Analytical expression for end-to-end- auto correlation function of a long chain polymer molecule in solution
Soft Condensed Matter
2018-02-28 v1
Abstract
A diffusion-like theory for real time end-to-end distance of a long polymer chain in dilute solution is formulated. We give a detailed analytical expression for the end-to-end distance auto-correlation function of a long chain polymer in solution. The physical problem of dynamics of end-to-end distance can be modeled mathematically with the use of a Smoluchowski-like equation. Using this equation analytical expression for end-to-end distance auto-correlation function is derived. We find that this auto-correlation function varies with several parameters such as length of the polymer (N), bond length (b) and the relaxation time .
Cite
@article{arxiv.1802.09927,
title = {Analytical expression for end-to-end- auto correlation function of a long chain polymer molecule in solution},
author = {Moumita Ganguly and Aniruddha Chakraborty},
journal= {arXiv preprint arXiv:1802.09927},
year = {2018}
}