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metadata.dc.type: | Artigo de Periódico |
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 |
metadata.dc.creator: | Lessa, J. C. Andrade, Roberto Fernandes Silva |
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. |
Publisher: | Physical Review E |
URI: | http://repositorio.ufba.br/ri/handle/ri/13654 |
Issue Date: | 2000 |
Appears in Collections: | Artigo Publicado em Periódico (FIS) |
Files in This Item:
File | Description | Size | Format | |
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1111111aa.pdf | 124,61 kB | Adobe PDF | View/Open |
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