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|Dynamics of the two-dimensional gonihedric spin model
|Espriu, D. (Domènec)
Prats Ferrer, Aleix
Sistemes dinàmics diferenciables
Differentiable dynamical systems
|The American Physical Society
|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.
|Reproducció digital del document publicat en format paper, proporcionada per PROLA i http://dx.doi.org/10.1103/PhysRevE.70.046117
|It is part of:
|Physical Review E, 2004, vol. 70, núm. 4, p. 046117
|Appears in Collections:
|Articles publicats en revistes (Física Quàntica i Astrofísica)
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