{"id":"W1971954501","doi":"10.1103/physrevlett.106.135701","title":"Finite-Temperature Critical Behavior of Mutual Information","year":2011,"lang":"en","type":"article","venue":"Physical Review Letters","topic":"Quantum many-body systems","field":"Physics and Astronomy","cited_by":74,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"National Science Foundation","keywords":"Physics; Ising model; Scaling; Mathematical physics; Monte Carlo method; Logarithm; Homogeneous space; Statistical physics; Entropy (arrow of time); Quantum Monte Carlo; Singularity; Quantum mechanics; Statistics; Mathematics; Geometry; Mathematical analysis","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0001069759,0.0001559557,0.0003673743,0.00003081783,0.00003581887,0.00001690779,0.0001874808,0.00001019555,0.0003021269],"category_scores_gemma":[0.00003731838,0.0001286561,0.0002116457,0.0001494723,0.00009547241,0.0004360939,0.00004196926,0.0001827052,0.0004022137],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000009379333,"about_ca_system_score_gemma":0.00001749101,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00004425964,"about_ca_topic_score_gemma":9.232232e-8,"domain_scores_codex":[0.9990115,0.0000727619,0.0003609151,0.0001288173,0.0002240847,0.0002019878],"domain_scores_gemma":[0.9993274,0.0001061674,0.0001281755,0.0002822898,0.00007516769,0.00008075742],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","study_design_scores_codex":[0.00006807182,0.002590017,0.04688749,0.009409612,0.0003420427,0.00001930177,0.006807069,0.00002140861,0.07438182,0.7759345,0.06032753,0.02321117],"study_design_scores_gemma":[0.01129601,0.003689537,0.2797017,0.05308297,0.01088629,0.00005714966,0.003190474,0.03041525,0.210858,0.02123083,0.3605071,0.01508472],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9935406,0.0003972651,0.000994034,0.0007681665,0.0002628032,0.0005941039,0.00008070237,0.00003979732,0.003322564],"genre_scores_gemma":[0.9978465,0.00001449926,0.0001228247,0.001649205,0.0002387297,0.00006784894,0.00004462971,0.00001085707,0.000004890608],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.7547036,"threshold_uncertainty_score":0.5246443,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01996281537340053,"score_gpt":0.2868196930155271,"score_spread":0.2668568776421265,"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."}}