{"title":"Nonequilibrium kinetic phase transition of a monomer-dimer reaction model with sequential dimer adsorption in two dimensions.","authors":"Da-Yin Hua, Yu-Qiang Ma","doi":"10.1103/PhysRevE.66.036101","DOIUrl":null,"url":null,"abstract":"We study a monomer-dimer reaction model in two dimensions in which the adsorption process of a dimer on the surface sites is separated into two steps (i.e., B2+*-->B2 *, and B2 * +*-->2B*, where * is an empty site), as first introduced by Evans and co-workers. It is clear that the dissociation of a dimer is dependent on the complicated configuration of the adsorbate. We show that the continuous transition from the reactive state to the O-passivated state and the discontinuous transition to the CO-passivated state both shift toward higher values of the fraction p of the monomer in gas phase but the reaction window decreases compared to the Ziff-Gulari-Barshad model. For the model studied here, the critical exponents of the continuous phase transition still exhibit a directed percolation character as expected.","PeriodicalId":20085,"journal":{"name":"Physical review. E","volume":"66 3 Pt 2A","pages":"036101"},"PeriodicalIF":2.4000,"publicationDate":"2002-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1103/PhysRevE.66.036101","citationCount":"6","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physical review. E","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1103/PhysRevE.66.036101","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2002/9/4 0:00:00","PubModel":"Epub","JCR":"Q1","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 6
Abstract
We study a monomer-dimer reaction model in two dimensions in which the adsorption process of a dimer on the surface sites is separated into two steps (i.e., B2+*-->B2 *, and B2 * +*-->2B*, where * is an empty site), as first introduced by Evans and co-workers. It is clear that the dissociation of a dimer is dependent on the complicated configuration of the adsorbate. We show that the continuous transition from the reactive state to the O-passivated state and the discontinuous transition to the CO-passivated state both shift toward higher values of the fraction p of the monomer in gas phase but the reaction window decreases compared to the Ziff-Gulari-Barshad model. For the model studied here, the critical exponents of the continuous phase transition still exhibit a directed percolation character as expected.
期刊介绍:
Physical Review E (PRE), broad and interdisciplinary in scope, focuses on collective phenomena of many-body systems, with statistical physics and nonlinear dynamics as the central themes of the journal. Physical Review E publishes recent developments in biological and soft matter physics including granular materials, colloids, complex fluids, liquid crystals, and polymers. The journal covers fluid dynamics and plasma physics and includes sections on computational and interdisciplinary physics, for example, complex networks.