Reaction rate in an evanescent random walkers system

Autores
Ré, Miguel Ángel; Bustos, Natalia Carolina
Año de publicación
2015
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Fil: Ré, Miguel Ángel. Universidad Tecnológica Nacional. Facultad Regional Córdoba; Argentina.
Fil: Ré, Miguel Ángel. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina.
Fil: Bustos, Natalia Carolina. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina.
Diffusion mediated reaction models are particularly ubiquitous in the description of phys-ical, chemical or biological processes. The random walk schema is a useful tool for formu-lating these models. Recently, evanescent random walk models have received attention inorder 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. A diffusion limited reaction model based on a one dimensional continuous time random walk on a lattice with evanescent walkers is presented here. 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.
publishedVersion
Fil: Ré, Miguel Ángel. Universidad Tecnológica Nacional. Facultad Regional Córdoba; Argentina.
Fil: Ré, Miguel Ángel. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina.
Fil: Bustos, Natalia Carolina. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina.
Otras Ciencias Físicas
Fuente
eISSN: 1852-4249
Materia
Random walks
Diffusion limited reaction
Nivel de accesibilidad
acceso abierto
Condiciones de uso
Repositorio
Repositorio Digital Universitario (UNC)
Institución
Universidad Nacional de Córdoba
OAI Identificador
oai:rdu.unc.edu.ar:11086/22152
Acceder
id RDUUNC_82f0afe212e847d3fe01bdad327c3a4e
oai_identifier_str oai:rdu.unc.edu.ar:11086/22152
network_acronym_str RDUUNC
repository_id_str 2572
network_name_str Repositorio Digital Universitario (UNC)
spelling Reaction rate in an evanescent random walkers systemRé, Miguel ÁngelBustos, Natalia CarolinaRandom walksDiffusion limited reactionFil: Ré, Miguel Ángel. Universidad Tecnológica Nacional. Facultad Regional Córdoba; Argentina.Fil: Ré, Miguel Ángel. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina.Fil: Bustos, Natalia Carolina. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina.Diffusion mediated reaction models are particularly ubiquitous in the description of phys-ical, chemical or biological processes. The random walk schema is a useful tool for formu-lating these models. Recently, evanescent random walk models have received attention inorder 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. A diffusion limited reaction model based on a one dimensional continuous time random walk on a lattice with evanescent walkers is presented here. 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.publishedVersionFil: Ré, Miguel Ángel. Universidad Tecnológica Nacional. Facultad Regional Córdoba; Argentina.Fil: Ré, Miguel Ángel. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina.Fil: Bustos, Natalia Carolina. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina.Otras Ciencias Físicas2015info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfRé, Miguel A. y Bustos, Natalia C. (2015). Reaction rate in an evanescent random walkers system. Papers in Physics, 7, 070003. http://dx.doi.org/10.4279/PIP.070003http://hdl.handle.net/11086/22152https://doi.org/10.4279/pip.070003eISSN: 1852-4249reponame:Repositorio Digital Universitario (UNC)instname:Universidad Nacional de Córdobainstacron:UNCenginfo:eu-repo/semantics/openAccess2025-10-23T11:15:58Zoai:rdu.unc.edu.ar:11086/22152Institucionalhttps://rdu.unc.edu.ar/Universidad públicaNo correspondehttp://rdu.unc.edu.ar/oai/snrdoca.unc@gmail.comArgentinaNo correspondeNo correspondeNo correspondeopendoar:25722025-10-23 11:15:58.376Repositorio Digital Universitario (UNC) - Universidad Nacional de Córdobafalse
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 Ángel
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 Ángel
Bustos, Natalia Carolina
author Ré, Miguel Ángel
author_facet Ré, Miguel Ángel
Bustos, Natalia Carolina
author_role author
author2 Bustos, Natalia Carolina
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 Fil: Ré, Miguel Ángel. Universidad Tecnológica Nacional. Facultad Regional Córdoba; Argentina.
Fil: Ré, Miguel Ángel. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina.
Fil: Bustos, Natalia Carolina. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina.
Diffusion mediated reaction models are particularly ubiquitous in the description of phys-ical, chemical or biological processes. The random walk schema is a useful tool for formu-lating these models. Recently, evanescent random walk models have received attention inorder 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. A diffusion limited reaction model based on a one dimensional continuous time random walk on a lattice with evanescent walkers is presented here. 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.
publishedVersion
Fil: Ré, Miguel Ángel. Universidad Tecnológica Nacional. Facultad Regional Córdoba; Argentina.
Fil: Ré, Miguel Ángel. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina.
Fil: Bustos, Natalia Carolina. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina.
Otras Ciencias Físicas
description Fil: Ré, Miguel Ángel. Universidad Tecnológica Nacional. Facultad Regional Córdoba; Argentina.
publishDate 2015
dc.date.none.fl_str_mv 2015
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 Ré, Miguel A. y Bustos, Natalia C. (2015). Reaction rate in an evanescent random walkers system. Papers in Physics, 7, 070003. http://dx.doi.org/10.4279/PIP.070003
http://hdl.handle.net/11086/22152
https://doi.org/10.4279/pip.070003
identifier_str_mv Ré, Miguel A. y Bustos, Natalia C. (2015). Reaction rate in an evanescent random walkers system. Papers in Physics, 7, 070003. http://dx.doi.org/10.4279/PIP.070003
url http://hdl.handle.net/11086/22152
https://doi.org/10.4279/pip.070003
dc.language.none.fl_str_mv eng
language eng
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv eISSN: 1852-4249
reponame:Repositorio Digital Universitario (UNC)
instname:Universidad Nacional de Córdoba
instacron:UNC
reponame_str Repositorio Digital Universitario (UNC)
collection Repositorio Digital Universitario (UNC)
instname_str Universidad Nacional de Córdoba
instacron_str UNC
institution UNC
repository.name.fl_str_mv Repositorio Digital Universitario (UNC) - Universidad Nacional de Córdoba
repository.mail.fl_str_mv oca.unc@gmail.com
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score 12.982451

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