{"id":"W2149570896","doi":"10.1023/b:joss.0000041751.11664.ea","title":"Moment Inequalities and High-Energy Tails for Boltzmann Equations with Inelastic Interactions","year":2004,"lang":"en","type":"article","venue":"Journal of Statistical Physics","topic":"Gas Dynamics and Kinetic Theory","field":"Mathematics","cited_by":140,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Victoria","funders":"","keywords":"Statistical physics; Moment (physics); Physics; Boltzmann constant; Boltzmann equation; Inelastic collision; Classical mechanics; Mathematics; Quantum mechanics","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":[0.0001393385,0.0001072929,0.0002440877,0.0000462891,0.00007258636,0.00004239498,0.00006034656,0.00002110717,0.00001191579],"category_scores_gemma":[0.0002613119,0.00007858646,0.00003674483,0.00005865525,0.0000941269,0.0001105225,0.00001874562,0.0001235263,6.362566e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000642412,"about_ca_system_score_gemma":0.00007927597,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001442348,"about_ca_topic_score_gemma":0.00001671046,"domain_scores_codex":[0.9992138,0.00002469588,0.0003598108,0.00007844641,0.0001862622,0.000136994],"domain_scores_gemma":[0.9979547,0.001379083,0.0002465924,0.0000816121,0.0002424721,0.00009558088],"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":[0.00007528874,0.0002107379,0.000004391258,0.00005504589,0.00008480807,0.00000672492,0.0003043306,0.001111588,0.0001102195,0.996286,0.0001655578,0.001585351],"study_design_scores_gemma":[0.001045211,0.0005798546,0.00009920993,0.0001036361,0.0001502777,0.00002654854,0.0002902929,0.002044297,0.00007622984,0.9953363,0.0001530875,0.00009503239],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.02105783,0.00001349523,0.9781197,0.0004345596,0.0001021162,0.00006887454,0.000110256,0.00000678702,0.00008637966],"genre_scores_gemma":[0.8570911,0.000008087975,0.1425573,0.00005189433,0.0001733182,0.000008423937,0.00000761328,0.00001696739,0.00008527203],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.8360333,"threshold_uncertainty_score":0.3204663,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02991168613274256,"score_gpt":0.3023050881765524,"score_spread":0.2723934020438099,"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."}}