Abstract
Correlation inequalities are proven for spin systems with non-purely-ferromagnetic interactions possessing a certain symmetry. These inequalities generalize well-known inequalities of Griffiths, Ginibre, Lebowitz, Schrader, Messager-Miracle-Sole, and Percus.
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References
H. van Beijeren,Comm. Math. Phys. 40:1 (1975).
A. Messager and S. Miracle-Sole,J. Stat. Phys. 17:245 (1977).
J. Ginibre,Comm. Math. Phys. 16:310 (1970).
R. B. Griffiths,J. Math. Phys. 8:478 (1967).
D. G. Kelly and S. Sherman,J. Math. Phys. 9:466 (1968).
R. Schrader,Phys. Rev. B. 15:2798 (1977).
J. L. Lebowitz,J. Stat. Phys. 16:3 (1977).
J. L. Lebowitz, Rome Talk (1977).
R. B. Griffiths, inStatistical Mechanics and Quantum Field Theory, C. de Witt and R. Stora, eds. (Gordon and Breach, 1971), pp. 277–78.
J. K. Percus,Comm. Math. Phys. 40:283 (1975).
G. S. Sylvester,J. Stat. Phys. 15:327 (1976).
G. Gallavotti,Comm. Math. Phys. 27:103 (1972).
D. B. Abraham and P. Reed,Comm. Math. Phys. 49:35 (1976).
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Szàsz, D. Correlation inequalities for non-purely-ferromagnetic systems. J Stat Phys 19, 453–459 (1978). https://doi.org/10.1007/BF01011692
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DOI: https://doi.org/10.1007/BF01011692