Phase transition in the 2d random Potts model in the large-q limit
| dc.creator | d'Auriac, J-Ch. Angles | |
| dc.creator | Igloi, F. | |
| dc.date | 2002-11-25 | |
| dc.date.accessioned | 2026-07-07T02:48:21Z | |
| dc.date.available | 2026-07-07T02:48:21Z | |
| dc.description | Phase transition in the two-dimensional $q$-state Potts model with random ferromagnetic couplings in the large-q limit is conjectured to be described by the isotropic version of the infinite randomness fixed point of the random transverse-field Ising spin chain. This is supported by extensive numerical studies with a combinatorial optimization algorithm giving estimates for the critical exponents in accordance with the conjectured values: $β=(3-\sqrt{5})/4$, $β_s=1/2$ and $ν=1$. The specific heat has a logarithmic singularity, but at the transition point there are very strong sample-to-sample fluctuations. Discretized randomness results in discontinuities in the internal energy. | |
| dc.description | 4 pages 3 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0211543 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0211543 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/20369 | |
| dc.subject | Statistical Mechanics | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.title | Phase transition in the 2d random Potts model in the large-q limit | |
| dc.type | text |