Construction of a supramolecular network with active functions and its self-organization

通过在微凝胶中固定催化剂Ru(II)用于Belousov-Zhabotinsky(BZ)反应，制备了具有自主功能的活性元素。首先，我们通过改变控制参数，如BZ溶液的组成和温度，研究了元素的特性。为了研究层次化对自组织的影响，我们构建了一个基于10×10个这样的元素的二维网络。在这项研究中，我们试图在受外部噪声影响的可兴奋网络中诱导一种新的自组织。实验表明，随着阵元数目的增加，噪声激发的相干性得到改善，使相干性最大的最佳噪声幅度单调减小，即出现阵列增强相干性共振(AECR)。此外，还发现几乎没有耦合的振子之间的同步可以通过相干共振来实现。实验观测结果在Oregonator强制反应扩散模型下的数值模拟中被近似再现。我们通过在自治网络系统中添加一个带有时延τ的反馈来控制其相干性。这里，由于本系统是光敏的，所以在反馈中使用了光学方法。我们研究了自治振荡R和σ^2随时滞τ和元素间耦合强度k的时空相干性。我们证明了R和σ^2都随τ周期性地变化。此外，我们还发现相干性强烈地依赖于k，并且在k的特定范围内得到改善。

We have prepared active elements involved an autonomous function by immobilizing the catalyst ruthenium (II) for Belousov-Zhabotinsky (BZ) reaction in microgels. First we investigated the characteristic of elements by varying control parameters, such as the composition and the temperature of the BZ solution. In order to investigate the effect of hierarchization on self-organization, we have constructed a two-dimensional network based on 10×10 of such elements. In this study, we tried to induce a novel self-organization in the excitable network subjected to an external noise. We have experimentally demonstrated that the coherence of noise-induced firings is improved and the optimal noise amplitude maximizing the coherence monotonically decreases with increasing the number of elements, i.e., the occurrence of array-enhanced coherence resonance (AECR). Furthermore, it is found that synchronization among oscillators which are barely coupled can be achieved via coherence resonance. Experimental observations are approximately reproduced in a numerical simulation with a forced Oregonator reaction-diffusion model.We have controlled the coherence of the autonomous network system by adding a feedback with a time delay τ to it. Here the optical method has been used in a feedback, since the present system is light-sensitive. We have investigated the spatial and temporal coherence of the autonomous oscillation, R and σ^2, as a function of a time delay τ and the coupling strength between elements k. We have demonstrated that both R and σ^2 periodically vary with τ . Furthermore, we have found that the coherence strongly depends on k, and is improved in the particular range of k.