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The Schouten et al. model applied to polymer mixture solutions

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  • Gençaslan, Mustafa
  • Keskin, Mustafa
  • Meijer, Paul H.E.

Abstract

The lattice-gas model of Schouten, ten Seldam and Trappeniers is extended to mixtures of polymers. This model allows for three options on each lattice site: a molecule of type one, a molecule of type two or a hole. It describes a binary gas-liquid system in the molecular-field approximation. Following Flory, the chain length r is introduced as additional parameter in order to express the fact that the molecules occupy several lattice sites. In this paper we introduce two Flory chain length parameters (leading to the model of Tompa) in order to describe polymer mixtures in the presence of their vapor phase. The model can also be applied to a ternary mixture consisting of two polymers in a common solvent.

Suggested Citation

  • Gençaslan, Mustafa & Keskin, Mustafa & Meijer, Paul H.E., 1995. "The Schouten et al. model applied to polymer mixture solutions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 216(4), pages 397-406.
  • Handle: RePEc:eee:phsmap:v:216:y:1995:i:4:p:397-406
    DOI: 10.1016/0378-4371(95)00011-U
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    References listed on IDEAS

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    1. Meijer, Paul H.E. & Pegg, Ian L., 1991. "Structure of the critical lines for the lattice gas model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 174(2), pages 391-405.
    2. Wieringa, N. F. & de Meijer, A. H. R. & Schutjens, M. D. B. & Vos, R., 1992. "The gap between legal rules and practice in advertising non-registered pharmaceutical products : A new method of analysis," Social Science & Medicine, Elsevier, vol. 35(12), pages 1497-1504, December.
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    Cited by:

    1. Gençaslan, Mustafa & Güney, Hatice & Keskin, Mustafa, 2020. "Construction of global phase diagrams for binary mixtures with equal and unequal size of molecules by using the modified van der Waals model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 540(C).

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