Bifurcations Caused by the Diffusion-Induced Noise

Details Bifurcations Caused by the Diffusion-Induced Noise Bifurcations Caused by the Diffusion-Induced Noise

2003-09-11

arxiv.org/abs/cond-mat/0309272v2

Physics

Condensed Matter

Statistical Mechanics

13 pages, 6 figures

Scientific paper

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.

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