Triple point in a cell fluid model with effective temperature-dependent attraction
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908669043539968 |
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| author | Kozlovskii, M. P. Dobush, O. A. Romanik, R. V. Pylyuk, I. V. Shpot, M. A. |
| author_facet | Kozlovskii, M. P. Dobush, O. A. Romanik, R. V. Pylyuk, I. V. Shpot, M. A. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_17444 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Triple point in a cell fluid model with effective temperature-dependent attraction Kozlovskii, M. P. Dobush, O. A. Romanik, R. V. Pylyuk, I. V. Shpot, M. A. Statistical Mechanics 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. |
| title | Triple point in a cell fluid model with effective temperature-dependent attraction |
| topic | Statistical Mechanics |
| url | https://arxiv.org/abs/2511.17444 |