Bifurcations Caused by the Diffusion-Induced Noise

TL;DR

This paper investigates how diffusion-induced noise causes bifurcations in open chemical systems, revealing that such fluctuations are bounded and lead to stable long-term evolution, with bifurcation frequency becoming mechanism-insensitive.

Contribution

It introduces a generic mechanism for diffusion-induced noise causing bifurcations, demonstrating bounded fluctuations and analytical bifurcation frequency calculation.

Findings

Fluctuations are bounded at all control parameter values.

Systems remain within stability thresholds, ensuring long-term stability.

Bifurcation frequency becomes insensitive to reaction mechanisms with larger excursions.

Abstract

The properties of the fluctuations large enough to induce bifurcations at open chemical systems at steady constraints are studied. The fluctuations that come from the diffusion-induced noise are considered. It is a generic for the surface reactions driving mechanism of fluctuations whose distinctive property is that it generates bounded fluctuations at any value of the control parameters. The range of boundedness is specific to a system but it is such that the system permanently stays within its thresholds of stability. This in turn ensures long-term stable evolution of the system. The frequency for occurrence of an induced bifurcation is carried out analytically. Its important property is that it gradually becomes insensitive to the reaction mechanism on increasing the excursion size.