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math-ph2025
Free-energy variations for determinantal 2D plasmas with holes
Nicolas Rougerie
We study the Gibbs equilibrium of a classical 2D Coulomb gas in the determinantal case = 2. The external potential is the sum of a quadratic term and the potential generated b…
math-ph2024
Thomas-Fermi profile of a fast rotating Bose-Einstein condensate
Dinh-Thi Nguyen, Nicolas Rougerie
We study the minimizers of a magnetic 2D non-linear Schrödinger energy functional in a quadratic trapping potential, describing a rotating Bose-Einstein condensate. We derive an e…