Reaction rate in an evanescent random walkers system

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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 lifetim...

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Autores principales: Ré, Miguel Ángel, Bustos, Natalia Carolina
Formato: article
Lenguaje:Inglés
Publicado: 2022
Materias:
Random walks
Diffusion limited reaction
Acceso en línea:http://hdl.handle.net/11086/22152
https://doi.org/10.4279/pip.070003
Aporte de:
Repositorio Digital Universitario (UNC) de Universidad Nacional de Córdoba
id I10-R14111086-22152
record_format dspace
institution Universidad Nacional de Córdoba
institution_str I-10
repository_str R-141
collection Repositorio Digital Universitario (UNC)
language Inglés
topic Random walks
Diffusion limited reaction
spellingShingle Random walks
Diffusion limited reaction
Ré, Miguel Ángel
Bustos, Natalia Carolina
Reaction rate in an evanescent random walkers system
topic_facet Random walks
Diffusion limited reaction
description 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.
format article
author Ré, Miguel Ángel
Bustos, Natalia Carolina
author_facet Ré, Miguel Ángel
Bustos, Natalia Carolina
author_sort Ré, Miguel Ángel
title Reaction rate in an evanescent random walkers system
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
publishDate 2022
url http://hdl.handle.net/11086/22152
https://doi.org/10.4279/pip.070003
work_keys_str_mv AT remiguelangel reactionrateinanevanescentrandomwalkerssystem
AT bustosnataliacarolina reactionrateinanevanescentrandomwalkerssystem
bdutipo_str Repositorios
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