Semi-classical buckling of stiff polymers
Soft Condensed Matter
2016-08-14 v2
Abstract
A quantitative theory of the buckling of a worm like chain based on a semi-classical approximation of the partition function is presented. The contribution of thermal fluctuations to the force-extension relation that allows to go beyond the classical Euler buckling is derived in the linear and non-linear regime as well. It is shown that the thermal fluctuations in the nonlinear buckling regime increase the end-to-end distance of the semiflexible rod if it is confined to 2 dimensions as opposed to the 3 dimensional case. Our approach allows a complete physical understanding of buckling in D=2 and in D=3 below and above the Euler transition.
Cite
@article{arxiv.0704.2138,
title = {Semi-classical buckling of stiff polymers},
author = {Marc Emanuel and Hervé Mohrbach and Mehmet Sayar and Helmut Schiessel and Igor M. Kulić},
journal= {arXiv preprint arXiv:0704.2138},
year = {2016}
}