Langevin dynamics of A+A reactions in one dimension
We propose a set of Langevin equations of motion together with a reaction rule for the study of binary reactions. Our scheme is designed to address this problem for arbitrary friction ° and temperature T. It easily accommodates the inclusion of a substrate potential, and it lends itself to straightf...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2007 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/16892 |
| Acceso en línea: | https://hdl.handle.net/2117/16892 https://dx.doi.org/10.1088/0953-8984/19/6/065108 |
| Access Level: | acceso abierto |
| Palabra clave: | Digital simulation Integration Diffusion Reaction mechanism Equations of motion Langevin equations Binary reactions Circuits binaris Ballistic reactions Numerical method Mecanisme reacció Nonlinear dynamics Anihilations reactions Balística Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes numèrics |
| Sumario: | We propose a set of Langevin equations of motion together with a reaction rule for the study of binary reactions. Our scheme is designed to address this problem for arbitrary friction ° and temperature T. It easily accommodates the inclusion of a substrate potential, and it lends itself to straightforward numerical integration. We test this approach on di®usion-limited (° ! 1) as well as ballistic (° = 0) A+A ! P reactions for which there are extensive exact and approximate theoretical results as well as extensive Monte Carlo results. We reproduce the known results using our integration scheme, and also present new results for the ballistic reactions. |
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