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Roughening and super-roughening in the ordered and random two-dimensional sine-Gordon models

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dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Interdisciplinar de Sistemas Complejos (GISC)es
dc.contributor.authorSánchez, Angel
dc.contributor.authorBishop, Alan R.
dc.contributor.authorMoro, Esteban
dc.date.accessioned2012-07-19T08:43:53Z
dc.date.available2012-07-19T08:43:53Z
dc.date.issued2000-09
dc.description.abstractWe present a comparative numerical study of the ordered and the random two-dimensional sine-Gordon models on a lattice. We analytically compute the main features of the expected high-temperature phase of both models, described by the Edwards-Wilkinson equation. We then use those results to locate the transition temperatures of both models in our Langevin dynamics simulations. We show that our results reconcile previous contradictory numerical works concerning the super-roughening transition in the random sine-Gordon model. We also find evidence supporting the existence of two different low-temperature phases for the disordered model. We discuss our results in view of the different analytical predictions available and comment on the nature of these two putative phases.
dc.description.statusPublicado
dc.format.mimetypeapplication/pdf
dc.identifier.bibliographicCitationPhysical Review E, vol. 62, n.3, september 2000. Pp. 3219–3229
dc.identifier.doi10.1103/PhysRevE.62.3219
dc.identifier.issn1539-3755 (print version)
dc.identifier.issn1550-2376 (online version)
dc.identifier.publicationfirstpage3219
dc.identifier.publicationissuen.3
dc.identifier.publicationlastpage3229
dc.identifier.publicationtitlePhysical Review E
dc.identifier.publicationvolumevol. 62
dc.identifier.urihttp://hdl.handle.net/10016/14946
dc.language.isoeng
dc.publisherAmerican Physical Society
dc.relation.publisherversionhttp://dx.doi.org/10.1103/PhysRevE.62.3219
dc.rights© American Physical Society
dc.rights.accessRightsopen access
dc.subject.ecienciaMatemáticas
dc.titleRoughening and super-roughening in the ordered and random two-dimensional sine-Gordon models
dc.typeresearch article*
dc.type.hasVersionVoR*
dspace.entity.typePublication
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