Abstract
The possibility of a many particle system undergoing a classical gas-liquid phase transition, is shown to be reflected in the structure of the two-particle Green's function in the random phase approximation. When the interaction is sufficiently attractive this Green's function possesses forbidden poles on the imaginary axis of the complex frequency plane. An investigation of the temperature dependent correlation function reveals that the poles appear even in the classical limit, and that as they appear ( ϖP ϖV ) T vanishes and long range density correlations of the form usually associated with critical fluctuations arise. It is therefore concluded that the poles are symptomatic of the instabilities associated with the condensation of the system from a gaseous to a liquid phase.
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