Equilibration in two chambers connected by a capillary of arbitrary shape
The present work is devoted to the study of the unbiased diffusion of particles to escape from a micron-sized vesicle, through a channel of arbitrary geometry. The use of propagators allows us to describe the diffusion between the vesicle and the interstitial space. The computed relaxation time of t...
| Autores: | , , |
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| Tipo de documento: | artigo |
| Estado: | Versão publicada |
| Data de publicação: | 2013 |
| País: | México |
| Recursos: | Universidad Autónoma Metropolitana |
| Repositório: | Redalyc-UAM |
| OAI Identifier: | oai:redalyc.org:57030970017 |
| Acesso em linha: | https://www.redalyc.org/articulo.oa?id=57030970017 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Física, Astronomía y Matemáticas Fick micron sized vesicle narrow channels Jacobs’ equation |
| Resumo: | The present work is devoted to the study of the unbiased diffusion of particles to escape from a micron-sized vesicle, through a channel of arbitrary geometry. The use of propagators allows us to describe the diffusion between the vesicle and the interstitial space. The computed relaxation time of the system only depends on its geometric parameters and the diffusion coefficient. It is noted that the whole problem can be reduced to the study of diffusion in the channel. Finally, we give a procedure to find the solution of the Fick-Jacobs’ equation for a channel with radial symmetry but arbitrary shape and with constant diffusion coefficient. |
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