对“可展带的统计力学”一文评论的答复
Reply to Comment on "Statistical mechanics of developable ribbons"
摘要：
Starostin和van der Heijden [arXiv：1111.2029]质疑我们的信[Phys. Rev. Lett. 104，238104（2010）]关于在有限温度可发展带中存在自发螺旋结构。根据该评论的作者，我们的设置受到扭矩τ计算中的系统误差的影响，该系统误差导致蒙特卡罗采样偏向螺旋构型，并且源于我们用来描述带中心线的Frenet标架，每次遇到拐点（即曲率κ改变符号的点）时，围绕切向量的方向旋转180^{ \circ }。虽然在感染点的框架的旋转是一个众所周知的性质的Frenet框架，Starostin和范德海登的结论，这种现象将如何影响蒙特卡罗抽样是不正确的，因为是许多其他声明，他们作出。
英文摘要：
Starostin and van der Heijden [arXiv:1111.2029] question the validity of the results reported in our Letter [Phys. Rev. Lett. 104, 238104 (2010)] regarding the existence of spontaneous helical structure in finite-temperature developable ribbons. According to the authors of the Comment, our setting is affected by a systematic error in the calculation of the torsion τ that results in a bias of the Monte Carlo sampling toward helical configurations, and originates from the fact that the Frenet frame, used by us to describe the centerline of the ribbons, rotates by 180^{\circ} about the direction of the tangent vector every time an inflection point (i.e. a point where the curvature κ changes in sign) is encountered. While the rotation of the frame at infection points is a well known property of Frenet frame, the conclusions of Starostin and van der Heijden on how this phenomenon would affect the Monte Carlo sampling are incorrect, as are many of the other statements that they make.
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