Self-diffusion in confined systems
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866917036313018368 |
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| author | Mayo, Manuel de Soria, María Isabel García Maynar, Pablo Brey, José Javier |
| author_facet | Mayo, Manuel de Soria, María Isabel García Maynar, Pablo Brey, José Javier |
| contents | The self-diffusion process of a hard sphere fluid confined by two parallel plates separated by a distance on the order of the particle diameter is studied. The starting point is a closed kinetic equation for the distribution function that takes into account the effects of the confinement and that is valid in the low-density limit. From it, the Boltzmann-Lorentz equation that describes the dynamics of some tagged particles when the whole system is in equilibrium is derived. An equation that describes the diffusion in the directions parallel to the walls is deduced by applying the Zwanzig-Mori projection technique to the Boltzmann-Lorentz equation, obtaining an explicit expression for the self-diffusion coefficient that depends on the height of the system. A very good agreement between its theoretical prediction and Molecular Dynamics simulation results is obtained for the whole range of heights. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_20357 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Self-diffusion in confined systems Mayo, Manuel de Soria, María Isabel García Maynar, Pablo Brey, José Javier Statistical Mechanics Disordered Systems and Neural Networks Mesoscale and Nanoscale Physics 76R50 (Primary) 76A02 The self-diffusion process of a hard sphere fluid confined by two parallel plates separated by a distance on the order of the particle diameter is studied. The starting point is a closed kinetic equation for the distribution function that takes into account the effects of the confinement and that is valid in the low-density limit. From it, the Boltzmann-Lorentz equation that describes the dynamics of some tagged particles when the whole system is in equilibrium is derived. An equation that describes the diffusion in the directions parallel to the walls is deduced by applying the Zwanzig-Mori projection technique to the Boltzmann-Lorentz equation, obtaining an explicit expression for the self-diffusion coefficient that depends on the height of the system. A very good agreement between its theoretical prediction and Molecular Dynamics simulation results is obtained for the whole range of heights. |
| title | Self-diffusion in confined systems |
| topic | Statistical Mechanics Disordered Systems and Neural Networks Mesoscale and Nanoscale Physics 76R50 (Primary) 76A02 |
| url | https://arxiv.org/abs/2510.20357 |