Reaction rate in an evanescent random walkers system
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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Formato: | article |
Lenguaje: | Inglés |
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2022
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Acceso en línea: | http://hdl.handle.net/11086/22152 https://doi.org/10.4279/pip.070003 |
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I10-R14111086-22152 |
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Universidad Nacional de Córdoba |
institution_str |
I-10 |
repository_str |
R-141 |
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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 |
_version_ |
1764820395305730048 |