - Species Reaction - Diffusion System

TL;DR

This paper develops a deterministic rate equation for a three-species reaction-diffusion system, analyzing decay processes and reaction rates both analytically and numerically on a 2D lattice, with focus on crossover behavior.

Contribution

It introduces a new deterministic rate equation for a three-species reaction-diffusion system and studies the decay process and reaction rate crossover analytically and numerically.

Findings

Analytical and numerical results for particle density and reaction rate.

Identification of crossover behavior in reaction rate over time.

Abstract

We propose the deterministic rate equation of three-species in the reaction - diffusion system. For this case, our purpose is to carry out the decay process in our three-species reaction-diffusion model of the form $A+B+C\to D$. The particle density and the global reaction rate are also shown analytically and numerically on a two-dimensional square lattice with the periodic boundary conditions. Especially, the crossover of the global reaction rate is discussed in both early-time and long-time regimes.