Thermodynamic versus Topological Phase Transitions: Cusp in the Kertész Line
| dc.creator | Blanchard, Philippe | |
| dc.creator | Gandolfo, Daniel | |
| dc.creator | Ruiz, Jean | |
| dc.creator | Wouts, Marc | |
| dc.date | 2008-03-13 | |
| dc.date | 2008-09-02 | |
| dc.date.accessioned | 2026-07-07T09:59:34Z | |
| dc.date.available | 2026-07-07T09:59:34Z | |
| dc.description | We present a study of phase transitions of the Curie--Weiss Potts model at (inverse) temperature $β$, in presence of an external field $h$. Both thermodynamic and topological aspects of these transitions are considered. For the first aspect we complement previous results and give an explicit equation of the thermodynamic transition line in the $β$--$h$ plane as well as the magnitude of the jump of the magnetization (for $q \geqslant 3)$. The signature of the latter aspect is characterized here by the presence or not of a giant component in the clusters of a Fortuin--Kasteleyn type representation of the model. We give the equation of the Kertész line separating (in the $β$--$h$ plane) the two behaviours. As a result, we get that this line exhibits, as soon as $q \geqslant 3$, a very interesting cusp where it separates from the thermodynamic transition line. | |
| dc.identifier | https://arxiv.org/abs/0803.1921 | |
| dc.identifier | http://arxiv.org/abs/0803.1921 | |
| dc.identifier | J Math Phys 82 (2008) 50003 | |
| dc.identifier | doi:10.1209/0295-5075/82/50003 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/168065 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Thermodynamic versus Topological Phase Transitions: Cusp in the Kertész Line | |
| dc.type | text |