Thermal Fluctuations of Elastic Ring
Soft Condensed Matter
2007-05-23 v1 Statistical Mechanics
Abstract
We study the effects of thermal fluctuations on a small elastic ring. We derive analytical expressions for the correlation functions of the Euler angles, for the real space two--point correlation functions and for the probability distribution of writhe, as a function of the persistence lengths that determine the rigidity with respect to bending and twist. Fluctuation amplitudes diverge in the limit of vanishing twist rigidity. There is crossover from a small scale regime in which twist and writhe modes are uncoupled, to a large scale regime in which twist affects the spatial configurations of the ring.
Cite
@article{arxiv.cond-mat/0010488,
title = {Thermal Fluctuations of Elastic Ring},
author = {Y. Rabin and S. Panyukov},
journal= {arXiv preprint arXiv:cond-mat/0010488},
year = {2007}
}