Next Article in Journal
Prudent Self-Avoiding Walks
Next Article in Special Issue
On the Structural Non-identifiability of Flexible Branched Polymers
Previous Article in Journal
Residual Entropy, the Third Law and Latent Heat
Open AccessArticle

Conformational Entropy of an Ideal Cross-Linking Polymer Chain

1
Department of Physics and Optical Science, University of North Carolina at Charlotte, USA
2
Department of Computer Science and Bioinformatics Research Center, University of North Carolina at Charlotte, USA
*
Author to whom correspondence should be addressed.
Entropy 2008, 10(3), 285-308; https://doi.org/10.3390/e10030285
Received: 8 August 2008 / Revised: 10 September 2008 / Accepted: 19 September 2008 / Published: 20 September 2008
(This article belongs to the Special Issue Entropies of Polymers)
We present a novel analytical method to calculate conformational entropy of ideal cross-linking polymers from the configuration integral by employing a Mayer series expansion. Mayer-functions describing chemical bonds within the chain and for cross-links are sharply peaked over the temperature range of interest, and, are well approximated as statistically weighted Dirac delta-functions that enforce distance constraints. All geometrical deformations consistent with a set of distance constraints are integrated over. Exact results for a contiguous series of connected loops are employed to substantiate the validity of a previous phenomenological distance constraint model that describes protein thermodynamics successfully based on network rigidity. View Full-Text
Keywords: Conformational entropy; Mayer expansion; distance constraints; cross-linking; hydrogen bonds; network rigidity; protein stability Conformational entropy; Mayer expansion; distance constraints; cross-linking; hydrogen bonds; network rigidity; protein stability
Show Figures

Figure 1

MDPI and ACS Style

Vorov, O.K.; Livesay, D.R.; Jacobs, D.J. Conformational Entropy of an Ideal Cross-Linking Polymer Chain. Entropy 2008, 10, 285-308.

Show more citation formats Show less citations formats

Article Access Map by Country/Region

1
Only visits after 24 November 2015 are recorded.
Back to TopTop