唧唧堂编辑二朵2014-01-23 10:35 PM

The Shape of a Ponytail and the Statistical Physics of Hair Fiber Bundles 马尾辫形状和发纤维束的统计物理学

Abstract 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. 论文摘要 已有对马尾辫分布的一般连续理论产生,该理论将每根发纤维作为具有随机固有曲率的弹性纤维对待。将该理论运用到有关马尾辫标志性问题的话,则弯曲弹性,重力和取向无序所形成的联合作用将被重塑为有关纤维束包络的微分方程,在该方程中,压缩系数可通过“状态方程”输入。我们据此确定了马尾辫不同区域力的平衡,并从中提取了实验测量条件下有关人类马尾辫的极简状态方程,此外还建立了压力与所测每根头发的随机曲率间的联系。

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