On phase segregation in nonlocal two-particle Hartree systems

Details On phase segregation in nonlocal two-particle Hartree systems On phase segregation in nonlocal two-particle Hartree systems

2008-09-19

arxiv.org/abs/0809.3369v1

Mathematics

Analysis of PDEs

19 pages, 5 figures

Scientific paper

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.

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