Samuel Joseph, Sinha Supurna
Raman Research Institute, Bangalore 560080, India.
Phys Rev Lett. 2003 Mar 7;90(9):098305. doi: 10.1103/PhysRevLett.90.098305. Epub 2003 Mar 6.
We present a method for solving the wormlike-chain (WLC) model for twisting semiflexible polymers to any desired accuracy. We show that the WLC free energy is a periodic function of the applied twist with period 4pi. We develop an analogy between WLC elasticity and the geometric phase of a spin-1 / 2 system. These analogies are used to predict elastic properties of twist-storing polymers. We graphically display the elastic response of a single molecule to an applied torque. This study is relevant to mechanical properties of biopolymers such as DNA.
我们提出了一种方法，可将扭曲的半柔性聚合物的蠕虫状链（WLC）模型求解到任何所需的精度。我们表明，WLC自由能是施加扭转的周期函数，周期为4π。我们建立了WLC弹性与自旋1/2系统的几何相位之间的类比。这些类比用于预测扭转存储聚合物的弹性特性。我们以图形方式展示了单个分子对施加扭矩的弹性响应。这项研究与DNA等生物聚合物的机械性能相关。
