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...
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | article |
| Lenguaje: | Inglés |
| Publicado: |
2022
|
| Materias: | |
| Acceso en línea: | http://hdl.handle.net/11086/22152 https://doi.org/10.4279/pip.070003 |
| Aporte de: |
| Sumario: | 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. |
|---|