Phase Transitions in a Vicinity of the Vapor-Liquid Critical Point
A method of integration of the grand partition function for simple systems of interacting particles is elaborated, by considering the theory of vapor-liquid critical point as an example. An interparticle interaction potential consists of two terms: i) a short-range potential, which is modeled by the interaction in a system of hard spheres and characterizes the impenetrability of particles and ii) a potential of attraction. The attractive potential can be described by various functions such as the van der Waals attraction
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