Exact Statistics of Helical Wormlike Chains with Twist-Bend Coupling
Abstract
We present a solution for the Green's function for the general case of a helical wormlike chain with twist-bend coupling, and demonstrate the applicability of our solution for evaluating general structural and mechanical chain properties. We find that twist-bend coupling renormalizes the persistence length and the force-extension curves relative to worm-like chains. Analysis of intrinsically twisted polymers shows that incorporation of twist-bend coupling results in the oscillatory behavior in principal tangent correlations that are observed in some studies of synthetic polymers. The exact nature of our solution provides a framework to evaluate the role of twist-bend coupling on polymer properties and motivates the reinterpretation of existing bio-polymer experimental data.
Keywords
Cite
@article{arxiv.2408.08954,
title = {Exact Statistics of Helical Wormlike Chains with Twist-Bend Coupling},
author = {Ashesh Ghosh and Kranthi K. Mandadapu and David T. Limmer},
journal= {arXiv preprint arXiv:2408.08954},
year = {2024}
}
Comments
5 pages, 3 figures, Supplementary material (38 pages, 16 figures) available