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https://repositorio.ufba.br/handle/ri/6825
metadata.dc.type: | Artigo de Periódico |
Title: | Tsallis scaling in the long-range Ising chain with competitive interactions |
Other Titles: | Brazilian Journal of Physics |
Authors: | Carvalho Neto, Edgar Marcelino de Andrade, Roberto Fernandes Silva |
metadata.dc.creator: | Carvalho Neto, Edgar Marcelino de Andrade, Roberto Fernandes Silva |
Abstract: | A numerically efficient transfer matrix approach is used to investigate the validity of the Tsallis scaling hypothesis in the long-range Ising spin chain with competitive interactions. In this model, the interaction between two spins i and j placed r lattice steps apart is Ji, j = (-1)ζ(i,j)J0/rα, where ζ(i, j) is either 0 or 1. This procedure has succeeded to show the validity of the scaling hypothesis for the well investigated ferromagnetic version of the model, i.e., ζ(i, j)= 0,∀i, j, ∀α > 0. Results are reported for some models of a set, which is defined by requiring ζ(i, j) to be a periodic sequence of 0's and 1's. As expected from symmetry arguments, we find that the hypothesis is not valid when ζ(i, j)= 1,∀i, j and α < 1. however, it is verified, with high degree of numerical accuracy, when α < 1, for sequences in which the occurrence of ζ(i, j)= 0 is more frequent than that of ζ(i, j)= 1. |
Keywords: | Competitive interactions Long-range Ising chain |
Publisher: | Sociedade Brasileira de Física |
URI: | http://www.repositorio.ufba.br/ri/handle/ri/6825 |
Issue Date: | Aug-2009 |
Appears in Collections: | Artigo Publicado em Periódico (FIS) |
Files in This Item:
File | Description | Size | Format | |
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Carvalho Neto.pdf | 1,05 MB | Adobe PDF | View/Open |
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