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Epidemic models for phase transitions: application to a physical gel

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Date
2017
Author
Bilge, Ayşe Hümeyra
Pekcan, Önder
Kara, Selim
Öǧrenci, Arif Selçuk
Abstract
Carrageenan gels are characterized by reversible sol-gel and gel-sol transitions under cooling and heating processes and these transitions are approximated by generalized logistic growth curves. We express the transitions of carrageenan-water system as a representative of reversible physical gels in terms of a modified Susceptible-Infected-Susceptible epidemic model as opposed to the Susceptible-Infected-Removed model used to represent the (irreversible) chemical gel formation in the previous work. We locate the gel point T-c of sol-gel and gel-sol transitions and we find that for the sol-gel transition (cooling) T-c > T-sg (transition temperature) i.e. T-c is earlier in time for all carrageenan contents and moves forward in time and gets closer to T-sg as the carrageenan content increases. For the gel-sol transition (heating) T-c is relatively closer to T-gs
 
it is greater than T-gs i.e. later in time for low carrageenan contents and moves backward as carrageenan content increases.
 

Source

Phase Transitions

Issue

9

Volume

90

Pages

905-913

URI

https://hdl.handle.net/20.500.12469/390
https://doi.org/10.1080/01411594.2017.1286487

Collections

  • Araştırma Çıktıları / Scopus [1565]
  • Araştırma Çıktıları / WOS [1518]
  • Biyoinformatik ve Genetik / Bioinformatics and Genetics [220]
  • Elektrik-Elektronik Mühendisliği / Electrical - Electronics Engineering [321]
  • Endüstri Mühendisliği / Industrial Engineering [131]

Keywords

Sol-gel
Gel-sol transitions
Carrageenan
Generalized logistic curve
Gel point

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DSpace software copyright © 2002-2015  DuraSpace
Contact Us | Send Feedback
Theme by 
@mire NV