{"id":"W1547693079","doi":"10.1007/s00205-016-1005-z","title":"Minimizers of the Landau–de Gennes Energy Around a Spherical Colloid Particle","year":2016,"lang":"en","type":"article","venue":"Archive for Rational Mechanics and Analysis","topic":"Liquid Crystal Research Advancements","field":"Materials Science","cited_by":36,"is_retracted":false,"has_abstract":false,"ca_institutions":"McMaster University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Anchoring; Homeotropic alignment; Condensed matter physics; Liquid crystal; Tensor (intrinsic definition); Physics; Colloid; RADIUS; Eigenvalues and eigenvectors; Dipole; Limiting; Asymmetry; Rotational symmetry; Classical mechanics; Geometry; Quantum mechanics; Mathematics; Chemistry; Mechanics","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":[0.0002170487,0.00005446636,0.0001188526,0.00002559759,0.0001061654,0.00002090328,0.0001259376,0.00001201935,0.00009688189],"category_scores_gemma":[0.0001884921,0.00002946186,0.00009952647,0.0001651733,0.00004559243,0.00007226062,0.00008015415,0.00001219989,0.000001101211],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002177705,"about_ca_system_score_gemma":0.00006093488,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003433362,"about_ca_topic_score_gemma":0.0001540789,"domain_scores_codex":[0.9992622,0.00005998617,0.0001458334,0.0001496286,0.0002181077,0.0001642962],"domain_scores_gemma":[0.9994282,0.0002565618,0.00007071235,0.0001156742,0.00006406661,0.00006482163],"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":[0.00009389282,0.00002937572,0.0005968318,0.000004022201,0.00009152608,1.955971e-7,0.00004235061,0.0001688308,0.8865537,0.1120613,0.00004988104,0.0003080287],"study_design_scores_gemma":[0.001055196,0.0002392884,0.0007956608,0.0000177974,0.0002510514,0.000001387944,0.0001728872,0.09140082,0.5926901,0.3108035,0.002434946,0.0001373947],"study_design_candidate":"bench_or_experimental","study_design_consensus":"bench_or_experimental","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.4327895,0.0000264315,0.566136,0.0006462372,0.00002282867,0.00007031569,0.0002833686,0.000004003789,0.00002127915],"genre_scores_gemma":[0.9923441,0.00002758979,0.007127401,0.0000745699,0.00002411496,0.00004574531,0.000008233753,0.000004183217,0.0003440669],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.5595546,"threshold_uncertainty_score":0.120142,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01455312442339779,"score_gpt":0.2652750513420844,"score_spread":0.2507219269186866,"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."}}