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

通过在微凝胶中固定化催化剂钌（II）制备了具有自主功能的活性元素，用于Belousov-Zhabotinsky （BZ）反应。首先，我们通过改变控制参数（如BZ溶液的组成和温度）来研究元素的特性。为了研究层级化对自组织的影响，我们基于10×10构建了一个由这些元素组成的二维网络。在本研究中，我们试图在受外界噪声影响的可兴奋网络中诱导一种新的自组织。我们通过实验证明，噪声诱导发射的相干性得到了改善，相干性最大化的最佳噪声幅值随着元件数量的增加而单调降低，即阵列增强相干共振（AECR）的发生。此外，我们还发现，几乎不耦合的振子之间的同步可以通过相干共振来实现。用强迫Oregonator反应扩散模型的数值模拟近似地再现了实验结果。我们通过在自治网络系统中加入一个具有时滞τ的反馈来控制其相干性。这里的光学方法已用于反馈，因为目前的系统是光敏的。我们研究了自主振荡R和σ^2的空间和时间相干性，作为时间延迟τ和元素k之间耦合强度的函数。我们已经证明R和σ^2都周期性地随τ变化。此外，我们发现相干性强烈依赖于k，并在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.