Multirange Ising model on the square lattice

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dc.creatorCharles Souza do Amaral
dc.creatorBernardo Nunes Borges de Lima
dc.creatorRonald Dickman
dc.creatorAllbens Atman Picardi Faria
dc.date.accessioned2022-05-18T19:16:05Z
dc.date.accessioned2025-09-09T00:41:46Z
dc.date.available2022-05-18T19:16:05Z
dc.date.issued2020-05-26
dc.description.sponsorshipCNPq - Conselho Nacional de Desenvolvimento Científico e Tecnológico
dc.description.sponsorshipFAPEMIG - Fundação de Amparo à Pesquisa do Estado de Minas Gerais
dc.description.sponsorshipCAPES - Coordenação de Aperfeiçoamento de Pessoal de Nível Superior
dc.identifier.doihttps://doi.org/10.1103/PhysRevE.101.052138
dc.identifier.issn2470-0053
dc.identifier.urihttps://hdl.handle.net/1843/41804
dc.languageeng
dc.publisherUniversidade Federal de Minas Gerais
dc.relation.ispartofPhysical Review E
dc.rightsAcesso Restrito
dc.subjectProbabilidade
dc.subjectEstatística
dc.subjectIsing model
dc.subject.otherMecânica Estatística
dc.subject.otherIsing model
dc.titleMultirange Ising model on the square lattice
dc.typeArtigo de periódico
local.citation.epage052138-5
local.citation.issue5
local.citation.spage052138-1
local.citation.volume101
local.description.resumoWe study the Ising model on the square lattice (Z2) and show, via numerical simulation, that allowing interactions between spins separated by distances 1 and m (two ranges), the critical temperature, Tc (m), converges monotonically to the critical temperature of the Ising model on Z4 as m→∞. Only interactions between spins located in directions parallel to each coordinate axis are considered. We also simulated the model with interactions between spins at distances of 1, m, and u (three ranges), with u a multiple of m; in this case our results indicate that Tc (m, u) converges to the critical temperature of the model on Z6. For percolation, analogous results were proven for the critical probability pc.
local.identifier.orcidhttps://orcid.org/0000-0002-3584-7098
local.identifier.orcidhttps://orcid.org/0000-0003-2378-9393
local.identifier.orcidhttps://orcid.org/0000-0002-7614-2721
local.publisher.countryBrasil
local.publisher.departmentICX - DEPARTAMENTO DE FÍSICA
local.publisher.departmentICX - DEPARTAMENTO DE MATEMÁTICA
local.publisher.initialsUFMG
local.url.externahttps://journals.aps.org/pre/abstract/10.1103/PhysRevE.101.052138

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