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Ising model on the edge-dual of random networks

Ramezanpour, A ; Sharif University of Technology | 2004

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  1. Type of Document: Article
  2. DOI: 10.1103/PhysRevE.69.066114
  3. Publisher: 2004
  4. Abstract:
  5. The Ising model with nearest-neighbor interactions on the edge dual of uncorrelated random networks was discussed. It was found that in the thermodynamic limit, the networks have a finite clustering. Low- and high-temperature expansions of Ising model on the edge dual of random networks were derived. A comparison of the critical behavior of Ising model on scale free random networks and their edge dual was performed. A simple relation was given between the partition function of an Ising model with nearest- and next-nearest-neighbor interactions on a tree like network and its edge dual
  6. Keywords:
  7. Correlation method ; Trees (mathematics) ; Recursive functions ; Problem solving ; Phase transitions ; Low temperature effects ; Free energy ; High temperature ; Integral equations ; Integration ; Entropy
  8. Source: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics ; Volume 69, Issue 6 2 , 2004 , Pages 066114-1-066114-10 ; 15393755 (ISSN)
  9. URL: https://journals.aps.org/pre/abstract/10.1103/PhysRevE.69.066114