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https://repositorio.ufba.br/handle/ri/13654
metadata.dc.type: | Artigo de Periódico |
Título : | Log-periodic oscillations for a uniform spin model on a fractal |
Otros títulos : | Physical Review E |
Autor : | Lessa, J. C. Andrade, Roberto Fernandes Silva |
metadata.dc.creator: | Lessa, J. C. Andrade, Roberto Fernandes Silva |
Resumen : | 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. |
Editorial : | Physical Review E |
URI : | http://repositorio.ufba.br/ri/handle/ri/13654 |
Fecha de publicación : | 2000 |
Aparece en las colecciones: | Artigo Publicado em Periódico (FIS) |
Ficheros en este ítem:
Fichero | Descripción | Tamaño | Formato | |
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1111111aa.pdf | 124,61 kB | Adobe PDF | Visualizar/Abrir |
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