Finite size scaling in the 2D XY-model and generalized universality
| dc.creator | Palma, G. | |
| dc.creator | Meyer, T. | |
| dc.creator | Labbé, R. | |
| dc.date | 2000-07-18 | |
| dc.date | 2000-10-06 | |
| dc.date.accessioned | 2026-07-07T12:16:33Z | |
| dc.date.available | 2026-07-07T12:16:33Z | |
| dc.description | In recent works (BHP), a generalized universality has been proposed, linking phenomena as dissimilar as 2D magnetism and turbulence. To test these ideas, we performed a MC study of the 2D XY-model. We found that the shape of the probability distribution function for the magnetization M is non Gaussian and independent of the system size --in the range of the lattice sizes studied-- below the Kosterlitz-Thoules temperature. However, the shape of these distributions does depend on the temperature, contrarily to the BHP's claim. This behavior is successfully explained by using an extended finite-size scaling analysis and the existence of bounds for M. | |
| dc.description | 7 pages, 5 figures. Submitted to Phys. Rev. Lett. Details of changes: 1. We emphasized in the abstract the range of validity of our results. 2. In the last paragraph the temperature dependence of the PDF was slightly re-formulated | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0007289 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0007289 | |
| dc.identifier | Phys.Rev.E66:026108,2002 | |
| dc.identifier | doi:10.1103/PhysRevE.66.026108 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/211836 | |
| dc.subject | Statistical Mechanics | |
| dc.subject | High Energy Physics - Lattice | |
| dc.title | Finite size scaling in the 2D XY-model and generalized universality | |
| dc.type | text |