On thermodynamic states of the Ising model on scale-free graphs
There is proposed a model of scale-free random graphs which are locally close to the uncorrelated complex random networks with divergent <k<sup>2</sup>> studied in, e.g., S. N. Dorogovtsev et al, Rev. Mod. Phys., 80, 1275 (2008). It is shown that the Ising model on the proposed gra...
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Institute for Condensed Matter Physics
2013-06-01
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| Series: | Condensed Matter Physics |
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| Online Access: | http://dx.doi.org/10.5488/CMP.16.23001 |
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doaj-256c576851b54b9c9c89c19814113d3c2020-11-24T23:10:15ZengInstitute for Condensed Matter PhysicsCondensed Matter Physics1607-324X2013-06-011622300110.5488/CMP.16.23001 On thermodynamic states of the Ising model on scale-free graphsYu. KozitskyThere is proposed a model of scale-free random graphs which are locally close to the uncorrelated complex random networks with divergent <k<sup>2</sup>> studied in, e.g., S. N. Dorogovtsev et al, Rev. Mod. Phys., 80, 1275 (2008). It is shown that the Ising model on the proposed graphs with interaction intensities of arbitrary signs with probability one is in a paramagnetic state at sufficiently high finite values of the temperature. For the same graphs, the bond percolation model with probability one is in a nonpercolative state for positive values of the percolation probability. These results and their possible extensions are also discussed.http://dx.doi.org/10.5488/CMP.16.23001 random graphsparamagnetic phasepercolationbranching process |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Yu. Kozitsky |
| spellingShingle |
Yu. Kozitsky On thermodynamic states of the Ising model on scale-free graphs Condensed Matter Physics random graphs paramagnetic phase percolation branching process |
| author_facet |
Yu. Kozitsky |
| author_sort |
Yu. Kozitsky |
| title |
On thermodynamic states of the Ising model on scale-free graphs |
| title_short |
On thermodynamic states of the Ising model on scale-free graphs |
| title_full |
On thermodynamic states of the Ising model on scale-free graphs |
| title_fullStr |
On thermodynamic states of the Ising model on scale-free graphs |
| title_full_unstemmed |
On thermodynamic states of the Ising model on scale-free graphs |
| title_sort |
on thermodynamic states of the ising model on scale-free graphs |
| publisher |
Institute for Condensed Matter Physics |
| series |
Condensed Matter Physics |
| issn |
1607-324X |
| publishDate |
2013-06-01 |
| description |
There is proposed a model of scale-free random graphs which are locally close to the uncorrelated complex random networks with divergent <k<sup>2</sup>> studied in, e.g., S. N. Dorogovtsev et al, Rev. Mod. Phys., 80, 1275 (2008). It is shown that the Ising model on the proposed graphs with interaction intensities of arbitrary signs with probability one is in a paramagnetic state at sufficiently high finite values of the temperature. For the same graphs, the bond percolation model with probability one is in a nonpercolative state for positive values of the percolation probability. These results and their possible extensions are also discussed. |
| topic |
random graphs paramagnetic phase percolation branching process |
| url |
http://dx.doi.org/10.5488/CMP.16.23001 |
| work_keys_str_mv |
AT yukozitsky onthermodynamicstatesoftheisingmodelonscalefreegraphs |
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1725608051558318080 |