Reaction rate in an evanescent random walkers system
Fil: Ré, Miguel Ángel. Universidad Tecnológica Nacional. Facultad Regional Córdoba; Argentina.
| Main Authors: | , |
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| Format: | publishedVersion |
| Language: | eng |
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2022
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| Online Access: | http://hdl.handle.net/11086/22152 https://doi.org/10.4279/pip.070003 |
| _version_ | 1801212509536911360 |
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| author | Ré, Miguel Ángel Bustos, Natalia Carolina |
| author_facet | Ré, Miguel Ángel Bustos, Natalia Carolina |
| author_sort | Ré, Miguel Ángel |
| collection | Repositorio Digital Universitario |
| description | Fil: Ré, Miguel Ángel. Universidad Tecnológica Nacional. Facultad Regional Córdoba; Argentina. |
| format | publishedVersion |
| id | rdu-unc.22152 |
| institution | Universidad Nacional de Cordoba |
| language | eng |
| publishDate | 2022 |
| record_format | dspace |
| spelling | rdu-unc.221522022-10-13T11:08:30Z Reaction rate in an evanescent random walkers system Ré, Miguel Ángel Bustos, Natalia Carolina Random walks Diffusion limited reaction 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. 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 2022-01-11T14:45:47Z 2022-01-11T14:45:47Z 2015 article 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 eng Attribution 3.0 Unported (CC BY 3.0) http://creativecommons.org/licenses/by/3.0/ Electrónico y/o Digital eISSN: 1852-4249 |
| spellingShingle | Random walks Diffusion limited reaction Ré, Miguel Ángel Bustos, Natalia Carolina Reaction rate in an evanescent random walkers system |
| title | 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_short | Reaction rate in an evanescent random walkers system |
| title_sort | reaction rate in an evanescent random walkers system |
| topic | Random walks Diffusion limited reaction |
| url | http://hdl.handle.net/11086/22152 https://doi.org/10.4279/pip.070003 |
| work_keys_str_mv | AT remiguelangel reactionrateinanevanescentrandomwalkerssystem AT bustosnataliacarolina reactionrateinanevanescentrandomwalkerssystem |