European Physical Journal B: Condensed Matter and Complex Systems
| Autor: | Nogueira Júnior, E., Andrade, Roberto Fernandes Silva, Coutinho, Sérgio |
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| Jazyk: | angličtina |
| Rok vydání: | 2001 |
| Zdroj: | Repositório Institucional da UFBA Universidade Federal da Bahia (UFBA) instacron:UFBA |
| DOI: | 10.1007/s100510170057 |
| Popis: | Texto completo: acesso restrito. p. 373-382 Submitted by Suelen Reis (suelen_suzane@hotmail.com) on 2012-12-19T15:31:00Z No. of bitstreams: 1 nogueira.pdf: 405846 bytes, checksum: 655a9c5c14ddaccb8555cee63b73488e (MD5) Made available in DSpace on 2012-12-19T15:31:00Z (GMT). No. of bitstreams: 1 nogueira.pdf: 405846 bytes, checksum: 655a9c5c14ddaccb8555cee63b73488e (MD5) Previous issue date: 2001 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 |
| Databáze: | OpenAIRE |
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