|
| | | | |
| | | |
| Stat |
Members: 3645
Articles: 2'504'928
Articles rated: 2609
25 April 2024 |
|
| | | | |
|
Article overview
| |
|
|
The Information Geometry of the Ising Model on Planar Random Graphs | | W. Janke
; D.A. Johnston
; Ranasinghe P. K. C. Malmini
; | | Date: |
24 Jul 2002 | | Journal: | Phys.Rev. E66 (2002) 056119 | | Subject: | Statistical Mechanics | cond-mat.stat-mech hep-lat | | Abstract: | It has been suggested that an information geometric view of statistical mechanics in which a metric is introduced onto the space of parameters provides an interesting alternative characterisation of the phase structure, particularly in the case where there are two such parameters -- such as the Ising model with inverse temperature $eta$ and external field $h$. In various two parameter calculable models the scalar curvature ${cal R}$ of the information metric has been found to diverge at the phase transition point $eta_c$ and a plausible scaling relation postulated: ${cal R} sim |eta- eta_c|^{alpha - 2}$. For spin models the necessity of calculating in non-zero field has limited analytic consideration to 1D, mean-field and Bethe lattice Ising models. In this letter we use the solution in field of the Ising model on an ensemble of planar random graphs (where $alpha=-1, eta=1/2, gamma=2$) to evaluate the scaling behaviour of the scalar curvature, and find ${cal R} sim | eta- eta_c |^{-2}$. The apparent discrepancy is traced back to the effect of a negative $alpha$. | | Source: | arXiv, cond-mat/0207573 | | Services: | Forum | Review | PDF | Favorites | |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)
|
| |
|
|
|
|
News, job offers and information for researchers and scientists:
| |
REGISTER