Dynamic behavior of cluster observables for the 2d Ising model

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dc.contributor.authorWanzeller, Wanderson G. [UNESP]
dc.contributor.authorMendes, Tereza
dc.contributor.authorKrein, Gastão [UNESP]
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniversidade de São Paulo (USP)
dc.date.accessioned2014-05-27T11:22:01Z
dc.date.available2014-05-27T11:22:01Z
dc.date.issued2006-10-30
dc.description.abstractWe present results of our numerical study of the critical dynamics of percolation observables for the two-dimensional Ising model. We consider the (Monte Carlo) short-time evolution of the system with small initial magnetization and heat-bath dynamics. We find qualitatively different dynamic behaviors for the magnetization M and for Ω, the so-called strength of the percolating cluster, which is the order parameter of the percolation transition. More precisely, we obtain a (leading) exponential form for Ω as a function of the Monte Carlo time t, to be compared with the power-law increase encountered for M at short times. Our results suggest that, although the descriptions in terms of magnetic or percolation order parameters may be equivalent in the equilibrium regime, greater care must be taken to interpret percolation observables at short times.en
dc.description.affiliationInstituto de Física Teórica Universidade Estadual Paulista, Rua Pamplona 145, 01405-900, São Paulo, SP
dc.description.affiliationInstituto de Física de São Carlos Universidade de São Paulo, C. P. 369, 13560-970, São Carlos, SP
dc.description.affiliationUnespInstituto de Física Teórica Universidade Estadual Paulista, Rua Pamplona 145, 01405-900, São Paulo, SP
dc.format.extent657-659
dc.identifierhttp://dx.doi.org/10.1590/S0103-97332006000500014
dc.identifier.citationBrazilian Journal of Physics, v. 36, n. 3 A, p. 657-659, 2006.
dc.identifier.doi10.1590/S0103-97332006000500014
dc.identifier.file2-s2.0-33750246104.pdf
dc.identifier.issn0103-9733
dc.identifier.scieloS0103-97332006000500014
dc.identifier.scopus2-s2.0-33750246104
dc.identifier.urihttp://hdl.handle.net/11449/69182
dc.identifier.wosWOS:000241151000014
dc.language.isoeng
dc.relation.ispartofBrazilian Journal of Physics
dc.relation.ispartofjcr1.082
dc.relation.ispartofsjr0,276
dc.rights.accessRightsAcesso aberto
dc.sourceScopus
dc.subjectCritical short-time dynamics
dc.subjectIsing model
dc.subjectPercolation
dc.titleDynamic behavior of cluster observables for the 2d Ising modelen
dc.typeTrabalho apresentado em evento
dcterms.licensehttp://www.scielo.br/revistas/bjp/paboutj.htm
unesp.campusUniversidade Estadual Paulista (Unesp), Instituto de Física Teórica (IFT), São Paulopt

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