{"id":"W4412642591","doi":"10.1007/s10955-025-03489-8","title":"Mesoscopic and Macroscopic Entropy Balance Equations in a Stochastic Dynamics and Its Deterministic Limit","year":2025,"lang":"en","type":"article","venue":"Journal of Statistical Physics","topic":"Advanced Thermodynamics and Statistical Mechanics","field":"Physics and Astronomy","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Alberta","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mesoscopic physics; Statistical physics; Detailed balance; Stochastic dynamics; Limit (mathematics); Mathematics; Entropy (arrow of time); Stochastic process; Physics; Classical mechanics; Mathematical analysis; Quantum mechanics; Statistics","routes":{"ca_aff":true,"ca_fund":true,"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":[0.00009769974,0.0001568739,0.000366411,0.00006191192,0.00007559866,0.00005214975,0.00009512559,0.00003399315,0.00002212362],"category_scores_gemma":[0.000162146,0.0001460814,0.00002842353,0.0001485272,0.00008022961,0.0001017207,0.00006084585,0.000310081,0.000001639521],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005927686,"about_ca_system_score_gemma":0.00009214917,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000006066348,"about_ca_topic_score_gemma":0.000004058998,"domain_scores_codex":[0.9989766,0.00004407754,0.0004395173,0.0001665277,0.0001437141,0.0002294926],"domain_scores_gemma":[0.9986054,0.0009171534,0.0001716101,0.00008481582,0.0001041422,0.0001168732],"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":[0.00003080565,0.00009981505,0.0005849997,0.00003950791,0.00003424989,0.00001066406,0.0000443176,0.000558774,0.000194535,0.9740642,0.000004641788,0.02433343],"study_design_scores_gemma":[0.0005741271,0.00009200735,0.001498795,0.0001038699,0.00004906348,0.000001417014,0.00005824822,0.4906559,0.00001381719,0.5068681,0.000003523704,0.00008113786],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.04249559,0.0001164577,0.9565455,0.0001124146,0.0001391964,0.0001241685,0.000265839,0.000003579929,0.0001972374],"genre_scores_gemma":[0.9904983,0.00001619383,0.00928748,0.00004922449,0.00006149746,0.000005889407,0.00001174891,0.0000119707,0.00005766822],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.9480028,"threshold_uncertainty_score":0.5957028,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.007490228591505725,"score_gpt":0.2849570621190904,"score_spread":0.2774668335275847,"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."}}