Phys. Rev. E 66, 016104 (2002) [5 pages]Ising model on networks with an arbitrary distribution of connectionsReceived 10 March 2002; published 8 July 2002 We find the exact critical temperature Tc of the nearest-neighbor ferromagnetic Ising model on an “equilibrium” random graph with an arbitrary degree distribution P(k). We observe an anomalous behavior of the magnetization, magnetic susceptibility and specific heat, when P(k) is fat tailed, or, loosely speaking, when the fourth moment of the distribution diverges in infinite networks. When the second moment becomes divergent, Tc approaches infinity, the phase transition is of infinite order, and size effect is anomalously strong. © 2002 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.66.016104
DOI:
10.1103/PhysRevE.66.016104
PACS:
05.50.+q, 05.10.-a, 05.40.-a, 87.18.Sn
|
|
About | Terms and Conditions | Subscriptions | Search | Help
Use of the American Physical Society websites and journals implies that the user has read and agrees to our Terms and Conditions and any applicable Subscription Agreement. Physical Review®, Physical Review Letters®, Reviews of Modern Physics®, and Physical Review Special Topics® are trademarks of the American Physical Society.