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arXiv · 1801.08877

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

Yuri Kozitsky·Mikhailo Kozlovskii
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Abstract

A version of the continuum Widom-Rowlinson model is introduced and studied. It is a two-component gas of point particles placed in $\mathbf{R}^d$ 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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Yuri Kozitsky, Mikhailo Kozlovskii. 2018-01-25. A Curie-Weiss Theory of the Continuum Widom-Rowlinson Model. https://doi.org/10.1016/j.physleta.2018.01.018

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