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Sharp interface limit for two components Bose-Einstein condensates

Sharp interface limit for two components Bose-Einstein condensates

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 …