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Study of the mean field renormalization group method with the Tsallis statistics

โœ Scribed by J. Ricardo de Sousa

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
226 KB
Volume
235
Category
Article
ISSN
0378-4371

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โœฆ Synopsis

The phase transition of the Ising model in d-dimensional lattice is reanalyzed by using the mean field renormalization group method within the Tsallis generalization of the Boltzmann-Gibbs statistics (BGS). The critical temperature (To) is obtained explicitly for a general dimension d and a factor q present in the generalized statistics for clusters of one (N' = 1 ) and two (N = 2) spins. In the q --+ 1 limit, the present work reduces to the results of lndekeu et al. (J. Phys. A 15 (1982) L291) with the usual BGS. For a linear chain (d = 1), the system presents a phase * Supported by CNPq (Brazilian Agency).

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Mean field renormalization group analysis of the Blume-Capel model
โœ O.F. De Alcantara Bonfim ๐Ÿ“‚ Article ๐Ÿ“… 1985 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 364 KB

The critical properties of the d-dimensional Blume-Capel model is studied by using the mean field renormalization group method. The phase diagram and tricritical behaviour of the square lattice and various three-dimensional lattices have been analysed. Results are compared with those of high-tempera