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

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dc.contributor.author Sánchez, Angel
dc.contributor.author Bishop, Alan R.
dc.contributor.author Moro, Esteban
dc.date.accessioned 2012-07-19T08:43:53Z
dc.date.available 2012-07-19T08:43:53Z
dc.date.issued 2000-09
dc.identifier.bibliographicCitation Physical Review E, vol. 62, n.3, september 2000. Pp. 3219–3229
dc.identifier.issn 1539-3755 (print version)
dc.identifier.issn 1550-2376 (online version)
dc.identifier.uri http://hdl.handle.net/10016/14946
dc.description.abstract We 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.format.mimetype application/pdf
dc.language.iso eng
dc.publisher American Physical Society
dc.rights © American Physical Society
dc.title Roughening and super-roughening in the ordered and random two-dimensional sine-Gordon models
dc.type article
dc.description.status Publicado
dc.relation.publisherversion http://dx.doi.org/10.1103/PhysRevE.62.3219
dc.subject.eciencia Matemáticas
dc.identifier.doi 10.1103/PhysRevE.62.3219
dc.rights.accessRights openAccess
dc.type.version publishedVersion
dc.identifier.publicationfirstpage 3219
dc.identifier.publicationissue n.3
dc.identifier.publicationlastpage 3229
dc.identifier.publicationtitle Physical Review E
dc.identifier.publicationvolume vol. 62
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