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Construction of global phase diagrams for binary mixtures with equal and unequal size of molecules by using the modified van der Waals model

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  • Gençaslan, Mustafa
  • Güney, Hatice
  • Keskin, Mustafa

Abstract

The global phase diagram or master diagram is constructed for binary mixtures consist of the equal and unequal size of molecules by using the modified van der Waals model. The Griffiths shield region is also presented on the master diagram. The influence of various size differences ratio of molecules on the master diagram is investigated and discussed. It is observed that the GPD are symmetrical around ζ=0 for the equal-size of molecules and the deterioration in the symmetric behavior of GPD increases as differences of size of molecules increase. From the master diagram, all possible main types of phase behavior for every given interaction energy parameters and various size differences ratio of molecules can be seen directly without long and difficult calculations.

Suggested Citation

  • 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).
  • Handle: RePEc:eee:phsmap:v:540:y:2020:i:c:s0378437119318047
    DOI: 10.1016/j.physa.2019.123212
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    References listed on IDEAS

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    1. Gençaslan, Mustafa & Keskin, Mustafa, 2001. "A generalization of the three-state binary gas–liquid lattice models and analysis of their critical lines," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 293(1), pages 28-50.
    2. 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.
    3. Gençaslan, Mustafa & Keskin, Mustafa, 2016. "Investigation of critical lines and global phase behavior of unequal size of molecules in binary gas–liquid mixtures in the combined pressure–temperature–concentration planes around the van Laar point," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 457(C), pages 454-464.
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