Random Walks on Comb-like Structures under Stochastic Resetting

We study the long-time dynamics of the mean squared displacement of a random walker moving on a comb structure under the effect of stochastic resetting. We consider that the walker's motion along the backbone is diffusive and it performs short jumps separated by random resting periods along fin...

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Autores: Masó-Puigdellosas, Axel|||0000-0002-1777-5967, Sandev, Trifce|||0000-0001-9120-3847, Méndez, Vicenç|||0000-0002-2605-6606
Formato: artículo
Fecha de publicación:2023
País:España
Recursos:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:284819
Acesso em linha:https://ddd.uab.cat/record/284819
https://dx.doi.org/urn:doi:10.3390/e25111529
Access Level:acceso abierto
Palavra-chave:Anomalous diffusion
Random walks
Stochastic resetting
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spelling Random Walks on Comb-like Structures under Stochastic ResettingMasó-Puigdellosas, Axel|||0000-0002-1777-5967Sandev, Trifce|||0000-0001-9120-3847Méndez, Vicenç|||0000-0002-2605-6606Anomalous diffusionRandom walksStochastic resettingWe study the long-time dynamics of the mean squared displacement of a random walker moving on a comb structure under the effect of stochastic resetting. We consider that the walker's motion along the backbone is diffusive and it performs short jumps separated by random resting periods along fingers. We take into account two different types of resetting acting separately: global resetting from any point in the comb to the initial position and resetting from a finger to the corresponding backbone. We analyze the interplay between the waiting process and Markovian and non-Markovian resetting processes on the overall mean squared displacement. The Markovian resetting from the fingers is found to induce normal diffusion, thereby minimizing the trapping effect of fingers. In contrast, for non-Markovian local resetting, an interesting crossover with three different regimes emerges, with two of them subdiffusive and one of them diffusive. Thus, an interesting interplay between the exponents characterizing the waiting time distributions of the subdiffusive random walk and resetting takes place. As for global resetting, its effect is even more drastic as it precludes normal diffusion. Specifically, such a resetting can induce a constant asymptotic mean squared displacement in the Markovian case or two distinct regimes of subdiffusive motion in the non-Markovian case. 22023-01-0120232023-01-01Articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/284819https://dx.doi.org/urn:doi:10.3390/e25111529reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengopen 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:2848192026-06-06T12:50:31Z
dc.title.none.fl_str_mv Random Walks on Comb-like Structures under Stochastic Resetting
title Random Walks on Comb-like Structures under Stochastic Resetting
spellingShingle Random Walks on Comb-like Structures under Stochastic Resetting
Masó-Puigdellosas, Axel|||0000-0002-1777-5967
Anomalous diffusion
Random walks
Stochastic resetting
title_short Random Walks on Comb-like Structures under Stochastic Resetting
title_full Random Walks on Comb-like Structures under Stochastic Resetting
title_fullStr Random Walks on Comb-like Structures under Stochastic Resetting
title_full_unstemmed Random Walks on Comb-like Structures under Stochastic Resetting
title_sort Random Walks on Comb-like Structures under Stochastic Resetting
dc.creator.none.fl_str_mv Masó-Puigdellosas, Axel|||0000-0002-1777-5967
Sandev, Trifce|||0000-0001-9120-3847
Méndez, Vicenç|||0000-0002-2605-6606
author Masó-Puigdellosas, Axel|||0000-0002-1777-5967
author_facet Masó-Puigdellosas, Axel|||0000-0002-1777-5967
Sandev, Trifce|||0000-0001-9120-3847
Méndez, Vicenç|||0000-0002-2605-6606
author_role author
author2 Sandev, Trifce|||0000-0001-9120-3847
Méndez, Vicenç|||0000-0002-2605-6606
author2_role author
author
dc.subject.none.fl_str_mv Anomalous diffusion
Random walks
Stochastic resetting
topic Anomalous diffusion
Random walks
Stochastic resetting
description We study the long-time dynamics of the mean squared displacement of a random walker moving on a comb structure under the effect of stochastic resetting. We consider that the walker's motion along the backbone is diffusive and it performs short jumps separated by random resting periods along fingers. We take into account two different types of resetting acting separately: global resetting from any point in the comb to the initial position and resetting from a finger to the corresponding backbone. We analyze the interplay between the waiting process and Markovian and non-Markovian resetting processes on the overall mean squared displacement. The Markovian resetting from the fingers is found to induce normal diffusion, thereby minimizing the trapping effect of fingers. In contrast, for non-Markovian local resetting, an interesting crossover with three different regimes emerges, with two of them subdiffusive and one of them diffusive. Thus, an interesting interplay between the exponents characterizing the waiting time distributions of the subdiffusive random walk and resetting takes place. As for global resetting, its effect is even more drastic as it precludes normal diffusion. Specifically, such a resetting can induce a constant asymptotic mean squared displacement in the Markovian case or two distinct regimes of subdiffusive motion in the non-Markovian case.
publishDate 2023
dc.date.none.fl_str_mv 2
2023-01-01
2023
2023-01-01
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/284819
https://dx.doi.org/urn:doi:10.3390/e25111529
url https://ddd.uab.cat/record/284819
https://dx.doi.org/urn:doi:10.3390/e25111529
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
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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