Thermodynamics of hard-sphere fluids in polydisperse random porous media: Extended scaled particle theory
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2026
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| _version_ | 1866918416353329152 |
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| author | Hvozd, T. Hvozd, M. Holovko, M. |
| author_facet | Hvozd, T. Hvozd, M. Holovko, M. |
| contents | Accurate descriptions of reference systems are a central task in liquid-state theories for the study of more complex systems. Using scaled particle theory (SPT), we derive a fully analytical description of the thermodynamic properties of a hard-sphere (HS) fluid confined in size-polydisperse HS random porous media, extending the existing approaches to higher matrix packing fractions. We calculate chemical potentials for a wide range of porous-matrix parameters, including the matrix packing fraction, degree of polydispersity, and particle-size distributions. Within the proposed framework, our results show excellent agreement with available Monte Carlo simulations and previous integral-equation theories over a broad range of matrix packing fractions, $0.1 \leqslant η_0 \leqslant 0.3$, and degrees of polydispersity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_21737 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Thermodynamics of hard-sphere fluids in polydisperse random porous media: Extended scaled particle theory Hvozd, T. Hvozd, M. Holovko, M. Soft Condensed Matter Accurate descriptions of reference systems are a central task in liquid-state theories for the study of more complex systems. Using scaled particle theory (SPT), we derive a fully analytical description of the thermodynamic properties of a hard-sphere (HS) fluid confined in size-polydisperse HS random porous media, extending the existing approaches to higher matrix packing fractions. We calculate chemical potentials for a wide range of porous-matrix parameters, including the matrix packing fraction, degree of polydispersity, and particle-size distributions. Within the proposed framework, our results show excellent agreement with available Monte Carlo simulations and previous integral-equation theories over a broad range of matrix packing fractions, $0.1 \leqslant η_0 \leqslant 0.3$, and degrees of polydispersity. |
| title | Thermodynamics of hard-sphere fluids in polydisperse random porous media: Extended scaled particle theory |
| topic | Soft Condensed Matter |
| url | https://arxiv.org/abs/2603.21737 |