{"id":"W4225532532","doi":"10.1007/s00023-023-01281-6","title":"Approach to Equilibrium in Translation-Invariant Quantum Systems: Some Structural Results","year":2023,"lang":"en","type":"article","venue":"Annales Henri Poincaré","topic":"Advanced Thermodynamics and Statistical Mechanics","field":"Physics and Astronomy","cited_by":4,"is_retracted":false,"has_abstract":false,"ca_institutions":"McGill University","funders":"Agence Nationale de la Recherche","keywords":"Zeroth law of thermodynamics; Statistical physics; Entropy (arrow of time); Statistical mechanics; Mathematics; Algebraic number; Quantum; Quantum statistical mechanics; Invariant (physics); Second law of thermodynamics; Entropy in thermodynamics and information theory; Mathematical economics; Thermodynamics; Maximum entropy thermodynamics; Physics; Joint quantum entropy; Quantum mechanics; Mathematical physics; 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":[0.0002366489,0.0001973549,0.000280194,0.0001473255,0.00007362425,0.0000605872,0.0002036328,0.000049824,0.000009972314],"category_scores_gemma":[0.00001876202,0.0001832916,0.00007342047,0.0004521417,0.00002347045,0.0001649289,0.00005883068,0.0001733765,0.00009751824],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002610758,"about_ca_system_score_gemma":0.00004468821,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0002014574,"about_ca_topic_score_gemma":0.000006131586,"domain_scores_codex":[0.9984168,0.0000718624,0.0004297171,0.0003968308,0.000213003,0.0004717703],"domain_scores_gemma":[0.9992994,0.0001529105,0.00007016548,0.0002815984,0.00004422863,0.0001516903],"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":[0.00008987114,0.00003810782,0.000121322,0.00003875153,0.00003151226,0.00001033483,0.0007828756,0.02037345,0.0009058447,0.9736726,0.000283421,0.003651849],"study_design_scores_gemma":[0.0007111579,0.00006379017,0.001443808,0.00004487102,0.000009556947,0.000001432241,0.0008217318,0.8297375,0.00003616134,0.1658985,0.0009230168,0.0003084321],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7630063,0.0003134985,0.2125644,0.001142946,0.0009553139,0.001482236,0.002996119,0.0002972016,0.01724202],"genre_scores_gemma":[0.9975294,0.000003651553,0.001443164,0.00004728065,0.0002286321,0.00005230904,0.0004447166,0.0000329066,0.0002179257],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.8093641,"threshold_uncertainty_score":0.7474416,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02995096397667794,"score_gpt":0.2826665253659439,"score_spread":0.252715561389266,"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."}}