Alternative deduction of Lifson-Jackson theorem for the study of one-dimensional effective difussion in periodic channels
This work is devoted to the study of unbiased diffusion of point-like Brownian particles trough long, narrow, periodic channels. An alternative deduction of the Lifson-Jackson formula is presented, by means of the introduction of an explicit form of the position-dependent effective diffusion coeffic...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2017 |
| País: | México |
| Institución: | UNIVERSIDAD NACIONAL AUTÓNOMA DE MÉXICO |
| Repositorio: | Entreciencias: diálogos en la sociedad del conocimiento |
| Idioma: | español |
| OAI Identifier: | oai:ojs.pkp.sfu.ca:article/62083 |
| Acceso en línea: | https://revistas.unam.mx/index.php/entreciencias/article/view/62083 |
| Access Level: | acceso abierto |
| Palabra clave: | Unbiased diffusion effective diffusion Fick-Jacobs equation Lifson-Jackson theorem. Difusión simple difusión efectiva canales periódicos ecuación de Fick-Jacobs teorema de Lifson-Jackson. |
| Sumario: | This work is devoted to the study of unbiased diffusion of point-like Brownian particles trough long, narrow, periodic channels. An alternative deduction of the Lifson-Jackson formula is presented, by means of the introduction of an explicit form of the position-dependent effective diffusion coefficient, the alternate procedure saves a significant amount of mathematics, and gives a better glimpse of the principles involved in such a derivation. Finally, it is discussed briefly the application of the formula to a study previously published (J. Chem. Phys. 129, 046101, 2008), on the unbiased diffusion of point-like Brownian particles trough a channel formed by overlapped spheres. |
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