Unbiased Diffusion through a Linear Porous Media with Periodic Entropy Barriers: A Tube Formed by Contacting Ellipses
This work is devoted to the study of unbiased diffusion of point-like Brownian particles through channels with radial symmetry of varying cross-section and elliptic shape. The effective one-dimensional reduction is used with distinct forms of a position-dependent diffusion coefficient, D(x), found i...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Journal of Chemistry |
| Online Access: | http://dx.doi.org/10.1155/2015/986402 |
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| author | Yoshua Chávez Marco-Vinicio Vázquez Leonardo Dagdug |
| author_facet | Yoshua Chávez Marco-Vinicio Vázquez Leonardo Dagdug |
| author_sort | Yoshua Chávez |
| collection | DOAJ |
| description | This work is devoted to the study of unbiased diffusion of point-like Brownian particles through channels with radial symmetry of varying cross-section and elliptic shape. The effective one-dimensional reduction is used with distinct forms of a position-dependent diffusion coefficient, D(x), found in literature, to obtain expressions for (I) narrow escape times from a single open-ended tube, (II) its correspondent effective diffusion coefficient, both as functions of the eccentricity of the tube, ε, where ε = 0 returns the system to a spherical vesicle with two open opposite sides, and (III) finally, Lifson-Jackson formula that is used to compute expressions to assess the mean effective diffusion coefficient for a periodic elliptic channel formed by contacting ellipses, also as a function of the eccentricity. Mathematical expressions are presented and contrasted against computational simulations to validate them. |
| format | Article |
| id | doaj-art-97aa8b00682546a4b4007b714b262129 |
| institution | Kabale University |
| issn | 2090-9063 2090-9071 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Chemistry |
| spelling | doaj-art-97aa8b00682546a4b4007b714b2621292025-02-03T06:06:03ZengWileyJournal of Chemistry2090-90632090-90712015-01-01201510.1155/2015/986402986402Unbiased Diffusion through a Linear Porous Media with Periodic Entropy Barriers: A Tube Formed by Contacting EllipsesYoshua Chávez0Marco-Vinicio Vázquez1Leonardo Dagdug2Universidad Autónoma Metropolitana Iztapalapa, Avenue San Rafael Atlixco 186, 09340 México, DF, MexicoUniversidad Autónoma Metropolitana Iztapalapa, Avenue San Rafael Atlixco 186, 09340 México, DF, MexicoUniversidad Autónoma Metropolitana Iztapalapa, Avenue San Rafael Atlixco 186, 09340 México, DF, MexicoThis work is devoted to the study of unbiased diffusion of point-like Brownian particles through channels with radial symmetry of varying cross-section and elliptic shape. The effective one-dimensional reduction is used with distinct forms of a position-dependent diffusion coefficient, D(x), found in literature, to obtain expressions for (I) narrow escape times from a single open-ended tube, (II) its correspondent effective diffusion coefficient, both as functions of the eccentricity of the tube, ε, where ε = 0 returns the system to a spherical vesicle with two open opposite sides, and (III) finally, Lifson-Jackson formula that is used to compute expressions to assess the mean effective diffusion coefficient for a periodic elliptic channel formed by contacting ellipses, also as a function of the eccentricity. Mathematical expressions are presented and contrasted against computational simulations to validate them.http://dx.doi.org/10.1155/2015/986402 |
| spellingShingle | Yoshua Chávez Marco-Vinicio Vázquez Leonardo Dagdug Unbiased Diffusion through a Linear Porous Media with Periodic Entropy Barriers: A Tube Formed by Contacting Ellipses Journal of Chemistry |
| title | Unbiased Diffusion through a Linear Porous Media with Periodic Entropy Barriers: A Tube Formed by Contacting Ellipses |
| title_full | Unbiased Diffusion through a Linear Porous Media with Periodic Entropy Barriers: A Tube Formed by Contacting Ellipses |
| title_fullStr | Unbiased Diffusion through a Linear Porous Media with Periodic Entropy Barriers: A Tube Formed by Contacting Ellipses |
| title_full_unstemmed | Unbiased Diffusion through a Linear Porous Media with Periodic Entropy Barriers: A Tube Formed by Contacting Ellipses |
| title_short | Unbiased Diffusion through a Linear Porous Media with Periodic Entropy Barriers: A Tube Formed by Contacting Ellipses |
| title_sort | unbiased diffusion through a linear porous media with periodic entropy barriers a tube formed by contacting ellipses |
| url | http://dx.doi.org/10.1155/2015/986402 |
| work_keys_str_mv | AT yoshuachavez unbiaseddiffusionthroughalinearporousmediawithperiodicentropybarriersatubeformedbycontactingellipses AT marcoviniciovazquez unbiaseddiffusionthroughalinearporousmediawithperiodicentropybarriersatubeformedbycontactingellipses AT leonardodagdug unbiaseddiffusionthroughalinearporousmediawithperiodicentropybarriersatubeformedbycontactingellipses |