Shape of a ponytail and the statistical physics of hair fiber bundles.
Shape of a ponytail and the statistical physics of hair fiber bundles.
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DOI：
10.1103/physrevlett.108.078101
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发表时间：
2012-02
影响因子：
8.6
通讯作者：
R. Goldstein;P. B. Warren;R. Ball
中科院分区：
文献类型：
--
作者：
R. Goldstein;P. B. Warren;R. Ball
一个一般的连续体理论的头发在一束中的分布，治疗个别纤维的弹性长丝随机固有曲率。应用这种形式主义的马尾辫的图标问题，弯曲弹性，重力和取向无序的组合效应被改写为一个微分方程的包的束，其中的压缩性进入通过一个“状态方程。“由此，我们确定了马尾辫各个区域的力的平衡，从人类马尾辫的实验室测量中提取了一个非常简单的状态方程，并将压力与测量到的单个头发的随机曲率联系起来。
A general continuum theory for the distribution of hairs in a bundle is developed, treating individual fibers as elastic filaments with random intrinsic curvatures. Applying this formalism to the iconic problem of the ponytail, the combined effects of bending elasticity, gravity, and orientational disorder are recast as a differential equation for the envelope of the bundle, in which the compressibility enters through an "equation of state." From this, we identify the balance of forces in various regions of the ponytail, extract a remarkably simple equation of state from laboratory measurements of human ponytails, and relate the pressure to the measured random curvatures of individual hairs.