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Please use this identifier to cite or link to this item: http://repositorio.ufba.br/ri/handle/ri/13654

Title: Log-periodic oscillations for a uniform spin model on a fractal
Other Titles: Physical Review E
Authors: Lessa, J. C.
Andrade, Roberto Fernandes Silva
Issue Date: 2000
Publisher: Physical Review E
Abstract: The model of Blume-Capel on the Sierpinski gasket is investigated within the method of transfer matrices, where the thermodynamic functions are obtained after the numerical iteration of a set of discrete maps. The analysis of the T50 transition shows that, for antiferromagnetic coupling and a finite interval of self-energy coefficient, the correlation length diverges as exp(Jef f /T), with superimposed log-periodic oscillations in terms of the reduced temperature t5exp(2uJef fu/T). Both the period of oscillations and the effective interaction Je f f depend on the strength of the actual coupling constants. In the antiferromagnetic regime, residual entropy is found for three different values of the self-energy parameter. The variation of this parameter leads, in the case of ferromagnetic coupling, to a more complex behavior for the correlation length than the already known exp@exp(Jef f /T)# dependence observed for the Ising and Potts models.
Description: p. 3083-3089
URI: http://repositorio.ufba.br/ri/handle/ri/13654
ISSN: 1539-3755
Appears in Collections:Artigos Publicados em Periódicos (FIS)

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