https://repositorio.ufba.br/handle/ri/14026
metadata.dc.type: | Artigo de Periódico |
Title: | Tsallis scaling and the long-range Ising chain: A transfer matrix approach |
Other Titles: | Physical Review E |
Authors: | Andrade, Roberto Fernandes Silva Pinho, Suani Tavares Rubim de |
metadata.dc.creator: | Andrade, Roberto Fernandes Silva Pinho, Suani Tavares Rubim de |
Abstract: | A numerically efficient transfer matrix (TM) approach is introduced to investigate the long-range Ising spin chain. Results obtained within this procedure are primarily used to verify the Tsallis scaling hypothesis for long-range systems with an α power-law decay of the interaction constants, both in the extensive (α>1) and nonextensive (α<1) regimes. Results for finite-size systems, taking into account all interactions between spins up to 24 sites apart, show that the conjecture is satisfied with a very good precision (less than 0.004%) for all temperature intervals. This TM procedure is further used to investigate several other thermodynamic and critical properties of this system, and it may also be extended to similar one-dimensional long-range systems. |
metadata.dc.publisher.country: | Brasil |
metadata.dc.rights: | Acesso Aberto |
URI: | http://repositorio.ufba.br/ri/handle/ri/14026 |
Issue Date: | 2005 |
Appears in Collections: | Artigo Publicado em Periódico (FIS) |
File | Description | Size | Format | |
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R. F. S. Andrade.pdf | 107,28 kB | Adobe PDF | View/Open |
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