Abstract
By means of a transfer matrix method, we show that the residual entropy S of the two dimensional square lattice Blume-Emery-Griffiths model on the antiquadrupolar-disordered and ferromagnetic-antiquadrupolar-disordered phase boundaries satisfies the inequalities (ln λ 1,n )/(n+1)≤S≤(ln λ 1,n )/n, where λ 1,n is the largest eigenvalue of a transfer matrix F n on a strip of width n. These bounds imply the existence of a O(1/n) correction in the approximation of S by (ln λ 1,n )/n. Using these bounds, we calculate numerically the value of S, with precise estimates on the errors.
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Braga, G.A., Lima, P.C. On the Residual Entropy of the Blume-Emery-Griffiths Model. J Stat Phys 130, 571–578 (2008). https://doi.org/10.1007/s10955-007-9457-z
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DOI: https://doi.org/10.1007/s10955-007-9457-z