Abstract
We prove cluster properties of the correlation functions at high temperature and arbitrary activity. We obtain also results on clustering at complex temperatures and activities.
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Lebowitz, J. L., andO. Penrose: Analytic and clustering properties of thermodynamic functions and distribution functions for classical lattice and continuous systems. Commun. math. Phys.11, 99 (1978).
Ruelle, D.: Correlation functions of classical gases. Ann. Phys.25, 109 (1963).
Penrose, O.: Convergence of fugacity expansions for fluids and lattice gases. J. Math. Phys.4, 1312 (1963).
Gallavotti, G., andS. Miracle-Sole: Correlation functions of a lattice system. Comm. Math. Phys.7, 274 (1968).
—— ——, andD. Robinson: Analyticity properties of a lattice gas. Phys. Lett.25 A, 493 (1967).
Ruelle, D.: Statistical Mechanics. III. 2.7 New York: Benjamin (to be published).
Ahlfors, L. A.: Complex analysis. IV. 4.2. New York: McGraw Hill 1953.
Zerner, M.: Théorie de Hartogs et singularités des distributions. Bull. Soc. Math. France90, 165 (1962).
A simple account of this paper is in Math. Rev.26, abstract 1754 (1963).
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On leave of absence from Aix-Marseille University.
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Gallavotti, G., Miracle-Sole, S. On the cluster property above the critical temperature in lattice gases. Commun.Math. Phys. 12, 269–274 (1969). https://doi.org/10.1007/BF01667312
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DOI: https://doi.org/10.1007/BF01667312