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Critical points characterization using probability distributions

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  • Güémez, J.
  • Velasco, S.
  • Calvo Hernández, A.

Abstract

A renormalization-group-like method, developed in a preceding paper, is applied to characterize critical points in liquid binary mixtures. The method is based on the behavior of the probability distribution associated to these systems. Two examples are developed. In the first case (T-independent energy interaction between unlike molecules), the isomorphism with the liquid-gas phase transition is established. In the second one (T-dependent energy interaction between unlike molecules), the difference between simple and double critical points appearing in closed-loop phase diagrams is reported.

Suggested Citation

  • Güémez, J. & Velasco, S. & Calvo Hernández, A., 1989. "Critical points characterization using probability distributions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 154(3), pages 511-520.
    • Handle: RePEc:eee:phsmap:v:154:y:1989:i:3:p:511-520
    DOI: 10.1016/0378-4371(89)90261-6
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    1. Güémez, J. & Calvo Hernández, A. & Velasco, S. & Combariza, E., 1988. "A probabilistic analysis of the Walker-Vause model for liquid binary mixtures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 152(3), pages 384-399.
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    1. Güémez, J. & Velasco, S. & Calvo Hernández, A., 1989. "Critical points characterization using probability distributions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 156(3), pages 823-834.

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