Ordering and percolation transitions for hard squares: Equilibrium versus nonequilibrium models for adsorbed layers with c(2X2) superlattice ordering

dc.contributor.author Liu, Da-Jiang
dc.contributor.author Evans, James
dc.contributor.author Evans, James
dc.contributor.department Ames Laboratory
dc.contributor.department Mathematics
dc.date 2018-02-17T11:58:52.000
dc.date.accessioned 2020-06-30T06:00:20Z
dc.date.available 2020-06-30T06:00:20Z
dc.date.copyright Sat Jan 01 00:00:00 UTC 2000
dc.date.issued 2000-07-01
dc.description.abstract <p>We study the critical behavior of models for adsorbed layers in which particles reside on a square lattice and have infinite nearest-neighbor repulsions. Such particles are often described as “hard squares.” We consider both the equilibrium hard-square model and a nonequilibrium model. The latter involves dimer adsorption onto diagonally adjacent sites, and the desorption and possible hopping of adsorbed monomer particles (where neither adsorption nor hopping can create adjacent pairs of occupied sites). In the limit of high monomer mobility, one recovers the equilibrium model. Both models exhibit a continuous symmetry breaking transition in the Ising universality class, and also a percolation transition for c(2×2) clusters of particles connected with diagonal bonds. For the equilibrium model, extensive Monte Carlo simulations show that the two transitions coincide, supporting the claim of Hu and Mak. We also determine percolation exponents for c(2×2) clusters and vacancy clusters, and consider a correlated site-bond percolation problem which elucidates conditions for coincidence of symmetry-breaking and percolation. In contrast, for the nonequilibrium model with immobile adsorbed monomers, there is a gap between the symmetry-breaking and percolation transitions, and the random percolation universality class applies. Finally, we examine the crossover behavior with increasing mobility of adsorbed monomers.</p>
dc.description.comments <p>This article is from <em>Physical Review B</em> 62 (2000): 2134, doi:<a href="http://dx.doi.org/10.1103/PhysRevB.62.2134" target="_blank">10.1103/PhysRevB.62.2134 </a>.</p>
dc.format.mimetype application/pdf
dc.identifier archive/lib.dr.iastate.edu/math_pubs/20/
dc.identifier.articleid 1022
dc.identifier.contextkey 8089812
dc.identifier.s3bucket isulib-bepress-aws-west
dc.identifier.submissionpath math_pubs/20
dc.identifier.uri https://dr.lib.iastate.edu/handle/20.500.12876/54590
dc.language.iso en
dc.source.bitstream archive/lib.dr.iastate.edu/math_pubs/20/2000_EvansJW_OrderingPercolationTransitions.pdf|||Fri Jan 14 22:17:38 UTC 2022
dc.source.uri 10.1103/PhysRevB.62.2134
dc.subject.disciplines Biological and Chemical Physics
dc.subject.disciplines Mathematics
dc.title Ordering and percolation transitions for hard squares: Equilibrium versus nonequilibrium models for adsorbed layers with c(2X2) superlattice ordering
dc.type article
dc.type.genre article
dspace.entity.type Publication
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relation.isOrgUnitOfPublication 82295b2b-0f85-4929-9659-075c93e82c48
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