论文标题
樟脑粒子的自发运动，带有三角形的修饰
Spontaneous motion of a camphor particle with a triangular modification from a circle
论文作者
论文摘要
研究了樟脑粒子的自发运动，并研究了一个圆圈的略微修饰。通过扰动方法检查形状对运动的影响。我们从一个圆圈中引入了轻微的$ n $ mmode修改，其中轮廓以$ r = r（1 +ε\ cosnθ）$描述。结果预测，从圆圈（即三角形修饰）从圆圈进行$ n = 3 $模式修饰的樟脑粒子将沿着小粒子的角向角移动，而它则以大粒子的方向移动。数值模拟结果很好地重现了理论预测。本研究将有助于了解粒子形状对自发运动的影响。
The spontaneous motion of a camphor particle with a slight modification from a circle is investigated. The effect of the shape on the motion is examined by the perturbation method. We introduce a slight $n$-mode modification from a circle, where the profile is described by $r = R(1 + ε\cos nθ)$ in polar coordinates. The results predict that a camphor particle with an $n=3$ mode modification from a circle, i.e., a triangular modification, moves in the direction of a corner for a small particle, while it moves in the direction of a side for a large particle. The numerical simulation results well reproduce the theoretical prediction. The present study will help understand the effect of the particle shape on spontaneous motion.
