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Please use this identifier to cite or link to this item: http://repositorio.ufba.br/ri/handle/ri/7668

Title: Multifractal properties of aperiodic Ising model on hierarchical lattices: role of the geometric fluctuations
Other Titles: European Physical Journal B: Condensed Matter and Complex Systems
Authors: Nogueira Júnior, E.
Andrade, Roberto Fernandes Silva
Coutinho, Sérgio
Issue Date: 2001
Abstract: The role of the geometric fluctuations on the multifractal properties of the local magnetization of aperiodic ferromagnetic Ising models on hierarchical lattices is investigated. The geometric fluctuations are introduced by generalized Fibonacci sequences. The local magnetization is evaluated via an exact recurrent procedure encompassing real space renormalization group decimation. The symmetries of the local magnetization patterns induced by the aperiodic couplings is found to be strongly (weakly) different, with respect to the ones of the corresponding homogeneous systems, when the geometric fluctuations are relevant (irrelevant) to change the critical properties of the system. At the criticality, the measure defined by the local magnetization is found to exhibit a non-trivial F(α) spectra being shifted to higher values of α when relevant geometric fluctuations are considered. The critical exponents are found to be related with some special points of the F(α) function and agree with previous results obtained by the quite distinct transfer matrix approach
Description: Texto completo: acesso restrito. p. 373-382
URI: http://www.repositorio.ufba.br/ri/handle/ri/7668
ISSN: 1434-6028
Appears in Collections:Artigos Publicados em Periódicos (FIS)

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