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Dynamics of the two-dimensional gonihedric spin model Espriu, D. (Domènec) Prats Ferrer, Aleix Física estadística Termodinàmica Sistemes dinàmics diferenciables Propietats magnètiques Statistical physics Thermodynamics Differentiable dynamical systems Magnetic properties In 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. 2011-07-07T12:51:22Z 2011-07-07T12:51:22Z 2004 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Reproducció digital del document publicat en format paper, proporcionada per PROLA i http://dx.doi.org/10.1103/PhysRevE.70.046117 Physical Review E, 2004, vol. 70, núm. 4, p. 046117 http://dx.doi.org/10.1103/PhysRevE.70.046117 (c) The American Physical Society, 2004 info:eu-repo/semantics/openAccess The American Physical Society Articles publicats en revistes (Física Quàntica i Astrofísica)