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Ising Model on Networks with an Arbitrary Distribution of Connections | | S.N. Dorogovtsev
; A.V. Goltsev
; J.F.F. Mendes
; | | Date: |
11 Mar 2002 | | Journal: | Phys.Rev. E66 (2002) 016104 | | Subject: | Statistical Mechanics; Mathematical Physics; Exactly Solvable and Integrable Systems; Classical Physics; Networking and Internet Architecture | cond-mat.stat-mech cs.NI hep-lat hep-th math-ph math.MP nlin.SI physics.class-ph | | Abstract: | We find the exact critical temperature $T_c$ 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, $T_c$ approaches infinity, the phase transition is of infinite order, and size effect is anomalously strong. | | Source: | arXiv, cond-mat/0203227 | | Services: | Forum | Review | PDF | Favorites | |
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