Universal behavior in the static and dynamic properties of the $α$-XY model
| dc.creator | Giansanti, Andrea | |
| dc.creator | Moroni, Daniele | |
| dc.creator | Campa, Alessandro | |
| dc.date | 2000-07-26 | |
| dc.date | 2000-11-08 | |
| dc.date.accessioned | 2026-07-07T02:38:19Z | |
| dc.date.available | 2026-07-07T02:38:19Z | |
| dc.description | The $α$-XY model generalizes, through the introduction of a power-law decaying potential, a well studied mean-field hamiltonian model with attractive long-range interactions. In the $α$-model, the interaction between classical rotators on a lattice is gauged by the exponent $α$ in the couplings decaying as $r^α$, where $r$ are distances between sites. We review and comment here a few recent results on the static and dynamic properties of the $α$-model. We discuss the appropriate $α$ dependent rescalings that map the canonical thermodynamics of the $α$-model into that of the mean field model. We also show that the chaotic properties of the model, studied as a function of $α$ display an universal behaviour. | |
| dc.description | 23 pages, REVTEX 9 eps figures included. Talk presented at the Int. Conf. on "Classical and Quantum Complexity and Nonextensive Thermodynamics", Denton (Texas) April 3-6 2000 Revised version, accepted for publication in Chaos Solitons and Fractals | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0007422 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0007422 | |
| dc.identifier | Chaos, Solitons and Fractals 13, 407 (2002) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/16627 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Universal behavior in the static and dynamic properties of the $α$-XY model | |
| dc.type | text |