Triple point in a cell fluid model with effective temperature-dependent attraction

M. P. Kozlovskii; O. A. Dobush; R. V. Romanik; I. V. Pylyuk; M. A. Shpot

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arXiv · 2511.17444

Triple point in a cell fluid model with effective temperature-dependent attraction

M. P. Kozlovskii·O. A. Dobush·R. V. Romanik·I. V. Pylyuk·M. A. Shpot

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Abstract

We study a cell fluid model of a many-particle system with Curie-Weiss-type interaction potential. It is considered as an open system in a fixed volume partitioned into a large number of congruent cubic cells. The interaction potential comprises two competing components: a global uniform attraction acting between all particle pairs in the volume and a short-range repulsion between particles occupying the same cell. Previous studies have established that this model admits an exact solution, exhibits multiple critical points, and undergoes a sequence of first-order phase transitions. Despite variations in the interaction strengths, no triple point appears as long as these parameters remain fixed. We demonstrate that incorporating effective {temperature-dependent} attractive interactions fundamentally alters the phase behavior of the cell model. This modification preserves the model's exact solvability while resulting in the emergence of a triple point in the phase diagram.

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M. P. Kozlovskii, O. A. Dobush, R. V. Romanik, I. V. Pylyuk, M. A. Shpot. 2025-11-21. Triple point in a cell fluid model with effective temperature-dependent attraction. https://arxiv.org/abs/2511.17444

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