Equilibrium conformation of polymer chains with noncircular cross section.

Equilibrium conformation of polymer chains with noncircular cross section.
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DOI:
10.1103/physreve.74.032801
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发表时间:
2006-09
期刊:
Physical review. E, Statistical, nonlinear, and soft matter physics
影响因子:
--
通讯作者:
Shumin Zhao;S. Zhang;Zhenwei Yao;Lei Zhang
Shumin Zhao;S. Zhang;Zhenwei Yao;Lei Zhang
中科院分区:
其他
文献类型:
--
作者:
Shumin Zhao;S. Zhang;Zhenwei Yao;Lei Zhang

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In this paper we derive the general equilibrium equations of a polymer chain with a noncircular cross section by the variation of the free energy functional. From the equilibrium equation of the elastic ribbon we derive analytically the equilibrium conformations both of the helical ribbons and the twisted ribbons. We find that the pitch angle of the helical ribbons depends on the ratio of the torsional rigidity to the bending one. For the twisted ribbons, the rotation rate depends on the spontaneous torsion, which is determined by the elastic properties of the polymers. Our results for helical and twisted ribbons strongly indicate that the formation of these structures is determined by their elastic properties.