Free Energy Minimizers for a Two--Species Model with Segregation and Liquid-Vapor Transition

TL;DR

This paper analyzes a two-species model with long-range interactions, focusing on phase coexistence, segregation, and liquid-vapor transitions, by examining the free energy minimizers in the scaling limit.

Contribution

It introduces a detailed study of phase coexistence and segregation phenomena in a two-species model with Kac potentials, highlighting the effects of attractive and repulsive interactions.

Findings

Identification of phase coexistence regions

Characterization of segregation patterns

Analysis of liquid-vapor transition behavior

Abstract

We study the coexistence of phases in a two--species model whose free energy is given by the scaling limit of a system with long range interactions (Kac potentials) which are attractive between particles of the same species and repulsive between different species.