Kinetics of the monomer-monomer surface reaction model

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dc.contributor.author Evans, James
dc.contributor.author Ray, T.
dc.contributor.author Evans, James
dc.contributor.department Ames Laboratory
dc.contributor.department Physics and Astronomy
dc.contributor.department Mathematics
dc.date 2018-02-18T21:30:08.000
dc.date.accessioned 2020-06-30T06:19:22Z
dc.date.available 2020-06-30T06:19:22Z
dc.date.copyright Fri Jan 01 00:00:00 UTC 1993
dc.date.issued 1993
dc.description.abstract <p>The two-dimensional monomer-monomer (<em>AB</em>) surface reaction model without diffusion is considered for infinitesimal, finite, and infinite reaction rates <em>k</em>. For equal reactant adsorption rates, in all cases, simulations reveal the same form of slow poisoning, associated with clustering of reactants. This behavior is also the same as that found in simulations of the two-dimensional <em>voter model</em> studied in interacting-particle systems theory. The voter model can also be obtained from the dimer-dimer or monomer-dimer surface reaction models with infinitesimal reaction rate. We provide a detailed elucidation of the slow poisoning kinetics via an analytic treatment for the <em>k</em>=0+ <em>AB</em> reaction and the voter models. This analysis is extended to incorporate the effects of place-exchange diffusion which slows, but does not prevent poisoning. We also show that the <em>k</em>=0+ <em>AB</em> reaction with no diffusion is equivalent to the voter model with diffusion at rate 1/2. Identical behavior of the monomer-monomer reaction and the voter model is also found in an ‘‘epidemic’’ analysis, where one considers the evolution of a surface poisoned by one species, except for a small patch. Finally, we apply our findings to elucidate the behavior of the monomer-dimer surface reaction model for small reaction rates.</p>
dc.description.comments <p>This is an article published as Evans, J. W., and T. R. Ray. "Kinetics of the monomer-monomer surface reaction model." <em>Physical Review E</em> 47, no. 2 (1993): 1018, doi:<a href="http://dx.doi.org/10.1103/PhysRevE.47.1018" target="_blank">10.1103/PhysRevE.47.1018</a>. Posted with permission.</p>
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dc.identifier archive/lib.dr.iastate.edu/physastro_pubs/397/
dc.identifier.articleid 1400
dc.identifier.contextkey 10626177
dc.identifier.s3bucket isulib-bepress-aws-west
dc.identifier.submissionpath physastro_pubs/397
dc.identifier.uri https://dr.lib.iastate.edu/handle/20.500.12876/57162
dc.language.iso en
dc.source.bitstream archive/lib.dr.iastate.edu/physastro_pubs/397/1993_Evans_KineticsMonomer.pdf|||Fri Jan 14 23:56:33 UTC 2022
dc.source.uri 10.1103/PhysRevE.47.1018
dc.subject.disciplines Biological and Chemical Physics
dc.subject.disciplines Physics
dc.subject.disciplines Statistical, Nonlinear, and Soft Matter Physics
dc.title Kinetics of the monomer-monomer surface reaction model
dc.type article
dc.type.genre article
dspace.entity.type Publication
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