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Published July 27, 2004 | public
Journal Article

Exact Results for a Semiflexible Polymer Chain in an Aligning Field


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.

Additional Information

© 2004 American Chemical Society. Received January 5, 2004; Revised Manuscript Received April 23, 2004. Publication Date (Web): June 22, 2004. This work was supported in part by the National Science Foundation (DMR-9970589).

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