{"id":"W1992625289","doi":"10.1007/s00205-011-0478-z","title":"Multi-Vortex Solutions to Ginzburg–Landau Equations with External Potential","year":2011,"lang":"en","type":"article","venue":"Archive for Rational Mechanics and Analysis","topic":"Advanced Mathematical Physics Problems","field":"Mathematics","cited_by":7,"is_retracted":false,"has_abstract":false,"ca_institutions":"Lakehead University","funders":"","keywords":"Vortex; Physics; Infinity; Higgs boson; Superconductivity; Ginzburg–Landau theory; Algebraic number; Mathematical physics; Order (exchange); Classical mechanics; Quantum mechanics; Mathematical analysis; Mathematics; Mechanics","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008555598,0.001130746,0.001201875,0.002390993,0.001698806,0.002914576,0.001351548,0.00182601,0.007327809],"category_scores_gemma":[0.002837304,0.0005425885,0.0007983031,0.001169287,0.002035477,0.003072926,0.002857701,0.002201346,0.001027903],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008013987,"about_ca_system_score_gemma":0.0007390629,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003791273,"about_ca_topic_score_gemma":0.000654435,"domain_scores_codex":[0.9997532,0.00008388703,0.00002029948,0.00002349359,0.00007304145,0.00004606754],"domain_scores_gemma":[0.9993279,0.0001386055,0.000130217,0.00006619391,0.0001215314,0.0002155579],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00006737287,0.00005384799,0.000234426,0.00005006588,0.00001720918,0.0002983878,0.0001208911,0.003939068,0.003140084,0.9876943,0.001291483,0.003092927],"study_design_scores_gemma":[0.00005446243,0.00002398033,0.0002837735,0.0000208301,0.000009472243,0.00024272,0.00008352241,0.07103321,0.000771741,0.926138,0.001318531,0.00001984153],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6950837,0.002447319,0.2036026,0.006351179,0.001504969,0.0001512352,0.0004436955,0.0005523915,0.08986298],"genre_scores_gemma":[0.918547,0.0009029691,0.02923841,0.0004750695,0.001000681,0.0001525949,0.0003627664,0.0002987979,0.04902165],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007327809,"threshold_uncertainty_score":0.0245139,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0740750835477802,"score_gpt":0.3042154065335615,"score_spread":0.2301403229857813,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}