论文标题

扭曲聚会气球的相图和快照过渡

Phase Diagram and Snap-Off Transition for a Twisted Party Balloon

论文作者

Cheng, Yu-Chuan, Hsieh, Ting-Heng, Tsai, Jih-Chiang, Hong, Tzay-Ming

论文摘要

所有孩子都喜欢充气气球,并将它们扭曲成不同的形状和动物。将气球捕集到两个单独的隔室是一个必要的步骤,它与从水龙头脱离的水滴相似。除了测试气球是否表现出通常与后一个事件相关的自相似性和记忆效应的特性,我们还通过实验确定它们的相图。事实证明,普通聚会的气球不仅仅是抢购。实际上,根据其长度和直径的扭曲角度和比例,他们可以假设五个形状,即直,颈部,皱纹,螺旋和超圈。此外,历史由于其突出的滞后而至关重要。一个人可能会以不同的扭曲角度和初始长度拉开或延长气球,从而改变相边界或/和/和/和/和/和/和/和/和/和/和/和/和/和/和/and和/和/和/and和/和/和/and的重新封面。提供启发式模型以获得相位边界的分析表达式。

All children enjoy inflating balloons and twisting them into different shapes and animals. Snapping the balloon into two separate compartments is a necessary step that bears resemblance to the pinch-off phenomenon for water droplet detached from the faucet. In addition to testing whether balloons exhibit the properties of self-similarity and memory effect that are often associated with the latter event, we determine their phase diagram by experiments. It turns out that a common party balloon does not just snap. They in fact can assume five more shapes, i.e., straight, necking, wrinkled, helix, and supercoil, depending on the twist angle and ratio of its length and diameter. Moreover, history also matters due to their prominent hysteresis. One may shift the phase boundary or/and reshuffle the phases by untwisting or lengthening the balloon at different twist angle and initial length. Heuristic models are provided to obtain analytic expressions for the phase boundaries.

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