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https://repositorio.ufba.br/handle/ri/13268
metadata.dc.type: | Artigo de Periódico |
Título : | Ising model on the Apollonian network with node-dependent interactions |
Otros títulos : | Physical Review E |
Autor : | Andrade, Roberto Fernandes Silva Andrade Júnior, José Soares de Herrmann, H. J. |
metadata.dc.creator: | Andrade, Roberto Fernandes Silva Andrade Júnior, José Soares de Herrmann, H. J. |
Resumen : | This work considers an Ising model on the Apollonian network, where the exchange constant Ji,j∼1/(kikj)μ between two neighboring spins (i,j) is a function of the degree k of both spins. Using the exact geometrical construction rule for the network, the thermodynamical and magnetic properties are evaluated by iterating a system of discrete maps that allows for very precise results in the thermodynamic limit. The results can be compared to the predictions of a general framework for spin models on scale-free networks, where the node distribution P(k)∼k−γ, with node-dependent interacting constants. We observe that, by increasing μ, the critical behavior of the model changes from a phase transition at T=∞ for a uniform system (μ=0) to a T=0 phase transition when μ=1: in the thermodynamic limit, the system shows no true critical behavior at a finite temperature for the whole μ≥0 interval. The magnetization and magnetic susceptibility are found to present noncritical scaling properties. |
URI : | http://www.repositorio.ufba.br/ri/handle/ri/13268 |
Fecha de publicación : | 2009 |
Aparece en las colecciones: | Artigo Publicado em Periódico (FIS) |
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