| 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 |
|