{"id":"W1985533088","doi":"10.1007/s00220-004-1082-y","title":"Local Minimizers of the Ginzburg-Landau Energy with Magnetic Field in Three Dimensions","year":2004,"lang":"en","type":"article","venue":"Communications in Mathematical Physics","topic":"Advanced Mathematical Modeling in Engineering","field":"Computer Science","cited_by":20,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Toronto","funders":"","keywords":"Vortex; Mathematics; Magnetic field; Complex system; Landau quantization; Energy (signal processing); Boundary (topology); Field theory (psychology); Line (geometry); Mathematical analysis; Energy functional; Physics; Pure mathematics; Geometry; Mathematical physics; Quantum mechanics; Computer science; 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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001328129,0.0001245905,0.000229834,0.00005017468,0.00005297745,0.00001501547,0.00174564,0.0000491668,0.00000210934],"category_scores_gemma":[0.0001341611,0.0000875924,0.00004850624,0.0006482688,0.0002404784,0.0001413914,0.0006869812,0.0002687779,0.000003825546],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006899142,"about_ca_system_score_gemma":0.00005715102,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001742192,"about_ca_topic_score_gemma":0.00006041824,"domain_scores_codex":[0.9990498,0.00003608303,0.000356752,0.0001577988,0.0002068157,0.0001926965],"domain_scores_gemma":[0.9968556,0.0007997375,0.00006900937,0.002192314,0.00004464139,0.00003866495],"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":[0.000001661111,0.0002435699,0.00002226755,0.00002712655,0.000003226322,6.260527e-7,0.0003677904,0.1133688,0.00008221131,0.8837641,0.000001811719,0.002116805],"study_design_scores_gemma":[0.0002497587,0.00002966493,0.0000430242,0.0002704792,0.000003913528,0.000002377179,0.00002861201,0.3707862,0.000549041,0.6279541,0.00000723373,0.00007560611],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.003993096,0.0001060389,0.9929641,0.001336816,0.00001859859,0.0001406334,5.393532e-7,0.00003869681,0.001401444],"genre_scores_gemma":[0.6480336,0.00001293675,0.3518184,0.0000812927,0.000002598673,0.00003753997,2.854442e-7,0.000008271272,0.000005038188],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.6440405,"threshold_uncertainty_score":0.3571914,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02306931672075213,"score_gpt":0.2569168411019853,"score_spread":0.2338475243812332,"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."}}