Multiple reentrance and fractal phase boundaries in the Barker–Fock model

Michinari Momma and James S. Walker

Physica A: Statistical Mechanics and its Applications, 2000, vol. 278, issue 1, 52-64

Abstract: The Barker–Fock model, which addresses the issue of closed-loop phase diagrams in binary liquid mixtures, is shown to exhibit a wealth of interesting and rather unexpected physical phenomena. For example, renormalization-group studies indicate that in addition to the standard closed-loop diagrams seen in many binary liquid mixtures, the Barker–Fock model also yields multiple reentrance – perhaps of unlimited degree. In addition, one of the “phase boundaries” in the model is actually many separate phases mixed together to form a “fractal foam”. Behavior of this kind is interesting in its own right, and particularly so when the underlying model has direct physical relevance.

Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:278:y:2000:i:1:p:52-64

DOI: 10.1016/S0378-4371(99)00542-7

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