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arXiv · 2606.20484

Minimizers for Coulomb gases constrained to a halfspace

Rupert L. Frank·Paata Ivanisvili·Clara Torres-Latorre
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Abstract

We consider a family of optimization problems, based on a mean-field description of particles interacting through Coulomb forces in a quadratic trap. In addition, the particles are constrained to lie in a halfspace and we are interested in the way the particle distribution changes as the halfspace varies. In particular, we can prove the existence of a phase transition, thereby settling a recent conjecture by Byun, Forrester, Majumdar and Schehr.

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Rupert L. Frank, Paata Ivanisvili, Clara Torres-Latorre. 2026-06-18. Minimizers for Coulomb gases constrained to a halfspace. https://arxiv.org/abs/2606.20484

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