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

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dc.creatorSanchez, Angel
dc.creatorBishop, A. R.
dc.creatorMoro, Esteban
dc.date2000-03-10
dc.date2000-06-05
dc.date.accessioned2026-07-07T12:16:32Z
dc.date.available2026-07-07T12:16:32Z
dc.descriptionWe 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 superroughening 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.description15 pages, 12 figures, reworded, shortened version, same basic results, two new references, accepted for publication in Physical Review E
dc.identifierhttps://arxiv.org/abs/cond-mat/0003171
dc.identifierhttp://arxiv.org/abs/cond-mat/0003171
dc.identifierPhys.Rev.E62:3219-3229,2000
dc.identifierdoi:10.1103/PhysRevE.62.3219
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/211833
dc.subjectStatistical Mechanics
dc.subjectDisordered Systems and Neural Networks
dc.subjectMaterials Science
dc.subjectPattern Formation and Solitons
dc.titleRoughening and superroughening in the ordered and random two-dimensional sine-Gordon models
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