Accepted Paper
Inserted: 8 jan 2014
Last Updated: 2 sep 2014
Journal: ESAIM COCV
Year: 2014
Abstract:
We study a double Cahn-Hilliard type functional related to the Gross-Pitaevskii energy of two-components Bose-Einstein condensates. In the case of large but same order intercomponent and intracomponent coupling strengths, we prove $\Gamma$-convergence to a perimeter minimisation functional with an inhomogeneous surface tension. We study the asymptotic behavior of the surface tension as the ratio between the intercomponent and intracomponent coupling strengths becomes very small or very large and obtain good agreement with the physical litterature. We obtain as a consequence, symmetry breaking of the minimisers for the harmonic potential when this radio is sufficiently large.
Download: