Abstract
We show that the residual entropy, S, for the two-dimensional Blume-Emery-Griffiths model at the antiquadrupolar-ferromagnetic coexistence line satisfies the following bounds \(\ln(\lambda_{1,2n,+}/\lambda_{1,2n-1,+})\leq S\leq (\ln \lambda_{1,k,\mathit{free}})/k\), for all n≥2 and k≥1, where λ 1,n,free and λ 1,n,+ are the largest eigenvalues of the transfer matrices F n,free and F n,+, respectively. In particular, we have S=0.439396±0.008670.
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Lima, P.C., Neves, A.G.M. On the Residual Entropy of the BEG Model at the Antiquadrupolar-Ferromagnetic Coexistence Line. J Stat Phys 144, 749–758 (2011). https://doi.org/10.1007/s10955-011-0291-y
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DOI: https://doi.org/10.1007/s10955-011-0291-y