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arxiv: 0809.3369 · v1 · submitted 2008-09-19 · 🧮 math.AP

On phase segregation in nonlocal two-particle Hartree systems

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keywords hartreenonlocalphasesegregationapproachequationsgroundinteracting
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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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