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

Marco Cicalese, Lucia De Luca, Matteo Novaga, Marcello Ponsiglione
2015 arXiv   pre-print
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.
arXiv:1507.08446v1 fatcat:jij4xmjwhzbjhmn7dz64uivicy