{"id":"W2317104771","doi":"10.1103/physreve.90.012501","title":"Equilibrium configurations of nematic liquid crystals on a torus","year":2014,"lang":"en","type":"article","venue":"Physical Review E","topic":"Liquid Crystal Research Advancements","field":"Materials Science","cited_by":37,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Fonds Québécois de la Recherche sur la Nature et les Technologies; Universities Space Research Association; Natural Sciences and Engineering Research Council of Canada; Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni; McGill University","keywords":"Liquid crystal; Torus; Toroid; Curvature; Surface (topology); Topology (electrical circuits); Materials science; Particle (ecology); Surface energy; Condensed matter physics; Physics; Geometry; Mathematics; Composite material; Plasma","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001946705,0.0002182845,0.0003107711,0.001013863,0.0009036173,0.001417196,0.0003523716,0.0006243402,0.00241272],"category_scores_gemma":[0.0005537384,0.0002395215,0.0002431707,0.0002911326,0.001139361,0.0008818259,0.0005430466,0.0002454167,0.0003528905],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009178577,"about_ca_system_score_gemma":0.0003231197,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0006975001,"about_ca_topic_score_gemma":0.0007472784,"domain_scores_codex":[0.9998734,0.00003077059,0.000007160585,0.00001742539,0.0000307801,0.00004049944],"domain_scores_gemma":[0.99984,0.00003406998,0.00003127403,0.00001341471,0.00003483086,0.00004647408],"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":[0.0005720423,0.00009709581,0.004006329,0.0001524612,0.00006171897,0.001565542,0.0005838652,0.07252181,0.07348464,0.8339221,0.002690582,0.01034176],"study_design_scores_gemma":[0.0002151629,0.0003162517,0.006112337,0.00006603153,0.00003506623,0.001094966,0.001183039,0.5452746,0.02554556,0.4157743,0.004273253,0.0001094979],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9721667,0.0002241946,0.01060048,0.0002431574,0.00002867414,0.00001410907,0.00006145838,0.00008509968,0.01657611],"genre_scores_gemma":[0.9961942,0.00007974441,0.002161762,0.00001931453,0.000009512419,0.00001668853,0.00005087726,0.00001882364,0.001449095],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00241272,"threshold_uncertainty_score":0.008071303,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03334967560900683,"score_gpt":0.3610924456096314,"score_spread":0.3277427700006246,"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."}}