Ground states of a two phase model with cross and self attractive interactions

Abstract

We consider a variational model for two interacting species (or phases), subject to cross and self attractive forces. We show existence and several qualitative properties of minimizers. Depending on the strengths of the forces, different behaviors are possible: phase mixing or phase separation with nested or disjoint phases. In the case of Coulomb interaction forces, we characterize the ground state configurations.

References in corpus (4)

• On global minimizers of repulsive-attractive power-law interaction energies
• Free Energy Minimizers for a Two--Species Model with Segregation and Liquid-Vapor Transition
• Two species coagulation approach to consensus by group level interactions
• Optimal distribution of oppositely charged phases: perfect screening and other properties