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. https://resolver.caltech.edu/CaltechAUTHORS:20170426-132616212
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Abstract
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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| 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 | |||||||||
| DOI: | 10.1021/ma049958v | |||||||||
| Record Number: | CaltechAUTHORS:20170426-132616212 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20170426-132616212 | |||||||||
| 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 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Tony Diaz | |||||||||
| Deposited On: | 26 Apr 2017 20:47 | |||||||||
| Last Modified: | 15 Nov 2021 17:04 |
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