{"id":"W2091081823","doi":"10.1214/105051605000000421","title":"Analysis of phase transitions in the mean-field Blume–Emery–Griffiths model","year":2005,"lang":"en","type":"article","venue":"The Annals of Applied Probability","topic":"Theoretical and Computational Physics","field":"Physics and Astronomy","cited_by":37,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Royal Society; National Science Foundation","keywords":"Phase transition; Thermodynamic limit; Canonical ensemble; Limit (mathematics); Measure (data warehouse); Microcanonical ensemble; Large deviations theory; Phase (matter)","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":[0.0007546059,0.0002443327,0.0005211115,0.0007761436,0.0006409272,0.0005937429,0.0008368515,0.000642121,0.002800938],"category_scores_gemma":[0.002085337,0.0001863282,0.0005308388,0.0003432992,0.001517058,0.001411004,0.0007315727,0.000630576,0.0001764802],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009961767,"about_ca_system_score_gemma":0.0007070639,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002375234,"about_ca_topic_score_gemma":0.001243745,"domain_scores_codex":[0.9997745,0.00007363701,0.000006904037,0.00002391531,0.00007987492,0.00004115979],"domain_scores_gemma":[0.9994872,0.000253753,0.00008050619,0.00006425446,0.00006155793,0.0000526787],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.00005510761,0.00003875464,0.0007817074,0.00005073068,0.00002484421,0.0001228783,0.0001375975,0.2158911,0.006086077,0.773578,0.0005479938,0.002685248],"study_design_scores_gemma":[0.00001222445,0.00001969879,0.0004088735,0.000005714324,0.000005267998,0.0000364767,0.00002496628,0.7698436,0.0009528476,0.2282509,0.0004245841,0.00001485163],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7176194,0.0008558863,0.2610138,0.001153564,0.00005192057,0.00004641815,0.0001367179,0.0002135716,0.01890868],"genre_scores_gemma":[0.9889714,0.0001657105,0.008302083,0.00006014756,0.00002295427,0.00003626789,0.00004770473,0.00002956009,0.002364099],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002800938,"threshold_uncertainty_score":0.009370089,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04154199511089243,"score_gpt":0.3178638217852617,"score_spread":0.2763218266743693,"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."}}