Duality-based approximation for the critical point of the square lattice Ising ferromagnet within Tsallis statistics

L.R. da Silva and H.E. Stanley

Physica A: Statistical Mechanics and its Applications, 1996, vol. 234, issue 1, 497-505

Abstract: Within the generalized thermostatistics of Tsallis, we propose for the spin-12 Ising ferromagnet a transmissivity variable which extends that defined by Tsallis and Levy for thermal magnetic systems. By using this generalized transmissivity as well as duality arguments, we calculate the q-dependence of the critical temperature corresponding to the square lattice, where q is the entropic index (q = 1 reproduces standard thermostatistics). Our approximate results are compared with those previously obtained using renormalization group and mean-field approximation.

Date: 1996
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:234:y:1996:i:1:p:497-505

DOI: 10.1016/S0378-4371(96)00270-1

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Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

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