Kinetics of the monomer-monomer surface reaction model Evans, James Ray, T. Evans, James
dc.contributor.department Ames Laboratory
dc.contributor.department Physics and Astronomy
dc.contributor.department Mathematics 2018-02-18T21:30:08.000 2020-06-30T06:19:22Z 2020-06-30T06:19:22Z Fri Jan 01 00:00:00 UTC 1993 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="" target="_blank">10.1103/PhysRevE.47.1018</a>. Posted with permission.</p>
dc.format.mimetype application/pdf
dc.identifier archive/
dc.identifier.articleid 1400
dc.identifier.contextkey 10626177
dc.identifier.s3bucket isulib-bepress-aws-west
dc.identifier.submissionpath physastro_pubs/397
dc.language.iso en
dc.source.bitstream archive/|||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
relation.isAuthorOfPublication ccb1c87c-15e0-46f4-bd16-0df802755a5b
relation.isOrgUnitOfPublication 25913818-6714-4be5-89a6-f70c8facdf7e
relation.isOrgUnitOfPublication 4a05cd4d-8749-4cff-96b1-32eca381d930
relation.isOrgUnitOfPublication 82295b2b-0f85-4929-9659-075c93e82c48
Original bundle
Now showing 1 - 1 of 1
405.38 KB
Adobe Portable Document Format