{"id":"W1600285411","doi":"10.1002/9781119974543.app3","title":"Appendix 3: The Boltzmann Distribution Function","year":2011,"lang":"en","type":"other","venue":"","topic":"Advanced Thermodynamics and Statistical Mechanics","field":"Physics and Astronomy","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"McMaster University","funders":"","keywords":"Statistical physics; Distribution (mathematics); Boltzmann constant; Distribution function; Function (biology); Boltzmann distribution; Maxwell–Boltzmann distribution; Mathematics; Boltzmann equation; Physics; Mathematical analysis; Thermodynamics; Biology; Nuclear physics; Plasma","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":["insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.001264565,0.00114043,0.0009979783,0.002467225,0.00081449,0.002332635,0.001898101,0.001480891,0.5847048],"category_scores_gemma":[0.01881806,0.0007071843,0.0007167978,0.003490046,0.0004447175,0.003480469,0.001217091,0.002151726,0.4078571],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002343342,"about_ca_system_score_gemma":0.003452468,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.01236188,"about_ca_topic_score_gemma":0.009315415,"domain_scores_codex":[0.9985837,0.000310576,0.0001467544,0.0001642794,0.0007195041,0.00007528824],"domain_scores_gemma":[0.9898493,0.004266035,0.0002584044,0.0009748185,0.004507814,0.0001436001],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"not_applicable","study_design_gemma":"not_applicable","study_design_scores_codex":[0.00001432018,0.00002746556,0.0001683134,0.0001834198,0.000005138844,0.000028562,0.00001999721,0.001691433,0.0001173805,0.03611451,0.9304426,0.03118692],"study_design_scores_gemma":[0.000014068,0.000007526776,0.0004085226,0.000176415,0.000004480197,0.0001423716,0.00002217288,0.002759348,0.0002948537,0.03619945,0.9599442,0.00002649842],"study_design_candidate":"not_applicable","study_design_consensus":"not_applicable","genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.001009115,0.001847626,0.1243362,0.003949636,0.004293579,0.0005428481,0.3176082,0.006567902,0.5398449],"genre_scores_gemma":[0.02157468,0.004989808,0.1035409,0.003259728,0.002668653,0.001552723,0.2680779,0.01314826,0.5811873],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.5847048,"threshold_uncertainty_score":0.5923681,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.007819448869951364,"score_gpt":0.2223379204245589,"score_spread":0.2145184715546075,"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."}}