Statistical Mechanics of Developable Ribbons
Statistical Mechanics of Developable Ribbons
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DOI：
10.1103/physrevlett.104.238104
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发表时间：
2010-06-11
影响因子：
8.6
通讯作者：
Mahadevan, L.
中科院分区：
文献类型：
--
作者：
Giomi, L.;Mahadevan, L.
我们研究有限宽度和非常小厚度的长可展带的统计力学。在这些带状结构中，由尺度的几何分离引起的等距变形的约束引入了弯曲和扭转自由度之间的耦合。使用分析技术和Monte Carlo模拟，我们发现，切线-切线相关函数总是表现出振荡衰减在任何有限的温度意味着存在一个潜在的螺旋结构，即使在没有一个优先的零温度扭曲。此外，持久长度被发现是3倍以上的蠕虫状链具有相同的弯曲刚度。我们的结果适用于许多带状物体在聚合物物理和纳米科学，不能描述的经典蠕虫链模型。
We investigate the statistical mechanics of long developable ribbons of finite width and very small thickness. The constraint of isometric deformations in these ribbonlike structures that follows from the geometric separation of scales introduces a coupling between bending and torsional degrees of freedom. Using analytical techniques and Monte Carlo simulations, we find that the tangent-tangent correlation functions always exhibit an oscillatory decay at any finite temperature implying the existence of an underlying helical structure even in the absence of a preferential zero-temperature twist. In addition, the persistence length is found to be over 3 times larger than that of a wormlike chain having the same bending rigidity. Our results are applicable to many ribbonlike objects in polymer physics and nano-science that cannot be described by the classical wormlike chain model.