Synchronized sailing of two camphor boats in polygonal chambers
Synchronized sailing of two camphor boats in polygonal chambers
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DOI：
10.1021/jp0480605
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发表时间：
2005-02-10
影响因子：
3.3
通讯作者：
Kitahata, H
中科院分区：
文献类型：
--
作者：
Nakata, S;Doi, Y;Kitahata, H
研究了两条樟脑船在多边形水槽上的同步自运动。根据多边形中角点的数量，通过改变两艘船之间的距离来同步移动两艘船。我们把樟脑船的自运动看作是一个振荡器;即，多边形室上的一个周期对应于2 π。在三角形腔室中观察到相位差为2 π/3的锁相同步，相位差对应于腔室的一侧的长度。在正方形腔中观察到相位差分别为π/2和π的两种同步运动，相位差分别对应于腔的一侧和两侧的长度。这些同步自运动的特征定性再现的数值计算，把表面张力作为驱动力和在室中的角的数量作为一个速度调节机制。我们相信，目前的系统可能是一个简单的同步模型，这取决于系统的几何形状。
The synchronized self-motion of two camphor boats on polygonal water chambers was investigated. The two boats synchronously moved depending on the number of corners in the polygon by changing the distance between the two boats through the corners. We regard the self-motion of a camphor boat as an oscillator; i.e., one cycle on the polygonal chamber corresponds to 2pi. Phase-locked synchronization at a phase difference of 2pi/3, which corresponds to the length of one side of the chamber, was observed with a triangular chamber. Two types of synchronized motion at phase differences of pi/2 and pi, which correspond to the length of one and two sides of the chamber, respectively, were observed with a square chamber. These characteristic features of synchronized self-motion were qualitatively reproduced by a numerical calculation that regarded the surface tension as the driving force and the number of corners in the chamber as a velocity-regulating mechanism. We believe that the present system may be a simple model of synchronization which depends on the geometry of the system.