Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
2008-05-20
Physical Review E (2006)
Physics
Condensed Matter
Soft Condensed Matter
4 pages, 4 figures
Scientific paper
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.
Yao Zhenwei
Zhang Lianchang
Zhang Shengli
Zhao Shumin
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