{"paper":{"title":"Pinning phenomena in the Ginzburg-Landau Model of Superconductivity","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.supr-con","authors_text":"Amandine Aftalion, Etienne Sandier, Sylvia Serfaty","submitted_at":"2000-04-11T13:57:06Z","abstract_excerpt":"We study the Ginzburg-Landau energy of superconductors with a term $a_\\ep$ modelling the pinning of vortices by impurities in the limit of a large Ginzburg-Landau parameter $\\kappa=1/\\ep$. The function $a_\\ep$ is oscillating between 1/2 and 1 with a scale which may tend to 0 as $\\kappa$ tends to infinity.\n  Our aim is to understand that in the large $\\kappa$ limit, stable configurations should correspond to vortices pinned at the minimum of $a_\\ep$ and to derive the limiting homogenized free-boundary problem which arises for the magnetic field in replacement of the London equation.\n The method"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0004177","kind":"arxiv","version":1},"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"}