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Exact Results for a Semiflexible Polymer Chain in an Aligning Field

Spakowitz, Andrew J. and Wang, Zhen-Gang (2004) Exact Results for a Semiflexible Polymer Chain in an Aligning Field. Macromolecules, 37 (15). pp. 5814-5823. ISSN 0024-9297. doi:10.1021/ma049958v.

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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.

Item Type:Article
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Spakowitz, Andrew J.0000-0002-0585-1942
Wang, Zhen-Gang0000-0002-3361-6114
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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Issue or Number:15
Record Number:CaltechAUTHORS:20170426-132616212
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Official Citation:Exact Results for a Semiflexible Polymer Chain in an Aligning Field Andrew J. Spakowitz and Zhen-Gang Wang Macromolecules 2004 37 (15), 5814-5823 DOI: 10.1021/ma049958v
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:76954
Deposited By: Tony Diaz
Deposited On:26 Apr 2017 20:47
Last Modified:15 Nov 2021 17:04

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