English

On phase segregation in nonlocal two-particle Hartree systems

Analysis of PDEs 2008-09-22 v1

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.

Keywords

Cite

@article{arxiv.0809.3369,
  title  = {On phase segregation in nonlocal two-particle Hartree systems},
  author = {Walter H. Aschbacher and Marco Squassina},
  journal= {arXiv preprint arXiv:0809.3369},
  year   = {2008}
}

Comments

19 pages, 5 figures

R2 v1 2026-06-21T11:22:09.064Z