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Apparent phase transitions in finite one-dimensional sine-Gordon lattices

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dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Interdisciplinar de Sistemas Complejos (GISC)es
dc.contributor.authorAres, Saúl
dc.contributor.authorCuesta, José A.
dc.contributor.authorSánchez, Angel
dc.contributor.authorToral, Raúl
dc.date.accessioned2012-07-19T11:46:52Z
dc.date.available2012-07-19T11:46:52Z
dc.date.issued2003
dc.description.abstractWe study the one-dimensional sine-Gordon model as a prototype of roughening phenomena. In spite of the fact that it has been recently proven that this model cannot have any phase transition @J. A. Cuesta and A. Sánchez, J. Phys. A 35, 2373 (2002), Langevin as well as Monte Carlo simulations strongly suggest the existence of a finite temperature separating a flat from a rough phase. We explain this result by means of the transfer operator formalism and show as a consequence that sine-Gordon lattices of any practically achievable size will exhibit this apparent phase transition at unexpectedly large temperatures.
dc.description.sponsorshipThis work was supported by the Ministerio de Ciencia y Tecnología of Spain and FEDER through Grant Nos. BFM2000-0004 (J.A.C.), BFM2000-0006 (S.A. and A.S.), BFM2001- 0341-C02-01, and BFM2000-1108 (R.T.).
dc.description.statusPublicado
dc.format.mimetypeapplication/pdf
dc.identifier.bibliographicCitationPhysical Review E, vol. 67, n. 4, 2003. Pp. 461081-461086
dc.identifier.doi10.1103/PhysRevE.67.046108
dc.identifier.issn1539-3755 (print version)
dc.identifier.issn1550-2376 (online version)
dc.identifier.publicationfirstpage461081
dc.identifier.publicationissuen. 4
dc.identifier.publicationlastpage461086
dc.identifier.publicationtitlePhysical Review E
dc.identifier.publicationvolumevol. 67
dc.identifier.urihttps://hdl.handle.net/10016/14950
dc.language.isoeng
dc.publisherAmerican Physical Society
dc.relation.publisherversionhttp://dx.doi.org10.1103/PhysRevE.67.046108
dc.rights© American Physical Society
dc.rights.accessRightsopen access
dc.subject.ecienciaMatemáticas
dc.titleApparent phase transitions in finite one-dimensional sine-Gordon lattices
dc.typeresearch article*
dc.type.hasVersionVoR*
dspace.entity.typePublication
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