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arXiv 2018-01-25 DOI 10.1016/j.physleta.2018.01.018 2 views

A Curie-Weiss Theory of the Continuum Widom-Rowlinson Model

Kozitsky, Yuri · Kozlovskii, Mikhailo

Original · EN

A version of the continuum Widom-Rowlinson model is introduced and studied. It is a two-component gas of point particles placed in Rᵈ in which like particles do not interact and unlike particles contained in a given vessel of volume V repel each other with intensity a/V. This model is thermodynamically equivalent to a one-component gas with multi-particle interaction. For both models, a rigorous theory of a phase transition is presented and the ways of its construction in the framework of the grand canonical formalism are outlined.

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