Experimental Study of Wave Propagation in the Belousov-Zhabotinsky Reaction

Belousov-Zhabotinsky 反应中波传播的实验研究

• 批准号: 63540286
• 负责人: NAGASHIMA Hiroyuki
• 金额: $ 1.02万
• 依托单位: Shizuoka University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for General Scientific Research (C)
• 财政年份: 1988
• 资助国家: 日本
• 起止时间: 1988 至 1990
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-63540286/
• 关键词: Belousov-Zhabotinsky reaction; Reaction-diffusion system; Target pattern; Pacemaker; Wave propagation; 計算機シミュレ-ション; ファンデルポ-ル振動子; レスラ-モデル; Belousov-Zhabotinsky反応; 非平衡開放系; 散逸構造; 非線形力学; 非平衡解放系; カオス

Results are summarized as follows :1) an experimental method was developed to control wavelength of a target pattern by strength of the pacemaker. The mechanism of the control is qualitatively explained by a reduced equation from a general reaction-diffusion system. The phenomena can be reproduced by numerical computation by using the van der Pol equation.From the experimental point of view, it is remarkable to be able to control the wavelength of the target pattern in such a simple way.2) collapse of target patterns was observed. At first it was found by chance when a target pattern was forming.Since the collapse occurs very drastically and the whole pattern disappears in a few seconds, it is not certain whether the phenomena can be interpreted within the framework of the usual reaction-diffusion system or not.3) new types of waves are found numerically. One of the waves is so-called a 'measuring worm wave', whose wave surface does not move smoothly but discontinuously at regular intervals.4) finally we mention the numerical results of chaotic reaction-diffusion system. Target patterns are observed in a diffusion-coupled Rossler system when the frequency is lower than that of the outer medium. The pattern is confirmed to be stable when small perturbaitons are added to the system.

主要研究结果如下：1)提出了一种通过起搏器强度来控制目标模式波长的实验方法。用一般反应扩散系统的简化方程定性地解释了这种控制的机理。利用范德波尔方程可以通过数值计算再现这种现象。从实验的角度来看，能够如此简单地控制目标图案的波长是值得注意的。2)观察到目标图案的坍塌。最初它是在目标图案形成时偶然发现的，由于崩塌发生得非常剧烈，整个图案在几秒钟内消失，因此不确定是否能在通常的反应扩散系统的框架内解释这种现象。3)从数值上发现了新类型的波。其中一个波是所谓的测量蠕虫波，它的波面在规则的间隔内不是光滑的，而是不连续的。4)最后，我们给出了混沌反应扩散系统的数值结果。在扩散耦合的Rossler系统中，当频率低于外部介质的频率时，可以观察到目标图案。当在系统中加入小扰动时，图案是稳定的。

项目成果

Hiroyuki Nagashima: "Wave Propagation in Reaction-Diffusion Systems." Reports of Faculty of Liberal Arts, Shizuoka University, Sciences 26. (1990)

Hiroyuki Nagashima：“反应扩散系统中的波传播”。

Hiroyuki Nagashima: "Target Patterns and Pacemakers in the Belousov-Zhabotinsky Reaction."

Hiroyuki Nagashima：“别洛乌索夫-扎博廷斯基反应中的目标模式和起搏器”。

Yoshikazu,BABA: Progress of theoretical Physics. 3. (1989)

Yoshikazu，BABA：理论物理学进展。

Hiroyuki Nagashima: "Collapse of Target Patterns in the BelousovーZhabotinsky Reaction."

Hiroyuki Nagashima：“别洛乌索夫-扎博廷斯基反应中目标模式的崩溃。”

Hiroyuki Nagashima: "Computer Simulation of Target-Pattern Formation in a Chaotic Medium."

Hiroyuki Nagashima：“混沌介质中目标图案形成的计算机模拟”。