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Study of Self-Organization Phenomena in the System Consisting of Activity-Doped Elements

活性掺杂元素体系中自组织现象的研究

基本信息

批准号：
07832022
负责人：
MIYAKAWA Kenji
金额：
$ 1.41万
依托单位：
Fukuoka University
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (C)
财政年份：
1995
资助国家：
日本
起止时间：
1995 至 1996
项目状态：
已结题

来源：
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-07832022/
关键词：
nonlinear non-equilibrium chemical oscillator supramolecule 非平衡自己組織化 BZ反応

项目摘要

The discrete chemical oscillator has been obtained by localizing the BZ reaction on the surface of the cation exchange beads. This can be regarded as one of the non-equilibrium system consisting of activity-doped elements.These coupled oscillators are peculiar compared with those of CSTR.Entrained states of 1 : n or n : 1 are very stable. In particular, the transition between 1 : 1 and 1 : 2 (or 2 : 1) was necessarily accompanied by an irregular oscillation. This irregular behavior was found to be chaotic by checking the power spectrum, the three dimensional reconstructed attractor, and the largest Lyapunov exponent. In the case of three coupled oscillators, both clockwise and counterclockwise rotation modes were observed, and furthermore the transition between those modes was also observed. It is considered that the appearance of the rotation mode is due to the compensation effect for a frustration as found in the coupled Ising spin system.Various self-organization phenomena were induced by electric fields. Sensitive responses to electric fields result from that most of chemical species relevant to the wave propagation are ionic. The phase diagram concerning responses of the oscillator was obtained as a function of the frequency and the strength of the electric field ; (1) entrained states of 1/1,1/2 and 2/1 is dominant in the whole diagram, (2) for a low electric field, the boundary regions between these region are occupied by carious harmonic state following the Farey's tree and the quasiperiodic oscillation, (3) the transition from 1/1 to 2/1 or 1/2 entrainments must necessarily occur crossing a chaotic state, (4) the features of the phase diagram well resemble those of the biological cells. Effects of electric fields on the chemical oscillator were explained by a voltage-dependent spatial distribution of Br.

通过将 BZ 反应定位在阳离子交换珠表面，获得了离散化学振荡器。这可以被视为由活性掺杂元素组成的非平衡系统之一。这些耦合振荡器与CSTR的耦合振荡器相比是奇特的。1:n或n:1的夹带态非常稳定。特别是，1:1 和 1:2（或 2:1）之间的转变必然伴随着不规则的振荡。通过检查功率谱、三维重建吸引子和最大李亚普诺夫指数，发现这种不规则行为是混乱的。在三个耦合振荡器的情况下，观察到顺时针和逆时针旋转模式，此外还观察到这些模式之间的转变。认为旋转模式的出现是由于耦合伊辛自旋系统中的挫败补偿效应所致。电场诱发了各种自组织现象。对电场的敏感响应是由于与波传播相关的大多数化学物质都是离子的。获得了有关振荡器响应的相位图作为频率和电场强度的函数； (1) 1/1、1/2 和 2/1 夹带态在整个图中占主导地位，(2) 对于低电场，这些区域之间的边界区域被遵循费里树和准周期振荡的龋谐态占据，(3) 从 1/1 到 2/1 或 1/2 夹带态的转变必然发生在穿过混沌态时，(4) 相图的特征非常相似那些生物细胞。电场对化学振荡器的影响可以通过电压相关的 Br 空间分布来解释。