Gellation of rigid filament networks
Soft Condensed Matter
2007-05-23 v1 Materials Science
Abstract
We consider a model for gelation of rigid rods, in which rods that are initially placed at random undergo diffusion, and form cross-links when they collide. In the limit of point-like cross-links, the number N of croslinks per rod approaches N ~ 3.53. In a model with compliant cross-links of maximum length l_c, N(t) increases with time as N(t) ~ const. + cL^2 l_c ln(t), where c is concentration and L is rod length.
Cite
@article{arxiv.cond-mat/0703418,
title = {Gellation of rigid filament networks},
author = {B. A. DiDonna and D. C. Morse},
journal= {arXiv preprint arXiv:cond-mat/0703418},
year = {2007}
}
Comments
6 pages, 6 figures, Revtex, submitted to PRE