|
| | | | |
| | | |
| Stat |
Members: 3645
Articles: 2'501'711
Articles rated: 2609
19 April 2024 |
|
| | | | |
|
Article overview
| |
|
|
Phase transitions in the Potts model on complex networks | | M. Krasnytska
; B. Berche
; Yu. Holovatch
; | | Date: |
14 Feb 2013 | | Abstract: | The Potts model is one of the most popular spin models of statistical
physics. Prevailing majority of the work done so far corresponds to the lattice
version of the model. However, many natural or man-made systems are much better
described by the topology of a network. We consider the q-state Potts model on
an uncorrelated scale-free network for which the node-degree distribution
manifests a power-law decay governed by the exponent lambda. We work within
the mean-field approximation, since for systems on random uncorrelated
scale-free networks this method is known often to give asymptotically exact
results. Depending on particular values of q and lambda one observes either a
first-order or a second-order phase transition or the system is ordered at any
finite temperature. In a case study, we consider the limit q=1 (percolation)
and find a correspondence between the magnetic exponents and those describing
percolation on a scale-free network. Interestingly, logarithmic corrections to
scaling appear at lambda=4 in this case. | | Source: | arXiv, 1302.3386 | | 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