{"id":"W2963073937","doi":"10.48550/arxiv.math/0010110","title":"Minimizers of the Lawrence-Doniach energy in the small-coupling limit: finite width samples in a parallel field","year":2000,"lang":"en","type":"preprint","venue":"ArXiv.org","topic":"Nonlinear Partial Differential Equations","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"McMaster University","funders":"","keywords":"Degenerate energy levels; Superconductivity; Vortex; Physics; Condensed matter physics; Magnetic field; Perturbation (astronomy); Josephson effect; Quantum mechanics; 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":[0.0007857666,0.0003994676,0.0006020269,0.0007291482,0.0007284002,0.0009382582,0.0007453955,0.0007358936,0.001051939],"category_scores_gemma":[0.00188633,0.0003593839,0.0002634219,0.0002294481,0.00232526,0.00102346,0.0009782657,0.000511254,0.00006626513],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007781817,"about_ca_system_score_gemma":0.0004711589,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001865493,"about_ca_topic_score_gemma":0.001979836,"domain_scores_codex":[0.9998657,0.00004405195,0.000005769482,0.00002874114,0.00003292863,0.00002287758],"domain_scores_gemma":[0.999655,0.0001530126,0.00006903912,0.00003619809,0.00002886825,0.00005796195],"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":[0.0004037654,0.0002274652,0.006303219,0.0002253774,0.0001106336,0.0008234851,0.0005073876,0.4588252,0.06325231,0.4628976,0.0009921566,0.005431473],"study_design_scores_gemma":[0.00004349533,0.00009084913,0.001773677,0.00001494879,0.00001814238,0.00009592826,0.0002062544,0.9137248,0.005299471,0.07837487,0.000328,0.00002946158],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9639173,0.0001663467,0.03181729,0.0003420555,0.00001307641,0.00001977149,0.00003973967,0.00004332071,0.003641143],"genre_scores_gemma":[0.9931433,0.00008102458,0.005148786,0.00004161039,0.00001007222,0.00003504574,0.00004847515,0.00001945944,0.001472177],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.001865493,"threshold_uncertainty_score":0.005646169,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1721257634260268,"score_gpt":0.3251129034135553,"score_spread":0.1529871399875284,"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."}}