Semi-Analytical Calculation of the Rouse Dynamics of Randomly Branched Polymers
Statistical Mechanics
2009-10-31 v1
Abstract
We present a semi-analytical approach to the determination of the dynamic properties of randomly branched polymers under the Rouse approximation. The principle procedure is based on examining a spectrum of eigenvalues which represents the average dynamic behavior of various structures. The calculated spectra show that the eigenvalue distribution is random even within a single structure which in turn produces a continuous spectrum of values for the entire class. The auto-correlation functions for the radius of gyration squared were calculated based on these spectra, which confirms that the dynamics is non-exponential as earlier reported. A universal stretched exponent is also found in this study.
Keywords
Cite
@article{arxiv.cond-mat/9810108,
title = {Semi-Analytical Calculation of the Rouse Dynamics of Randomly Branched Polymers},
author = {Josh P. Kemp and Zheng Yu Chen},
journal= {arXiv preprint arXiv:cond-mat/9810108},
year = {2009}
}
Comments
5 pages, 8 figures, Submitted to Phys. Rev. E