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Title:
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Langevin dynamics of A+A reactions in one dimension
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Author:
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Sancho, Jose Maria; Romero, A. H.; Lacasta Palacio, Ana María; Lindenberg, Katja
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Other authors:
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Universitat Politècnica de Catalunya. Departament de Física Aplicada; Universitat Politècnica de Catalunya. NOLIN - Física No-Lineal i Sistemes Fora de l'Equilibri |
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Abstract:
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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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Abstract:
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Peer Reviewed |
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Subject(s):
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-Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes numèrics
-Digital simulation
-Integration
-Diffusion
-Reaction mechanism
-Equations of motion
-Langevin equations
-Langevin equations
-Binary reactions
-Circuits binaris
-Ballistic reactions
-Numerical method
-Mecanisme reacció
-Nonlinear dynamics
-Anihilations reactions
-Circuits binaris
-Balística |
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Rights:
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Document type:
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Article - Draft
Article |
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Published by:
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IOP Publishing
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