Article
Version 1
Preserved in Portico This version is not peer-reviewed
Statistical Behaviours of Semiflexible Polymer Chains Stretched in Rectangular Tubes
Version 1
: Received: 1 December 2018 / Approved: 4 December 2018 / Online: 4 December 2018 (03:00:51 CET)
A peer-reviewed article of this Preprint also exists.
Wang, J.; Li, K. Statistical Behaviors of Semiflexible Polymer Chains Stretched in Rectangular Tubes. Polymers 2019, 11, 260. Wang, J.; Li, K. Statistical Behaviors of Semiflexible Polymer Chains Stretched in Rectangular Tubes. Polymers 2019, 11, 260.
Abstract
We quantitatively investigated the statistical behaviors of semiflexible polymer chains, which are simultaneously subjected to force stretching and rectangular tube confinement. Based on the wormlike chain model and Odijk deflection theory, we derived a new deflection length, by which new compact formulas are obtained for the confinement free energy and force-confinement-extension relation. These newly derived formulas have been justified by numerical solutions of an eigenvalue problem associated with the Fokker-Planck governing equation and extensive Brownian dynamics simulations based on the so-called Generalized Bead-Rod (GBR) model. We found that, comparing to the classical deflection theory, these new formulas are valid for a much extended range of the confinement-size /persistence-length ratio, and have no adjustable fitting parameters for sufficient long semiflexible chains in the whole deflection regime.
Keywords
wormlike chain model; rectangular tube confinement; slit confinement; Odijk length; stretch; GBR model; Brownian dynamics simulation
Subject
Chemistry and Materials Science, Polymers and Plastics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Comments (0)
We encourage comments and feedback from a broad range of readers. See criteria for comments and our Diversity statement.
Leave a public commentSend a private comment to the author(s)
* All users must log in before leaving a comment
