{"paper":{"title":"Material Laws and Numerical Methods in Applied Superconductivity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.mtrl-sci","cond-mat.str-el","math-ph","math.MP","physics.comp-ph"],"primary_cat":"cond-mat.supr-con","authors_text":"H. S. Ruiz","submitted_at":"2012-03-09T18:32:53Z","abstract_excerpt":"Contents Preface I Electromagnetism of type II superconductors 1 General Statements Of The Critical State 1.1 The CS In The Maxwell Equations Formalism 1.2 The CS Regime And The MQS Limit 2 Variational Theory for CS Problems 2.1 General Principles Of The Variational Method 2.2 The Material Law: SCs with magnetic anisotropy 2.2.1 Onto the 1D Critical States 2.2.2 Towards The 3D Critical States 3 Computational Method Conclusions I References I II Critical State Problems:Effects & Applications 4 Type-II SCs With Intrinsic Magnetic Anisotropy 4.1 3D variational statement in slab geometry 4.2 Isotr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.2159","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"}