Geometry and Thermodynamic Fluctuations of the Ising Model on a Bethe Lattice
| dc.creator | Dolan, Brian P. | |
| dc.date | 1997-06-24 | |
| dc.date.accessioned | 2026-07-07T09:11:52Z | |
| dc.date.available | 2026-07-07T09:11:52Z | |
| dc.description | A metric is introduced on the two dimensional space of parameters describing the Ising model on a Bethe lattice of co-ordination number q. The geometry associated with this metric is analysed and it is shown that the Gaussian curvature diverges at the critical point. For the special case q=2 the curvature reduces to an already known result for the one dimensional Ising model. The Gaussian curvature is also calculated for a general ferro-magnet near its critical point, generalising a previous result for t>0. The general expression near a critical point is compared with the specific case of the Bethe lattice and a subtlety, associated with the fact that the specific heat exponent for the Bethe lattice vanishes, is resolved. | |
| dc.description | 11 pages Plain TeX, 2 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9706238 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9706238 | |
| dc.identifier | Proc.Roy.Soc.Lond. A454 (1998) 2655 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/151831 | |
| dc.subject | Statistical Mechanics | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Geometry and Thermodynamic Fluctuations of the Ising Model on a Bethe Lattice | |
| dc.type | text |