The Young-Laplace equation for a solid-liquid interface
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arXiv
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| Format: | Preprint |
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2024
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| author | de Hijes, P. Montero Shi, K. Noya, E. G. Santiso, E. E. Gubbins, K. E. Sanz, E. Vega, C. |
| author_facet | de Hijes, P. Montero Shi, K. Noya, E. G. Santiso, E. E. Gubbins, K. E. Sanz, E. Vega, C. |
| contents | The application of the Young-Laplace equation to a solid-liquid interface is considered. Computer simulations show that the pressure inside a solid cluster of hard spheres is smaller than the external pressure of the liquid (both for small and large clusters). That would suggest a negative value for the interfacial free energy. We show that in a Gibbsian description of the thermodynamics of a curved solid-liquid interface in equilibrium, the choice of the thermodynamic (rather than mechanical) pressure is required, as suggested by Tolman for the liquid-gas scenario. With this definition, the interfacial free energy is positive, and the values obtained are in excellent agreement with previous results from nucleation studies. Although for a curved fluid-fluid interface there is no distinction between mechanical and thermal pressures (for a sufficiently large inner phase), in the solid-liquid they do not coincide, as hypothesized by Gibbs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_12606 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The Young-Laplace equation for a solid-liquid interface de Hijes, P. Montero Shi, K. Noya, E. G. Santiso, E. E. Gubbins, K. E. Sanz, E. Vega, C. Soft Condensed Matter The application of the Young-Laplace equation to a solid-liquid interface is considered. Computer simulations show that the pressure inside a solid cluster of hard spheres is smaller than the external pressure of the liquid (both for small and large clusters). That would suggest a negative value for the interfacial free energy. We show that in a Gibbsian description of the thermodynamics of a curved solid-liquid interface in equilibrium, the choice of the thermodynamic (rather than mechanical) pressure is required, as suggested by Tolman for the liquid-gas scenario. With this definition, the interfacial free energy is positive, and the values obtained are in excellent agreement with previous results from nucleation studies. Although for a curved fluid-fluid interface there is no distinction between mechanical and thermal pressures (for a sufficiently large inner phase), in the solid-liquid they do not coincide, as hypothesized by Gibbs. |
| title | The Young-Laplace equation for a solid-liquid interface |
| topic | Soft Condensed Matter |
| url | https://arxiv.org/abs/2401.12606 |