Monte Carlo simulations for a Lotka-type model with reactant surface diffusion and interactions

DC FieldValueLanguage
dc.contributor.authorZvejnieks, G
dc.contributor.authorKuzovkov, VN
dc.date.accessioned2021-12-23T16:09:31Z-
dc.date.available2021-12-23T16:09:31Z-
dc.date.issued2001
dc.identifier.issn15393755
dc.identifier.urihttps://osnascholar.ub.uni-osnabrueck.de/handle/unios/8842-
dc.description.abstractThe standard Lotka-type model, which was introduced for the first time by Mai et al. [J. Phys. A 30, 4171 (1997)] for a simplified description of autocatalytic surface reactions, is generalized here for a case of mobile and energetically interacting reactants. The mathematical formalism is proposed fur determining the dependence of transition rates on the interaction energy (and temperature) for the general mathematical model, and the Lotka-type model, in particular. By means of Monte Carlo computer simulations, we have studied the impact of diffusion (with and without energetic interactions between reactants) on oscillatory properties of the A B --> 2B reaction. The diffusion leads to a desynchronization of oscillations and a subsequent decrease of oscillation amplitude. The energetic interaction between reactants has a dual effect depending on the type of mobile reactants. In the limiting case of mobile reactants B the repulsion results in a decrease of amplitudes. However, these amplitudes increase if reactants A are mobile and repulse each other. A simplified interpretation of the obtained results is given.
dc.language.isoen
dc.publisherAMER PHYSICAL SOC
dc.relation.ispartofPHYSICAL REVIEW E
dc.subjectBEHAVIOR
dc.subjectCHAOS
dc.subjectCOMPUTER-SIMULATIONS
dc.subjectKINETIC OSCILLATIONS
dc.subjectNEAR-CRITICAL POINT
dc.subjectNUCLEATION
dc.subjectOXIDATION
dc.subjectPhysics
dc.subjectPhysics, Fluids & Plasmas
dc.subjectPhysics, Mathematical
dc.titleMonte Carlo simulations for a Lotka-type model with reactant surface diffusion and interactions
dc.typejournal article
dc.identifier.doi10.1103/PhysRevE.63.051104
dc.identifier.isiISI:000168730700007
dc.description.volume63
dc.description.issue5, 1
dc.contributor.orcid0000-0001-6023-4106
dc.contributor.orcid0000-0002-8360-5130
dc.contributor.researcheridC-8144-2011
dc.contributor.researcheridF-6809-2010
dc.identifier.eissn15502376
dc.publisher.placeONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA
dcterms.isPartOf.abbreviationPhys. Rev. E
Show simple item record

Page view(s)

2
Last Week
0
Last month
2
checked on Apr 12, 2024

Google ScholarTM

Check

Altmetric