{"id":"W2040567326","doi":"10.1103/physreve.64.026120","title":"Adiabatic elimination and reduced probability distribution functions in spatially extended systems with a fluctuating control parameter","year":2001,"lang":"en","type":"article","venue":"Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics","topic":"Nonlinear Dynamics and Pattern Formation","field":"Computer Science","cited_by":16,"is_retracted":false,"has_abstract":true,"ca_institutions":"McGill University","funders":"","keywords":"Physics; Adiabatic process; Statistical physics; Fokker–Planck equation; Probability distribution; Probability density function; Distribution (mathematics); Distribution function; Conditional probability; Mathematical analysis; Mathematics; Quantum mechanics; Statistics; Differential equation","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":[],"consensus_categories":[],"category_scores_codex":[0.0007766211,0.000350559,0.0005889157,0.001004125,0.0006109725,0.0007518668,0.0009922283,0.000500672,0.001734378],"category_scores_gemma":[0.002257307,0.0002733149,0.0007717825,0.0004489425,0.001809676,0.001308125,0.0007447153,0.0008316804,0.0002319464],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001151899,"about_ca_system_score_gemma":0.0008032546,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003462864,"about_ca_topic_score_gemma":0.002257715,"domain_scores_codex":[0.9998034,0.00005551444,0.000009157624,0.00001610798,0.0000646559,0.00005121242],"domain_scores_gemma":[0.9991837,0.0003227567,0.000158858,0.0001223793,0.0001171057,0.0000951598],"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":[0.00007119166,0.00005831284,0.001267516,0.00007023079,0.00004116475,0.0003512464,0.0003067022,0.2626956,0.008138776,0.7206309,0.0004044441,0.005963966],"study_design_scores_gemma":[0.00001719054,0.00001607279,0.0006083483,0.000006020598,0.00001085697,0.00005588537,0.00002578389,0.8739281,0.001490116,0.1234771,0.0003430457,0.0000214775],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8140615,0.0005196483,0.1755727,0.0004470182,0.00003078557,0.00003912582,0.0001016846,0.0001796427,0.009047952],"genre_scores_gemma":[0.9847616,0.0002604223,0.01232092,0.00003665641,0.00002187235,0.00005111058,0.00007361467,0.000035492,0.002438363],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003462864,"threshold_uncertainty_score":0.008357704,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01022942789716211,"score_gpt":0.2745616896291724,"score_spread":0.2643322617320102,"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."}}