Diffusion in binary mixtures: An analysis of the dependence on the thermodynamic factor
We study the diffusion process in binary mixtures using transition probabilities that depend on a mean-field potential. This approach reproduces the Darken equation, a relationship between the intrinsic and the tracer diffusion coefficients, D A and D ∗ A , through the thermodynamic factor Φ (a func...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2019 |
| País: | Argentina |
| Institución: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/122917 |
| Acceso en línea: | http://hdl.handle.net/11336/122917 |
| Access Level: | acceso abierto |
| Palabra clave: | MEAN FIELD THEORY MONTE CARLO METHODS DIFFUSION https://purl.org/becyt/ford/1.3 https://purl.org/becyt/ford/1 |
| Sumario: | We study the diffusion process in binary mixtures using transition probabilities that depend on a mean-field potential. This approach reproduces the Darken equation, a relationship between the intrinsic and the tracer diffusion coefficients, D A and D ∗ A , through the thermodynamic factor Φ (a function of the derivative of the activity coefficient against the molar fraction). The mean-field approach allows us to go beyond the Darken equation and separately specify the dependence of D A and D ∗ A on the thermodynamic factor. We obtain that Φ appears in the expression for D ∗ A , but the intrinsic diffusivity D A turns out to be independent of Φ . Experimental results taken from the literature on diffusion in metal alloys are consistent with this theoretical prediction. |
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