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

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.

1 figure. arXiv admin note: substantial text overlap with arXiv:1801.01428

References in corpus (2)

• Mean-field driven first-order phase transitions in systems with long-range interactions
• Continuous Spin Mean-Field models: Limiting kernels and Gibbs Properties of local transforms