{"id":"W2898196399","doi":"10.3390/e20120907","title":"Concavity, Response Functions and Replica Energy","year":2018,"lang":"en","type":"article","venue":"Entropy","topic":"Statistical Mechanics and Entropy","field":"Physics and Astronomy","cited_by":13,"is_retracted":false,"has_abstract":true,"ca_institutions":"Université de Sherbrooke","funders":"Istituto Nazionale di Fisica Nucleare","keywords":"Replica; Additive function; Partition function (quantum field theory); Function (biology); Thermodynamic limit; Replica trick; Statistical ensemble; Independent and identically distributed random variables; Thermodynamic potential","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":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.00008141923,0.00008152704,0.00009328309,0.00002389911,0.0001494322,0.00003937222,0.00005216507,0.00001975746,0.001965821],"category_scores_gemma":[0.00002288715,0.00007296818,0.00002936675,0.00006499493,0.00007364864,0.00003304896,0.00005395206,0.00005211922,0.0001535898],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00000975126,"about_ca_system_score_gemma":0.00001817726,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001315906,"about_ca_topic_score_gemma":0.000001037071,"domain_scores_codex":[0.9994019,0.00004782393,0.0001013223,0.0001929568,0.00007548151,0.0001804771],"domain_scores_gemma":[0.9995273,0.0001069483,0.00003045755,0.0001846682,0.0000426515,0.0001079622],"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":[0.0001455742,0.00003176181,0.001439969,5.78047e-7,0.00002205145,0.000001250796,0.00002833163,1.323985e-7,0.004104302,0.9701718,0.0131464,0.01090786],"study_design_scores_gemma":[0.001615539,0.0007683731,0.007895035,0.0000157839,0.0000694249,0.0000055469,0.0002872931,0.01089942,0.009912262,0.1940337,0.774084,0.0004136019],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3567008,0.00004760054,0.6209229,0.00111987,0.0006839857,0.00009687021,0.0001378185,0.00007342158,0.02021666],"genre_scores_gemma":[0.9955165,0.000001359991,0.0006542802,0.0001543,0.000556652,0.00001312747,0.00001039776,0.00001078467,0.003082606],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.7761381,"threshold_uncertainty_score":0.9989465,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.008522572587837287,"score_gpt":0.2473478856450498,"score_spread":0.2388253130572126,"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."}}