Determination of the exponent gamma for SAWs on the two-dimensional Manhattan lattice
| dc.creator | Caracciolo, Sergio | |
| dc.creator | Causo, Maria Serena | |
| dc.creator | Grassberger, Peter | |
| dc.creator | Pelissetto, Andrea | |
| dc.date | 1998-12-16 | |
| dc.date.accessioned | 2026-07-07T10:51:43Z | |
| dc.date.available | 2026-07-07T10:51:43Z | |
| dc.description | We present a high-statistics Monte Carlo determination of the exponent gamma for self-avoiding walks on a Manhattan lattice in two dimensions. A conservative estimate is $γ\gtapprox 1.3425(3)$, in agreement with the universal value 43/32 on regular lattices, but in conflict with predictions from conformal field theory and with a recent estimate from exact enumerations. We find strong corrections to scaling that seem to indicate the presence of a non-analytic exponent Delta < 1. If we assume Delta = 11/16 we find gamma = 1.3436(3), where the error is purely statistical. | |
| dc.description | 24 pages, LaTeX2e, 4 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9812267 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9812267 | |
| dc.identifier | J.Phys.A32:2931-2948,1999 | |
| dc.identifier | doi:10.1088/0305-4470/32/16/004 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/184914 | |
| dc.subject | Statistical Mechanics | |
| dc.subject | High Energy Physics - Lattice | |
| dc.title | Determination of the exponent gamma for SAWs on the two-dimensional Manhattan lattice | |
| dc.type | text |