Intrinsic-noise-induced transitions in chaotic systems

Publisher Website
Google Scholar
Abstract
The aim of this work is to study the effect of intrinsic or thermodynamic fluctuations on spatially homogeneous systems of coupled chemical reactions exhibiting deterministic chaos. These fluctuations are taken into account by using a mesoscopic representation of the system in which the corresponding master equation is simulated through a Monte Carlo algorithm. The two models of chemical chaos studied in this work exhibit intrinsic-noise-induced transitions, one to a fixed point and the other to infinity. These examples illustrate the kind of dramatic effects that this type of noise may induce if the size of the system is small or moderate. It is shown that the effects of molecular fluctuations are qualitatively similar to the effect of external multiplicative noise, scaling as the square root of the number of particles. It is shown that it is possible to devise a simple model that captures the essence of the noise-induced transitions.