{"paper":{"title":"Renormalized energy equidistribution and local charge balance in 2D Coulomb systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA","math.MP","math.PR"],"primary_cat":"math-ph","authors_text":"Simona Rota Nodari (AGM), Sylvia Serfaty (LJLL)","submitted_at":"2013-07-12T08:30:08Z","abstract_excerpt":"We consider two related problems: the first is the minimization of the \"Coulomb renormalized energy\" of Sandier-Serfaty, which corresponds to the total Coulomb interaction of point charges in a uniform neutralizing background (or rather variants of it). The second corresponds to the minimization of the Hamiltonian of a two-dimensional \"Coulomb gas\" or \"one-component plasma\", a system of n point charges with Coulomb pair interaction, in a confining potential (minimizers of this energy also correspond to \"weighted Fekete sets\"). In both cases we investigate the microscopic structure of minimizer"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.3363","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}