{"id":"W1907834685","doi":"10.1139/cjp-2012-0359","title":"Exact solution of the unsteady Krook kinetic model and nonequilibrium thermodynamic study for a rarefied gas affected by a nonlinear thermal radiation field","year":2012,"lang":"en","type":"article","venue":"Canadian Journal of Physics","topic":"Gas Dynamics and Kinetic Theory","field":"Mathematics","cited_by":21,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Physics; Non-equilibrium thermodynamics; Nonlinear system; Boltzmann equation; Conservation law; Entropy (arrow of time); Partial differential equation; Boltzmann constant; Classical mechanics; Differential equation; Thermodynamic potential; Entropy production; Kinetic energy; Thermal equilibrium; Thermodynamics; Statistical physics; Quantum mechanics","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0006397085,0.0007296073,0.0008717008,0.0008437841,0.0005654009,0.0008409118,0.001126549,0.001195726,0.001207685],"category_scores_gemma":[0.001139265,0.0003453172,0.001155087,0.000504051,0.001284154,0.001403607,0.001450092,0.001153214,0.0002724591],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008195349,"about_ca_system_score_gemma":0.001057777,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003937488,"about_ca_topic_score_gemma":0.002059969,"domain_scores_codex":[0.9997872,0.00005346311,0.00001258818,0.00003966492,0.0000732231,0.00003396158],"domain_scores_gemma":[0.9998001,0.00005049836,0.00004029315,0.00002338259,0.00006158384,0.00002413004],"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":[0.00005296283,0.00007195907,0.001542983,0.0003411767,0.00006263861,0.0007451533,0.0004387441,0.3554871,0.02173182,0.6069325,0.001699051,0.01089387],"study_design_scores_gemma":[0.000007055563,0.00002219481,0.0002053923,0.00001292485,0.000007570352,0.0001005649,0.00003340572,0.9537212,0.001016835,0.04342799,0.001428507,0.00001645532],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1203543,0.006270193,0.8487092,0.001329892,0.0004888877,0.0001152869,0.0001835897,0.0001026491,0.02244595],"genre_scores_gemma":[0.8628248,0.004224238,0.09117111,0.0003408934,0.0004550547,0.0003221455,0.0002662972,0.0001600277,0.0402355],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.003937488,"threshold_uncertainty_score":0.00782913,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01643158607426788,"score_gpt":0.2489269112296171,"score_spread":0.2324953251553492,"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."}}