Reexamination of the long-range Potts model: a multicanonical approach
| dc.creator | Reynal, Sylvain | |
| dc.creator | Diep, Hung-The | |
| dc.date | 2003-06-19 | |
| dc.date | 2004-04-17 | |
| dc.date.accessioned | 2026-07-07T02:51:55Z | |
| dc.date.available | 2026-07-07T02:51:55Z | |
| dc.description | We investigate the critical behavior of the one-dimensional q-state Potts model with long-range (LR) interaction $1/r^{d+σ}$, using a multicanonical algorithm. The recursion scheme initially proposed by Berg is improved so as to make it suitable for a large class of LR models with unequally spaced energy levels. The choice of an efficient predictor and a reliable convergence criterion is discussed. We obtain transition temperatures in the first-order regime which are in far better agreement with mean-field predictions than in previous Monte Carlo studies. By relying on the location of spinodal points and resorting to scaling arguments, we determine the threshold value $σ_c(q)$ separating the first- and second-order regimes to two-digit precision within the range $3 \leq q \leq 9$. We offer convincing numerical evidence supporting $σ_c(q) | |
| dc.description | 18 pages, 18 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0306493 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0306493 | |
| dc.identifier | Physical Review E 69 (2004) 026109 | |
| dc.identifier | doi:10.1103/PhysRevE.69.026109 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/21652 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Reexamination of the long-range Potts model: a multicanonical approach | |
| dc.type | text |