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| dc.creator | Espriu, D. (Domènec) | |
| dc.creator | Prats Ferrer, Aleix | |
| dc.date | 2011-07-07T12:51:22Z | |
| dc.date | 2011-07-07T12:51:22Z | |
| dc.date | 2004 | |
| dc.date.accessioned | 2024-12-16T10:27:20Z | |
| dc.date.available | 2024-12-16T10:27:20Z | |
| dc.identifier | 1539-3755 | |
| dc.identifier | http://hdl.handle.net/2445/18724 | |
| dc.identifier | 524280 | |
| dc.identifier.uri | http://fima-docencia.ub.edu:8080/xmlui/handle/123456789/22272 | |
| dc.description | 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. | |
| dc.format | 11 p. | |
| dc.format | application/pdf | |
| dc.language | eng | |
| dc.publisher | The American Physical Society | |
| dc.relation | Reproducció digital del document publicat en format paper, proporcionada per PROLA i http://dx.doi.org/10.1103/PhysRevE.70.046117 | |
| dc.relation | Physical Review E, 2004, vol. 70, núm. 4, p. 046117 | |
| dc.relation | http://dx.doi.org/10.1103/PhysRevE.70.046117 | |
| dc.rights | (c) The American Physical Society, 2004 | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.source | Articles publicats en revistes (Física Quàntica i Astrofísica) | |
| dc.subject | Física estadística | |
| dc.subject | Termodinàmica | |
| dc.subject | Sistemes dinàmics diferenciables | |
| dc.subject | Propietats magnètiques | |
| dc.subject | Statistical physics | |
| dc.subject | Thermodynamics | |
| dc.subject | Differentiable dynamical systems | |
| dc.subject | Magnetic properties | |
| dc.title | Dynamics of the two-dimensional gonihedric spin model | |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:eu-repo/semantics/publishedVersion |
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