Abstract
A new characterization of equilibrium states for classical lattice systems is given in terms of correlation inequalities. Their physical meaning is found to express thermodynamic stability. We demonstrate the applicability of the inequalities in specific models.
Similar content being viewed by others
References
L. Landau, J. F. Perez, and W. F. Wreszinski,J. Stat. Phys. 26:755 (1981).
C. E. Pfister,Commun. Math. Phys. 79:181 (1981).
J. Fröhlich and C. E. Pfister,Commun. Math. Phys. 81:277 (1981).
Ch. Gruber and Ph.A. Martin,Phys. Rev. Lett. 45:853 (1980).
Ch. Gruber and Ph.A. Martin,Ann. Phys. (N.Y.) 131:56 (1981).
Ch. Gruber, Ph.A. Martin and Ch. Oguey,Commun. Math. Phys. 84:55 (1982).
B. Simon and A. D. Sokal,J. Stat. Phys. 25:679 (1981).
J. B. Rogers and C. J. Thompson,J. Stat. Phys. 25:669 (1981).
M. Fannes and A. Verbeure,Commun. Math. Phys. 57:165 (1977).
G. L. Sewell,Commun. Math. Phys. 55:53 (1977).
M. Fannes and A. Verbeure,J. Math. Phys. 19:558 (1978).
O. E. Lanford III and D. Ruelle,Commun. Math. Phys. 13:194 (1969).
R. B. Israël,Convexity in the theory of Lattice Gases, (Princeton University Press, Princeton, New Jersey, 1979).
B. Demoen and A. Verbeure,Commun. Math. Phys. 62:191 (1978).
W. G. Sullivan,Proc. Am. Math. Soc. 54:326 (1976); Markov Processes for Random Fields, Comm. Dublin Inst. for Adv. Studies, Series A, No. 23.
J. Fröhlich, R. Israël, E. Lieb and B. Simon,Commun. Math. Phys. 62:1 (1978).
J. Bricmont, J. L. Lebowitz and C. E. Pfister,J. Stat. Phys. 21:573 (1979).
S. Sakai,J. Funct. Anal. 21:203 (1976);Tôhoku Math. J. 28:583 (1976).
R. S. Schor,Commun. Math. Phys. 59:213 (1978).
Author information
Authors and Affiliations
Additional information
Bevoegdverklaard navorser N.F.W.O.
Aangesteld navorser N.F.W.O.
Rights and permissions
About this article
Cite this article
Fannes, M., Vanheuverzwijn, P. & Verbeure, A. Energy-entropy inequalities for classical lattice systems. J Stat Phys 29, 547–560 (1982). https://doi.org/10.1007/BF01342186
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01342186