Diffusion through a network of compartments separated by partially-transmitting boundaries

We study the random walk of a particle in a compartmentalized environment, as realized in biological samples or solid state compounds. Each compartment is characterized by its length L and the boundaries transmittance T. We identify two relevant spatio-temporal scales that provide alternative descri...

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Detalles Bibliográficos
Autores: Muñoz-Gil, Gorka, Garcia-March, Miguel Angel, Manzo, Carlo, Celi, Alessio|||0000-0003-4939-084X, Lewenstein, Maciej|||0000-0002-0210-7800
Tipo de recurso: artículo
Fecha de publicación:2019
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:223577
Acceso en línea:https://ddd.uab.cat/record/223577
https://dx.doi.org/urn:doi:10.3389/fphy.2019.00031
Access Level:acceso abierto
Palabra clave:Random walk
Anomalous diffusion
Stochastic processes
Complex systems
Barriers
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spelling Diffusion through a network of compartments separated by partially-transmitting boundariesMuñoz-Gil, GorkaGarcia-March, Miguel AngelManzo, CarloCeli, Alessio|||0000-0003-4939-084XLewenstein, Maciej|||0000-0002-0210-7800Random walkAnomalous diffusionStochastic processesComplex systemsBarriersWe study the random walk of a particle in a compartmentalized environment, as realized in biological samples or solid state compounds. Each compartment is characterized by its length L and the boundaries transmittance T. We identify two relevant spatio-temporal scales that provide alternative descriptions of the dynamics: (i) the microscale, in which the particle position is monitored at constant time intervals; and (ii) the mesoscale, in which it is monitored only when the particle crosses a boundary between compartments. Both descriptions provide-by construction-the same long time behavior. The analytical description obtained at the proposed mesoscale allows for a complete characterization of the complex movement at the microscale, thus representing a fruitful approach for this kind of systems. We show that the presence of disorder in the transmittance is a necessary condition to induce anomalous diffusion, whereas the spatial heterogeneity reduces the degree of subdiffusion and, in some cases, can even compensate for the disorder induced by the stochastic transmittance. 22019-01-0120192019-01-01Articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/223577https://dx.doi.org/urn:doi:10.3389/fphy.2019.00031reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengMinisterio de Economía y Competitividad https://doi.org/10.13039/501100003329 FIS2016-79508-PMinisterio de Economía y Competitividad https://doi.org/10.13039/501100003329 SEV-2015-0522Agència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2017/SGR-1341Ministerio de Economía y Competitividad https://doi.org/10.13039/501100003329 RYC-2015-17896Ministerio de Economía y Competitividad https://doi.org/10.13039/501100003329 BFU-2017-85693-RAgència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2017/SGR-940Agencia Estatal de Investigación https://doi.org/10.13039/501100011033 FIS2017-86530-Popen accesshttp://purl.org/coar/access_right/c_abf2Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, la comunicació pública de l'obra i la creació d'obres derivades, fins i tot amb finalitats comercials, sempre i quan es reconegui l'autoria de l'obra original.https://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:ddd.uab.cat:2235772026-06-06T12:50:31Z
dc.title.none.fl_str_mv Diffusion through a network of compartments separated by partially-transmitting boundaries
title Diffusion through a network of compartments separated by partially-transmitting boundaries
spellingShingle Diffusion through a network of compartments separated by partially-transmitting boundaries
Muñoz-Gil, Gorka
Random walk
Anomalous diffusion
Stochastic processes
Complex systems
Barriers
title_short Diffusion through a network of compartments separated by partially-transmitting boundaries
title_full Diffusion through a network of compartments separated by partially-transmitting boundaries
title_fullStr Diffusion through a network of compartments separated by partially-transmitting boundaries
title_full_unstemmed Diffusion through a network of compartments separated by partially-transmitting boundaries
title_sort Diffusion through a network of compartments separated by partially-transmitting boundaries
dc.creator.none.fl_str_mv Muñoz-Gil, Gorka
Garcia-March, Miguel Angel
Manzo, Carlo
Celi, Alessio|||0000-0003-4939-084X
Lewenstein, Maciej|||0000-0002-0210-7800
author Muñoz-Gil, Gorka
author_facet Muñoz-Gil, Gorka
Garcia-March, Miguel Angel
Manzo, Carlo
Celi, Alessio|||0000-0003-4939-084X
Lewenstein, Maciej|||0000-0002-0210-7800
author_role author
author2 Garcia-March, Miguel Angel
Manzo, Carlo
Celi, Alessio|||0000-0003-4939-084X
Lewenstein, Maciej|||0000-0002-0210-7800
author2_role author
author
author
author
dc.subject.none.fl_str_mv Random walk
Anomalous diffusion
Stochastic processes
Complex systems
Barriers
topic Random walk
Anomalous diffusion
Stochastic processes
Complex systems
Barriers
description We study the random walk of a particle in a compartmentalized environment, as realized in biological samples or solid state compounds. Each compartment is characterized by its length L and the boundaries transmittance T. We identify two relevant spatio-temporal scales that provide alternative descriptions of the dynamics: (i) the microscale, in which the particle position is monitored at constant time intervals; and (ii) the mesoscale, in which it is monitored only when the particle crosses a boundary between compartments. Both descriptions provide-by construction-the same long time behavior. The analytical description obtained at the proposed mesoscale allows for a complete characterization of the complex movement at the microscale, thus representing a fruitful approach for this kind of systems. We show that the presence of disorder in the transmittance is a necessary condition to induce anomalous diffusion, whereas the spatial heterogeneity reduces the degree of subdiffusion and, in some cases, can even compensate for the disorder induced by the stochastic transmittance.
publishDate 2019
dc.date.none.fl_str_mv 2
2019-01-01
2019
2019-01-01
dc.type.none.fl_str_mv Article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://ddd.uab.cat/record/223577
https://dx.doi.org/urn:doi:10.3389/fphy.2019.00031
url https://ddd.uab.cat/record/223577
https://dx.doi.org/urn:doi:10.3389/fphy.2019.00031
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Ministerio de Economía y Competitividad https://doi.org/10.13039/501100003329 FIS2016-79508-P
Ministerio de Economía y Competitividad https://doi.org/10.13039/501100003329 SEV-2015-0522
Agència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2017/SGR-1341
Ministerio de Economía y Competitividad https://doi.org/10.13039/501100003329 RYC-2015-17896
Ministerio de Economía y Competitividad https://doi.org/10.13039/501100003329 BFU-2017-85693-R
Agència de Gestió d'Ajuts Universitaris i de Recerca https://doi.org/10.13039/501100003030 2017/SGR-940
Agencia Estatal de Investigación https://doi.org/10.13039/501100011033 FIS2017-86530-P
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://creativecommons.org/licenses/by/4.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Dipòsit Digital de Documents de la UAB
instname:Universitat Autònoma de Barcelona
instname_str Universitat Autònoma de Barcelona
reponame_str Dipòsit Digital de Documents de la UAB
collection Dipòsit Digital de Documents de la UAB
repository.name.fl_str_mv
repository.mail.fl_str_mv
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