Percolation is often used as a model for critical behavior of the sol-gel transition. A three-dimensional kinetic model for gelation, similar to that of Manneville and de Seze, is investigated with a Monte Carlo method. By looking at the ratios of the critical amplitudes of the "susceptibility" (weight-average degree of polymerization) below and above the percolation threshold, clear evidence is found that this model is neither in the universality class of standard percolation nor in that of classical (Flory-Stockmayer) theory.
%0 Journal Article
%1 Herrmann1982New
%A Herrmann, H. J.
%A Landau, D. P.
%A Stauffer, D.
%D 1982
%I American Physical Society
%J Physical Review Letters
%K gels, universality critical-phenomena
%N 6
%P 412--415
%R 10.1103/physrevlett.49.412
%T New Universality Class for Kinetic Gelation
%U http://dx.doi.org/10.1103/physrevlett.49.412
%V 49
%X Percolation is often used as a model for critical behavior of the sol-gel transition. A three-dimensional kinetic model for gelation, similar to that of Manneville and de Seze, is investigated with a Monte Carlo method. By looking at the ratios of the critical amplitudes of the "susceptibility" (weight-average degree of polymerization) below and above the percolation threshold, clear evidence is found that this model is neither in the universality class of standard percolation nor in that of classical (Flory-Stockmayer) theory.
@article{Herrmann1982New,
abstract = {{Percolation is often used as a model for critical behavior of the sol-gel transition. A three-dimensional kinetic model for gelation, similar to that of Manneville and de Seze, is investigated with a Monte Carlo method. By looking at the ratios of the critical amplitudes of the "susceptibility" (weight-average degree of polymerization) below and above the percolation threshold, clear evidence is found that this model is neither in the universality class of standard percolation nor in that of classical (Flory-Stockmayer) theory.}},
added-at = {2019-06-10T14:53:09.000+0200},
author = {Herrmann, H. J. and Landau, D. P. and Stauffer, D.},
biburl = {https://www.bibsonomy.org/bibtex/2a524cdb6822cb78d88d47e018c9a6b52/nonancourt},
citeulike-article-id = {6822055},
citeulike-linkout-0 = {http://dx.doi.org/10.1103/physrevlett.49.412},
citeulike-linkout-1 = {http://link.aps.org/abstract/PRL/v49/i6/p412},
citeulike-linkout-2 = {http://link.aps.org/pdf/PRL/v49/i6/p412},
doi = {10.1103/physrevlett.49.412},
interhash = {f82a348600ce31b8e50d92bdb208374c},
intrahash = {a524cdb6822cb78d88d47e018c9a6b52},
journal = {Physical Review Letters},
keywords = {gels, universality critical-phenomena},
month = aug,
number = 6,
pages = {412--415},
posted-at = {2010-03-12 18:39:30},
priority = {2},
publisher = {American Physical Society},
timestamp = {2019-07-31T12:26:23.000+0200},
title = {{New Universality Class for Kinetic Gelation}},
url = {http://dx.doi.org/10.1103/physrevlett.49.412},
volume = 49,
year = 1982
}