On phase segregation in nonlocal two-particle Hartree systems

TL;DR

This paper proves that in a two-particle Hartree system with strong interactions, the particles tend to separate into distinct regions, supported by both theoretical proof and numerical visualization.

Contribution

It establishes the occurrence of phase segregation in ground states of coupled Hartree equations under large nonlinear interactions, combining rigorous proof and numerical analysis.

Findings

Phase segregation occurs in the ground states for large interactions.

Numerical simulations visualize the transition to segregation.

Theoretical proof confirms the phenomenon under specified conditions.

Abstract

We prove the phase segregation phenomenon to occur in the ground state solutions of an interacting system of two self-coupled repulsive Hartree equations for large nonlinear and nonlocal interactions. A self-consistent numerical investigation visualizes the approach to this segregated regime.