Equilibration in two chambers connected by a capillary of arbitrary shape
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| Natura: | Artículo científico |
| Lingua: | en |
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Sociedad Mexicana de Física A.C.
2013
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| _version_ | 1876451073408892928 |
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| author | I. Pineda |
| author_facet | I. Pineda |
| contents | Equilibration in two chambers connected by a capillary of arbitrary shape I. Pineda M.-V. Vázquez L. Dagdug Física, Astronomía y Matemáticas Fick micron sized vesicle narrow channels Jacobs’ equation 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. 2013 artículo científico 0035-001X https://www.redalyc.org/articulo.oa?id=57030970017 en http://www.redalyc.org/revista.oa?id=570 Revista Mexicana de Física application/pdf Sociedad Mexicana de Física A.C. Revista Mexicana de Física (México) Num.1 Vol.59 |
| format | Artículo científico |
| id | redalyc_57030970017 |
| institution | Redalyc |
| language | en |
| publishDate | 2013 |
| publisher | Sociedad Mexicana de Física A.C. |
| spellingShingle | Equilibration in two chambers connected by a capillary of arbitrary shape I. Pineda Física, Astronomía y Matemáticas Fick micron sized vesicle narrow channels Jacobs’ equation Equilibration in two chambers connected by a capillary of arbitrary shape I. Pineda M.-V. Vázquez L. Dagdug Física, Astronomía y Matemáticas Fick micron sized vesicle narrow channels Jacobs’ equation 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. 2013 artículo científico 0035-001X https://www.redalyc.org/articulo.oa?id=57030970017 en http://www.redalyc.org/revista.oa?id=570 Revista Mexicana de Física application/pdf Sociedad Mexicana de Física A.C. Revista Mexicana de Física (México) Num.1 Vol.59 |
| title | Equilibration in two chambers connected by a capillary of arbitrary shape |
| topic | Física, Astronomía y Matemáticas Fick micron sized vesicle narrow channels Jacobs’ equation |
| url | https://www.redalyc.org/articulo.oa?id=57030970017 |