Two Simple Approaches to Sol-Gel Transition
Statistical Mechanics
2015-06-24 v1
Abstract
We represent a theory of polymer gelation as an analogue of liquid-glass transition in which elastic fields of stress and strain shear components appear spontaneously as a consequence of the cross-linking of macromolecules. This circumstance is explained on the basis of obvious combinatoric arguments as well as a synergetic Lorenz system, where the strain acts as an order parameter, a conjugate field is reduced to the elastic stress, and the number of cross-links is a control parameter. Both the combinatoric and synergetic approaches show that an anomalous slow dependence of the shear modulus on the number of cross-links is obtained.
Cite
@article{arxiv.cond-mat/0008161,
title = {Two Simple Approaches to Sol-Gel Transition},
author = {Alexander I. Olemskoi and Ivan Krakovsky},
journal= {arXiv preprint arXiv:cond-mat/0008161},
year = {2015}
}
Comments
10 pages, LaTeX