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

我们制备了涉及自主功能的活性元素，通过将催化剂钌（II）固定在微凝胶中用于Belousov-Zhabotinsky（BZ）反应。首先，我们通过改变控制参数，如BZ溶液的成分和温度，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，我们试图诱导一个新的自组织在可兴奋网络受到外部噪声。我们已经通过实验证明，噪声引起的放电的相干性得到改善，并且最大化相干性的最佳噪声幅度随着元件数量的增加而单调减小，即，阵列增强相干共振（AECR）的发生。此外，还发现几乎不耦合的振子之间的同步可以通过相干共振实现。在数值模拟中近似地再现了实验观测，采用强迫Oregonator反应-扩散模型，通过在自治网络系统中加入一个时滞为τ的反馈来控制系统的相干性，由于系统是光敏的，所以在反馈中采用了光学方法。我们研究了自发振荡的空间和时间相干性R和σ^2，它们是时间延迟τ和元素间耦合强度k的函数。我们已经证明了R和σ^2都随τ周期性地变化。此外，我们发现相干性强烈依赖于k，并且在特定的k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.