A mathematical characterization of the gel point in sol-gel transition
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Date
2015
Authors
Journal Title
Journal ISSN
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Publisher
IOP Publishing Ltd
Abstract
We model the sol-gel transition in terms of Susceptible-Infected-Removed (SIR) and Susceptible-Exposed-Infected-Removed (SEIR) models and compare with experimental results. We show, numerically, that the "gel point" described as the onset of the gelation phenomena and measured experimentally, corresponds to an accumulation point of the extreme values of the derivatives of the gelation curve. We define the "critical point of a sigmoidal curve" as the limit of the points where the derivatives reach their extreme values, provided that this limit exists.
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Keywords
Molecular-Size Distribution, Polymers, Gelation
Turkish CoHE Thesis Center URL
Citation
3
WoS Q
N/A
Scopus Q
N/A
Source
Volume
574