Andrew F. Rushton, Fereydoon Family, Hans J. Herrmann
{"title":"Gelation by additive polymerization in two dimensions","authors":"Andrew F. Rushton, Fereydoon Family, Hans J. Herrmann","doi":"10.1002/polc.5070730105","DOIUrl":null,"url":null,"abstract":"<p>Kinetics of gelation by additive polymerization on a two-dimensional lattice were investigated with a Monte Carlo simulation. We have determined the critical component γ and the ratio <i>R</i> of the critical amplitudes of the weight-average degree of polymerization (“susceptibility”) to be γ = 3.8 ± 0.5 and <i>R</i> = 140 ± 45. These results show that this model is neither in the universality class of standard percolation (γ ± 43/18 ± 2.38; <i>R</i> = 219 ± 25) nor the Flory-Stockmayer model (γ = 1, <i>R</i> = 1).</p>","PeriodicalId":16867,"journal":{"name":"Journal of Polymer Science: Polymer Symposia","volume":"73 1","pages":"1-5"},"PeriodicalIF":0.0000,"publicationDate":"1985-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1002/polc.5070730105","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Polymer Science: Polymer Symposia","FirstCategoryId":"1085","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1002/polc.5070730105","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
Kinetics of gelation by additive polymerization on a two-dimensional lattice were investigated with a Monte Carlo simulation. We have determined the critical component γ and the ratio R of the critical amplitudes of the weight-average degree of polymerization (“susceptibility”) to be γ = 3.8 ± 0.5 and R = 140 ± 45. These results show that this model is neither in the universality class of standard percolation (γ ± 43/18 ± 2.38; R = 219 ± 25) nor the Flory-Stockmayer model (γ = 1, R = 1).
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