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.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
More From: Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.