Bimodal probability density characterizes the elastic behavior of a semiflexible polymer in 2D under compression.,Soft Matter

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Bimodal probability density characterizes the elastic behavior of a semiflexible polymer in 2D under compression.
Soft Matter ( IF 2.9 ) Pub Date : 2018-03-22 00:00:00 , DOI: 10.1039/c8sm00366a
Christina Kurzthaler ₁ , Thomas Franosch ₁

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We explore the elastic behavior of a wormlike chain under compression in terms of exact solutions for the associated probability densities. Strikingly, the probability density for the end-to-end distance projected along the applied force exhibits a bimodal shape in the vicinity of the critical Euler buckling force of an elastic rod, reminiscent of the smeared discontinuous phase transition of a finite system. These two modes reflect the almost stretched and the S-shaped configuration of a clamped polymer induced by the compression. Moreover, we find a bimodal shape of the probability density for the transverse fluctuations of the free end of a cantilevered polymer as fingerprint of its semiflexibility. In contrast to clamped polymers, free polymers display a circularly symmetric probability density and their distributions are identical for compression and stretching forces.

中文翻译：

双峰概率密度表征了2D压缩下半柔性聚合物的弹性行为。

我们根据相关概率密度的精确解来探索蠕虫状链在压缩下的弹性行为。引人注目的是，沿作用力投影的端到端距离的概率密度在弹性杆的临界欧拉屈曲力附近表现出双峰形状，让人想起有限系统的拖尾不连续相变。这两种模式反映了由压缩引起的夹持聚合物几乎拉伸和S形的构型。此外，我们发现了悬臂聚合物自由端横向波动的概率密度的双峰形状，作为其半柔韧性的指纹。与夹紧的聚合物相比，

更新日期：2018-03-22

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