Reaction rate in an evanescent random walkers system

Autores
Ré, Miguel A.; Bustos, Natalia C.
Año de publicación
2015
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Diffusion mediated reaction models are particularly ubiquitous in the description of physical, chemical or biological processes. The random walk schema is an useful tool for formulating these models. Recently evanescent random walk models have received attention to include finite lifetime processes. For instance activated chemical reactions, such as laser photolysis, exhibit a different asymptotic limit when compared with immortal walker models. It is presented here a diffusion limited reaction model based on an one dimensional continuous time random walk on a lattice with evanescent walkers. The absorption probability density and the reaction rate are analytically calculated in the Laplace domain. A finite absorption rate is considered, a model usually referred to as imperfect trapping. Short and long time behaviors are analyzed.
Fil: Ré, Miguel A. Universidad Tecnológica Nacional. Facultad Regional Córdoba. Centro de Investigación en Informática para la Ingeniería; Argentina.
Fil: Bustos, Natalia C. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina.
Fuente
Papers in phisics 7(2015)
Materia
Random Walks
Diffusion Limited Reaction
Nivel de accesibilidad
acceso abierto
Condiciones de uso
Attribution-NonCommercial-NoDerivatives 4.0 International
Repositorio
Repositorio Institucional Abierto (UTN)
Institución
Universidad Tecnológica Nacional
OAI Identificador
oai:ria.utn.edu.ar:20.500.12272/13911
Acceder
id RIAUTN_242b79a03ca3f16ab6b7a45d1e1287f6
oai_identifier_str oai:ria.utn.edu.ar:20.500.12272/13911
network_acronym_str RIAUTN
repository_id_str a
network_name_str Repositorio Institucional Abierto (UTN)
spelling Reaction rate in an evanescent random walkers systemRé, Miguel A.Bustos, Natalia C.Random WalksDiffusion Limited ReactionDiffusion mediated reaction models are particularly ubiquitous in the description of physical, chemical or biological processes. The random walk schema is an useful tool for formulating these models. Recently evanescent random walk models have received attention to include finite lifetime processes. For instance activated chemical reactions, such as laser photolysis, exhibit a different asymptotic limit when compared with immortal walker models. It is presented here a diffusion limited reaction model based on an one dimensional continuous time random walk on a lattice with evanescent walkers. The absorption probability density and the reaction rate are analytically calculated in the Laplace domain. A finite absorption rate is considered, a model usually referred to as imperfect trapping. Short and long time behaviors are analyzed.Fil: Ré, Miguel A. Universidad Tecnológica Nacional. Facultad Regional Córdoba. Centro de Investigación en Informática para la Ingeniería; Argentina.Fil: Bustos, Natalia C. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina.Instituto de Fisica de Liquidos y Sistemas Biologicos2025-10-07T16:23:33Z2015info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articulopdfapplication/pdfPapers in phisics1852-4249https://hdl.handle.net/20.500.12272/13911Papers in phisics 7(2015)reponame:Repositorio Institucional Abierto (UTN)instname:Universidad Tecnológica Nacionalenginfo:eu-repo/semantics/openAccessAttribution-NonCommercial-NoDerivatives 4.0 Internationalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Ré, Miguel A.; Bustos, Natalia C.https://creativecommons.org/licenses/by-nc-nd/4.0/2026-09-24T12:48:20Zoai:ria.utn.edu.ar:20.500.12272/13911instacron:UTNInstitucionalhttp://ria.utn.edu.ar/Universidad públicaNo correspondehttp://ria.utn.edu.ar/oaigestionria@rec.utn.edu.ar; fsuarez@rec.utn.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:a2026-09-24 12:48:21.816Repositorio Institucional Abierto (UTN) - Universidad Tecnológica Nacionalfalse
dc.title.none.fl_str_mv Reaction rate in an evanescent random walkers system
title Reaction rate in an evanescent random walkers system
spellingShingle Reaction rate in an evanescent random walkers system
Ré, Miguel A.
Random Walks
Diffusion Limited Reaction
title_short Reaction rate in an evanescent random walkers system
title_full Reaction rate in an evanescent random walkers system
title_fullStr Reaction rate in an evanescent random walkers system
title_full_unstemmed Reaction rate in an evanescent random walkers system
title_sort Reaction rate in an evanescent random walkers system
dc.creator.none.fl_str_mv Ré, Miguel A.
Bustos, Natalia C.
author Ré, Miguel A.
author_facet Ré, Miguel A.
Bustos, Natalia C.
author_role author
author2 Bustos, Natalia C.
author2_role author
dc.subject.none.fl_str_mv Random Walks
Diffusion Limited Reaction
topic Random Walks
Diffusion Limited Reaction
dc.description.none.fl_txt_mv Diffusion mediated reaction models are particularly ubiquitous in the description of physical, chemical or biological processes. The random walk schema is an useful tool for formulating these models. Recently evanescent random walk models have received attention to include finite lifetime processes. For instance activated chemical reactions, such as laser photolysis, exhibit a different asymptotic limit when compared with immortal walker models. It is presented here a diffusion limited reaction model based on an one dimensional continuous time random walk on a lattice with evanescent walkers. The absorption probability density and the reaction rate are analytically calculated in the Laplace domain. A finite absorption rate is considered, a model usually referred to as imperfect trapping. Short and long time behaviors are analyzed.
Fil: Ré, Miguel A. Universidad Tecnológica Nacional. Facultad Regional Córdoba. Centro de Investigación en Informática para la Ingeniería; Argentina.
Fil: Bustos, Natalia C. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina.
description Diffusion mediated reaction models are particularly ubiquitous in the description of physical, chemical or biological processes. The random walk schema is an useful tool for formulating these models. Recently evanescent random walk models have received attention to include finite lifetime processes. For instance activated chemical reactions, such as laser photolysis, exhibit a different asymptotic limit when compared with immortal walker models. It is presented here a diffusion limited reaction model based on an one dimensional continuous time random walk on a lattice with evanescent walkers. The absorption probability density and the reaction rate are analytically calculated in the Laplace domain. A finite absorption rate is considered, a model usually referred to as imperfect trapping. Short and long time behaviors are analyzed.
publishDate 2015
dc.date.none.fl_str_mv 2015
2025-10-07T16:23:33Z
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv Papers in phisics
1852-4249
https://hdl.handle.net/20.500.12272/13911
identifier_str_mv Papers in phisics
1852-4249
url https://hdl.handle.net/20.500.12272/13911
dc.language.none.fl_str_mv eng
language eng
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
Ré, Miguel A.; Bustos, Natalia C.
https://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
rights_invalid_str_mv Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
Ré, Miguel A.; Bustos, Natalia C.
https://creativecommons.org/licenses/by-nc-nd/4.0/
dc.format.none.fl_str_mv pdf
application/pdf
dc.publisher.none.fl_str_mv Instituto de Fisica de Liquidos y Sistemas Biologicos
publisher.none.fl_str_mv Instituto de Fisica de Liquidos y Sistemas Biologicos
dc.source.none.fl_str_mv Papers in phisics 7(2015)
reponame:Repositorio Institucional Abierto (UTN)
instname:Universidad Tecnológica Nacional
reponame_str Repositorio Institucional Abierto (UTN)
collection Repositorio Institucional Abierto (UTN)
instname_str Universidad Tecnológica Nacional
repository.name.fl_str_mv Repositorio Institucional Abierto (UTN) - Universidad Tecnológica Nacional
repository.mail.fl_str_mv gestionria@rec.utn.edu.ar; fsuarez@rec.utn.edu.ar
_version_ 1877230960977641472
score 13.265058

Publicaciones similares