{"id":"W4322627271","doi":"10.1007/s00332-023-09895-0","title":"Far-Field Expansions for Harmonic Maps and the Electrostatics Analogy in Nematic Suspensions","year":2023,"lang":"en","type":"article","venue":"Journal of Nonlinear Science","topic":"Liquid Crystal Research Advancements","field":"Materials Science","cited_by":5,"is_retracted":false,"has_abstract":false,"ca_institutions":"McMaster University","funders":"Natural Sciences and Engineering Research Council of Canada; Agence Nationale de la Recherche; Simons Foundation","keywords":"Liquid crystal; Domain (mathematical analysis); Physics; Bounded function; Field (mathematics); Orientation (vector space); Energy (signal processing); Order (exchange); Homogeneous space; Anchoring; Analogy; Mathematical physics; Combinatorics; Geometry; Mathematical analysis; Mathematics; Quantum mechanics; Condensed matter physics; Pure mathematics","routes":{"ca_aff":true,"ca_fund":true,"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":[0.004094433,0.00007804733,0.0002139353,0.0003270568,0.0002633959,0.0001242986,0.0005797205,0.00002141222,0.00001326635],"category_scores_gemma":[0.005261189,0.00004673016,0.00004598045,0.001073293,0.0006830865,0.000436395,0.0002026374,0.0001860262,0.00001397585],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006171033,"about_ca_system_score_gemma":0.0005881281,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001591714,"about_ca_topic_score_gemma":0.00007702664,"domain_scores_codex":[0.9982306,0.00007465898,0.0004342205,0.0001594927,0.0006337972,0.0004672695],"domain_scores_gemma":[0.9980538,0.001099731,0.0002028732,0.0001899996,0.0003116866,0.0001418627],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"bench_or_experimental","study_design_gemma":"bench_or_experimental","study_design_scores_codex":[0.000255146,0.00005903199,0.0001296415,0.00002131957,0.000004189789,0.00004402688,0.0006541099,0.0005190033,0.993346,0.003277958,0.0007133344,0.0009761961],"study_design_scores_gemma":[0.01881984,0.005418153,0.005297074,0.0006799629,0.00009764571,0.0007196506,0.007166933,0.1291724,0.6543013,0.1674847,0.01006004,0.0007821497],"study_design_candidate":"bench_or_experimental","study_design_consensus":"bench_or_experimental","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9875939,0.000132504,0.004961544,0.006719942,0.0002375585,0.0003020242,0.000007964428,0.000008411866,0.00003609153],"genre_scores_gemma":[0.9743366,0.0005375476,0.02441601,0.0005062541,0.00007009572,0.00001354105,9.207857e-7,0.000009447635,0.0001095689],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.3390447,"threshold_uncertainty_score":0.6298515,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03415260849581013,"score_gpt":0.3604469523063056,"score_spread":0.3262943438104955,"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."}}