caa a22 4500 445391340 CHVBK 20180317143047.0 cr unu---uuuuu 170323e20110801xx s 000 0 eng 10.1007/s10955-011-0291-y doi (NATIONALLICENCE)springer-10.1007/s10955-011-0291-y On the Residual Entropy of the BEG Model at the Antiquadrupolar-Ferromagnetic Coexistence Line [Elektronische Daten] [Paulo Lima, Armando Neves] 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. Springer Science+Business Media, LLC, 2011 Residual entropy nationallicence Blume-Emery-Griffiths model nationallicence Transfer matrix nationallicence Perron-Frobenius Theorem nationallicence Lima Paulo Departamento de Matemática, ICEX, UFMG, Belo Horizonte, MG, Brazil aut Neves Armando Departamento de Matemática, ICEX, UFMG, Belo Horizonte, MG, Brazil aut Journal of Statistical Physics Springer US; http://www.springer-ny.com 144/4(2011-08-01), 749-758 0022-4715 144:4<749 2011 144 10955 https://doi.org/10.1007/s10955-011-0291-y text/html Onlinezugriff via DOI 1 brief-communication jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10955-011-0291-y text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Lima Paulo Departamento de Matemática, ICEX, UFMG, Belo Horizonte, MG, Brazil aut NATIONALLICENCE 700 1- Neves Armando Departamento de Matemática, ICEX, UFMG, Belo Horizonte, MG, Brazil aut NATIONALLICENCE 773 0- Journal of Statistical Physics Springer US; http://www.springer-ny.com 144/4(2011-08-01), 749-758 0022-4715 144:4<749 2011 144 10955 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer