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dc.contributor.authorBraides, Andrea
dc.contributor.authorCausin, Andrea
dc.contributor.authorPiatnitski, Andrey
dc.contributor.authorSolci, Margherita
dc.date.accessioned2019-03-18T08:31:58Z
dc.date.available2019-03-18T08:31:58Z
dc.date.issued2018-04-30
dc.description.abstractWe consider randomly distributed mixtures of bonds of ferromagnetic and antiferromagnetic type in a two-dimensional square lattice with probability 1−p 1−p and p, respectively, according to an i.i.d. random variable. We study minimizers of the corresponding nearest-neighbour spin energy on large domains in Z 2 Z2 . We prove that there exists p 0 p0 such that for p≤ p 0 p≤p0 such minimizers are characterized by a majority phase; i.e., they take identically the value 1 or −1 −1 except for small disconnected sets. A deterministic analogue is also proved.en_US
dc.descriptionAccepted manuscript version, 12 months embargo. Published version at: <a href=https://doi.org/10.1007/s10955-018-2051-8>https://doi.org/10.1007/s10955-018-2051-8</a>en_US
dc.identifier.citationBraides A., Causin,A., Piatnitski, A, Solci, M.(2018) Asymptotic Behaviour of Ground States for Mixtures of Ferromagnetic and Antiferromagnetic Interactions in a Dilute Regime.<i> Journal of statistical physics,171</i>(6),1096-1111. https://doi.org/10.1007/s10955-018-2051-8en_US
dc.identifier.cristinIDFRIDAID 1619737
dc.identifier.doi10.1007/s10955-018-2051-8
dc.identifier.issn0022-4715
dc.identifier.issn1572-9613
dc.identifier.urihttps://hdl.handle.net/10037/14989
dc.language.isoengen_US
dc.publisherSpringer Natureen_US
dc.relation.journalJournal of statistical physics
dc.rights.accessRightsopenAccessen_US
dc.subjectVDP::Mathematics and natural science: 400::Mathematics: 410en_US
dc.subjectVDP::Matematikk og Naturvitenskap: 400::Matematikk: 410en_US
dc.titleAsymptotic Behaviour of Ground States for Mixtures of Ferromagnetic and Antiferromagnetic Interactions in a Dilute Regimeen_US
dc.typeJournal articleen_US
dc.typePeer revieweden_US


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