{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008938242,0.000316535,0.0003780577,0.0007206072,0.0005473283,0.0008828334,0.0006811649,0.0005229386,0.001448921],"category_scores_gemma":[0.004434367,0.0002347666,0.000210841,0.0003092761,0.003095665,0.001535148,0.000858056,0.0008835227,0.0001885724],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000479549,"about_ca_system_score_gemma":0.0002837224,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004478477,"about_ca_topic_score_gemma":0.0002861447,"domain_scores_codex":[0.9994516,0.0001823666,0.0000188342,0.0001050797,0.0001551023,0.00008700916],"domain_scores_gemma":[0.995742,0.002685306,0.0005885462,0.0005603764,0.0002256019,0.0001980628],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00008749217,0.0000463233,0.002652411,0.00006777359,0.0000134633,0.0001987644,0.0003717862,0.01573277,0.0181336,0.9524398,0.000418592,0.009837137],"study_design_scores_gemma":[0.00001164838,0.00005425535,0.00350455,0.00001493994,0.000009822797,0.00039263,0.0001103879,0.1835575,0.009199775,0.8018148,0.001294743,0.00003491815],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8872071,0.0004662271,0.0905261,0.0006288405,0.00002839949,0.0000212707,0.0000608296,0.0001846229,0.02087651],"genre_scores_gemma":[0.9940003,0.00009816966,0.004242346,0.00005061067,0.00002228702,0.00002365909,0.00001982011,0.00003646178,0.001506395],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.001448921,"threshold_uncertainty_score":0.004847169,"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."}}