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Numerical test of the Cardy-Jacobsen conjecture in the site-diluted Potts model in three dimensions

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dc.contributor.authorFernández Pérez, Luis Antonio
dc.contributor.authorGordillo Guerrero, A.
dc.contributor.authorMartín Mayor, Víctor
dc.contributor.authorRuiz Lorenzo, J.J.
dc.date.accessioned2023-06-20T04:11:42Z
dc.date.available2023-06-20T04:11:42Z
dc.date.issued2012-11-16
dc.description© 2012 American Physical Society. We have been partly supported through Research Contracts No. FIS2009-12648-C03 and No. FIS2010-16587 (MICINN), No. GR10158 (Junta de Extremadura), and No. ACCVII-08 (UEX), and by UCM-Banco de Santander. We thank Ibercivis for the equivalent of 3 × 10^(6) CPU hours. The simulations were completed in the clusters Terminus (BIFI) and Horus (U. Extremadura). We also thank N. G. Fytas for a careful reading of the manuscript.
dc.description.abstractWe present a microcanonical Monte Carlo simulation of the site-diluted Potts model in three dimensions with eight internal states, partly carried out on the citizen supercomputer Ibercivis. Upon dilution, the pure model’s first-order transition becomes of the second order at a tricritical point. We compute accurately the critical exponents at the tricritical point. As expected from the Cardy-Jacobsen conjecture, they are compatible with their random field Ising model counterpart. The conclusion is further reinforced by comparison with older data for the Potts model with four states.
dc.description.departmentDepto. de Física Teórica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipMinisterio de Ciencia e Innovación (MICINN)
dc.description.sponsorshipJunta de Extremadura, Spain
dc.description.sponsorshipUEX
dc.description.sponsorshipUCM-Banco de Santander
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/37643
dc.identifier.doi10.1103/PhysRevB.86.184428
dc.identifier.issn1098-0121
dc.identifier.officialurlhttp://doi.org/10.1103/PhysRevB.86.184428
dc.identifier.relatedurlhttp://journals.aps.org/
dc.identifier.urihttps://hdl.handle.net/20.500.14352/45028
dc.issue.number18
dc.journal.titlePhysical review B
dc.language.isoeng
dc.publisherAmerican Physical Society
dc.relation.projectIDFIS2009-12648-C03
dc.relation.projectIDFIS2010-16587
dc.relation.projectIDGR10158
dc.relation.projectIDACCVII-08
dc.rights.accessRightsopen access
dc.subject.cdu51-73
dc.subject.cdu53
dc.subject.keywordField ising-model
dc.subject.keyword1st-order phase-transitions
dc.subject.keywordAntiferromagnetic RP(2) model
dc.subject.keywordCritical-behavior
dc.subject.keywordZero-temperature
dc.subject.keywordMonte-Carlo
dc.subject.keywordEvaporation/Condensation transition
dc.subject.keywordEquilibrium droplets
dc.subject.keywordSystems
dc.subject.keywordUniversality.
dc.subject.ucmFísica (Física)
dc.subject.ucmFísica-Modelos matemáticos
dc.subject.unesco22 Física
dc.titleNumerical test of the Cardy-Jacobsen conjecture in the site-diluted Potts model in three dimensions
dc.typejournal article
dc.volume.number86
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