| Budget Amount *help |
¥2,600,000 (Direct Cost: ¥2,600,000)
Fiscal Year 2000: ¥1,200,000 (Direct Cost: ¥1,200,000)
Fiscal Year 1999: ¥1,400,000 (Direct Cost: ¥1,400,000)
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| Research Abstract |
Study on the origin and properties of spontaneous spatio-temporal disorder arising in nonequilibrium dissipative media, namely spatio-temporal Chaos, is one of the most fundamental problems in nonlinear science. Chemical turbulence, i.e. spatio-temporal chaos in reaction-diffusion systems is particularly important, because this type of dissipative media is ideal in the sense that they can be viewed as large assemblies of identical nonlinear dynamical elements coupled locally with each other. As a universal type of chemical turbulence, "phase turbulence" is well known, and there are also many studies on how this type of turbulence change into stronger turbulence such as amplitude turbulence and defect turbulence.
This project focuses on a completely new type of chemical turbulence discovered recently by the head invesigator of the project. The chemical turbulence here is characterized by various scaling properties similar to (but different in some essential points from) developed fluid turbulence and self-organized criticality, and remains robust against different kinds of perturbations. The main results of the present project may be summarized as follows.
(1) The above-stated anomalous type of turbulence was established in some reaction-diffusion models.
(2) Its striking features, that is, various scaling properties and loss of spatial continuity of the pattern, were theoretically explained.
(3) A theoretical formulation was developed for explaining self-similar spatial intermittency seen in the differential field of the amplitude, and considerable success has been achieved.
(4) This type of turbulece was found surprisingly universal beyond reaction-diffusion dynamics. The crucial mechanism for its appearance was found to be effective nonlocality in coupling.
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