Year: 1968

Authors: G.Gallavotti, S. Miracle-Sole'

Title: Correlation Functions of a Lattice System
Communication in Mathematical Physics, 7, 274--288, 1968

Abstract: We deduce an integral equation for the infinite volume correlation functions of a class of lattice systems and we apply it to find results on the analyticity in the interaction potentials of the pressure and of the correlation functions and on the ergodicity of the equilibrium states in the gaseous phase. By similar methods we prove some cluster properties for the correlation functions in the gaseous phase.

Key words:  Statistical Mechanics, Correlations, Cluster Property, Mayer Expansion, Cluster Expansion, Virial Series, Thermodynamic Limit, Lattice Gas

Giovanni Gallavotti
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