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The Scaling Limit for Zero-Temperature Planar Ising Droplets: With and Without Magnetic Fields

hal.structure.identifier
dc.contributor.authorLacoin, Hubert
dc.date.accessioned2017-03-18T10:42:58Z
dc.date.available2017-03-18T10:42:58Z
dc.date.issued2014
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/16390
dc.descriptionSpringer Proceedings in Mathematics & Statistics, vol 69en
dc.language.isoenen
dc.subjectheat-bath dynamicsen
dc.subjectIsing modelen
dc.subject.ddc520en
dc.titleThe Scaling Limit for Zero-Temperature Planar Ising Droplets: With and Without Magnetic Fieldsen
dc.typeChapitre d'ouvrage
dc.description.abstractenWe consider the continuous time, zero-temperature heat-bath dynamics for the nearest-neighbor Ising model on Z2 with positive magnetic field. For a system of size L∈N, we start with initial condition σ such that σx=−1 if x∈[−L,L]2 and σx=+1 and investigate the scaling limit of the set of • spins when both time and space are rescaled by L. We compare the obtained result and its proof with the case of zero-magnetic fields, for which a scaling result was proved by Lacoin et al. (J Eur Math Soc, in press). In that case, the time-scaling is diffusive and the scaling limit is given by anisotropic motion by curvature.en
dc.identifier.citationpages85-120en
dc.relation.ispartoftitleTopics in Percolative and Disordered Systemsen
dc.relation.ispartofeditorRamírez, Alejandro F.
dc.relation.ispartofeditorBen Arous, Gérard
dc.relation.ispartofeditorFerrari, Pablo A.
dc.relation.ispartofeditorNewman, Charles M.
dc.relation.ispartofeditorSidoravicius, Vladas
dc.relation.ispartofeditorVares, Maria Eulália
dc.relation.ispartofpublnameSpringeren
dc.relation.ispartofpublcityNew Yorken
dc.relation.ispartofdate2014
dc.relation.ispartofurl10.1007/978-1-4939-0339-9en
dc.identifier.urlsitehttps://arxiv.org/abs/1210.2597v1en
dc.subject.ddclabelSciences connexes (physique, astrophysique)en
dc.relation.ispartofisbn978-1-4939-0338-2en
dc.relation.forthcomingnonen
dc.identifier.doi10.1007/978-1-4939-0339-9_4en
dc.description.ssrncandidatenonen
dc.description.halcandidatenonen
dc.description.readershiprechercheen
dc.description.audienceInternationalen
dc.date.updated2017-03-10T15:58:27Z
hal.author.functionaut


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