Preprint Article Version 1 This version is not peer-reviewed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)

How to cite: Wang, J.; Li, K. Statistical Behaviours of Semiflexible Polymer Chains Stretched in Rectangular Tubes. Preprints 2018, 2018120040 (doi: 10.20944/preprints201812.0040.v1). Wang, J.; Li, K. Statistical Behaviours of Semiflexible Polymer Chains Stretched in Rectangular Tubes. Preprints 2018, 2018120040 (doi: 10.20944/preprints201812.0040.v1).

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.

Subject Areas

wormlike chain model; rectangular tube confinement; slit confinement; Odijk length; stretch; GBR model; Brownian dynamics simulation

Readers' Comments and Ratings (0)

Leave a public comment
Send a private comment to the author(s)
Rate this article
Views 0
Downloads 0
Comments 0
Metrics 0
Leave a public comment

×
Alerts
Notify me about updates to this article or when a peer-reviewed version is published.