{"id":"W2053943971","doi":"10.1007/s00220-012-1612-y","title":"Multi-Vortex Non-radial Solutions to the Magnetic Ginzburg-Landau Equations","year":2012,"lang":"en","type":"article","venue":"Communications in Mathematical Physics","topic":"Advanced Mathematical Physics Problems","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":false,"ca_institutions":"Lakehead University","funders":"","keywords":"Vortex; Invariant (physics); Mathematical physics; Mathematics; Physics; Landau–Lifshitz–Gilbert equation; Landau quantization; Mathematical analysis; Magnetic field; Quantum mechanics; Magnetization; 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":["metaepi_narrow","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.001363652,0.000379351,0.0005528789,0.000112705,0.0006378585,0.00008244334,0.002000164,0.0001246527,0.0001265574],"category_scores_gemma":[0.00248451,0.0003005686,0.0002044462,0.001101371,0.000436906,0.0004401292,0.001210356,0.0007609583,0.001538464],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002165949,"about_ca_system_score_gemma":0.00007745056,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000008571907,"about_ca_topic_score_gemma":0.00003653786,"domain_scores_codex":[0.9970406,0.0002747765,0.0009596035,0.0003024257,0.0004804505,0.0009421921],"domain_scores_gemma":[0.9901379,0.005230734,0.0002135917,0.00393518,0.0001699231,0.0003126599],"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":[0.000003598125,0.002373454,0.00003598447,0.00009865357,0.00003461917,2.593164e-7,0.004322811,0.0001942018,0.0005415119,0.9881931,0.001504695,0.002697127],"study_design_scores_gemma":[0.0004331745,0.0000347583,0.0001552701,0.0001449803,0.00009874096,0.000004219167,0.0004209543,0.05150676,0.00009126157,0.9451293,0.001601441,0.0003790789],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.001713282,0.0002449165,0.9813662,0.004691914,0.0001343745,0.001797887,0.00003474811,0.0001866145,0.009830045],"genre_scores_gemma":[0.5921955,0.00002316575,0.4059178,0.0003567893,0.0001776539,0.0008860157,0.00001455965,0.00007692279,0.0003516101],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.5904822,"threshold_uncertainty_score":0.9999446,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1913468904587943,"score_gpt":0.3966309293187377,"score_spread":0.2052840388599434,"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."}}