Exact results for a semiflexible polymer chain in an aligning field

被引:74
|
作者
Spakowitz, AJ [1 ]
Wang, ZG [1 ]
机构
[1] CALTECH, Div Chem & Chem Engn, Pasadena, CA 91125 USA
关键词
D O I
10.1021/ma049958v
中图分类号
O63 [高分子化学(高聚物)];
学科分类号
070305 ; 080501 ; 081704 ;
摘要
We provide exact results for the Laplace-transformed partition function of a wormlike chain subject to a tensile force and in a nematic field, in both two and three dimensions. The results are in the form of infinite continued fractions, which are obtained by exploiting the hierarchical structure of a moment-based expansion of the partition function. The case of an imaginary force corresponds to the end-to-end distance distribution in Laplace - Fourier space. We illustrate the utility of these exact results by examining the structure factor of a wormlike chain, the deformation free energy of a chain in a nematic field, and the self-consistent-field solution for the isotropic - nematic transition of wormlike chains.
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页码:5814 / 5823
页数:10
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