We present a sufficient condition for the presence of spontaneous magnetization for the Ising model on a general graph, related to its long-range topology. Applying this condition we are able to prove the existence of a phase transition at temperature T0 on a wide class of general networks. The possibility of further extensions of our results is discussed.
Generalization of the Peierls-Griffiths theorem for the Ising model on graphs / Campari, Riccardo; Cassi, Davide. - In: PHYSICAL REVIEW E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS. - ISSN 1539-3755. - 81:(2010), pp. 021108-1-021108-6. [10.1103/PhysRevE.81.021108]
Generalization of the Peierls-Griffiths theorem for the Ising model on graphs
CAMPARI, Riccardo;CASSI, Davide
2010-01-01
Abstract
We present a sufficient condition for the presence of spontaneous magnetization for the Ising model on a general graph, related to its long-range topology. Applying this condition we are able to prove the existence of a phase transition at temperature T0 on a wide class of general networks. The possibility of further extensions of our results is discussed.| File | Dimensione | Formato | |
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