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 analyti- city 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.

Correlation functions of a lattice system / Gallavotti, Giovanni; S., Miracle Sole. - In: COMMUNICATIONS IN MATHEMATICAL PHYSICS. - ISSN 0010-3616. - STAMPA. - 7:(1967), pp. 274-288. [10.1007/BF01646661]

Correlation functions of a lattice system

GALLAVOTTI, Giovanni;
1967

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 analyti- city 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.
1967
Correlation Functions Mayer expansion cluster expansion
01 Pubblicazione su rivista::01a Articolo in rivista
Correlation functions of a lattice system / Gallavotti, Giovanni; S., Miracle Sole. - In: COMMUNICATIONS IN MATHEMATICAL PHYSICS. - ISSN 0010-3616. - STAMPA. - 7:(1967), pp. 274-288. [10.1007/BF01646661]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/382523
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