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Critical behavior of the Ising model in annealed scale-free networks
Department of Physics, Korea Advanced Institute of Science and Technology, Daejeon 305-701, Korea.
Vise andre og tillknytning
2009 (engelsk)Inngår i: Physical Review E. Statistical, Nonlinear, and Soft Matter Physics: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, ISSN 1063-651X, E-ISSN 1095-3787, Vol. 80, nr 051127Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

We study the critical behavior of the Ising model in annealed scale-free (SF) networks of finite system size with forced upper cutoff in degree. By mapping the model onto the weighted fully connected Ising model, we derive analytic results for the finite-size scaling (FSS) near the phase transition, characterized by the cutoff-dependent two-parameter scaling with four distinct scaling regimes, in highly heterogeneous networks. These results are essentially the same as those found for the nonequilibrium contact process in annealed SF networks, except for an additional complication due to the trivial critical point shift in finite systems. The discrepancy of the FSS theories between annealed and quenched SF networks still remains in the equilibrium Ising model, like some other nonequilibrium models. All of our analytic results are confirmed reasonably well by numerical simulations.

sted, utgiver, år, opplag, sider
2009. Vol. 80, nr 051127
Identifikatorer
URN: urn:nbn:se:umu:diva-37770DOI: 10.1103/PhysRevE.80.051127OAI: oai:DiVA.org:umu-37770DiVA, id: diva2:369932
Tilgjengelig fra: 2010-11-12 Laget: 2010-11-12 Sist oppdatert: 2018-06-08bibliografisk kontrollert

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