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dc.contributor.authorEspriu, D. (Domènec)cat
dc.contributor.authorPrats Ferrer, Aleixcat
dc.description.abstractIn this paper, we study dynamical aspects of the two-dimensional (2D) gonihedric spin model using both numerical and analytical methods. This spin model has vanishing microscopic surface tension and it actually describes an ensemble of loops living on a 2D surface. The self-avoidance of loops is parametrized by a parameter ¿. The ¿=0 model can be mapped to one of the six-vertex models discussed by Baxter, and it does not have critical behavior. We have found that allowing for ¿¿0 does not lead to critical behavior either. Finite-size effects are rather severe, and in order to understand these effects, a finite-volume calculation for non-self-avoiding loops is presented. This model, like his 3D counterpart, exhibits very slow dynamics, but a careful analysis of dynamical observables reveals nonglassy evolution (unlike its 3D counterpart). We find, also in this ¿=0 case, the law that governs the long-time, low-temperature evolution of the system, through a dual description in terms of defects. A power, rather than logarithmic, law for the approach to equilibrium has been found.eng
dc.format.extent11 p.-
dc.publisherThe American Physical Societyeng
dc.relation.isformatofReproducció digital del document publicat en format paper, proporcionada per PROLA i
dc.relation.ispartofPhysical Review E, 2004, vol. 70, núm. 4, p. 046117eng
dc.rights(c) The American Physical Society, 2004eng
dc.sourceArticles publicats en revistes (Física Quàntica i Astrofísica)-
dc.subject.classificationFísica estadísticacat
dc.subject.classificationSistemes dinàmics diferenciablescat
dc.subject.classificationPropietats magnètiquescat
dc.subject.otherStatistical physicseng
dc.subject.otherDifferentiable dynamical systemseng
dc.subject.otherMagnetic propertieseng
dc.titleDynamics of the two-dimensional gonihedric spin modeleng
Appears in Collections:Articles publicats en revistes (Física Quàntica i Astrofísica)

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