{"id":"W2334453068","doi":"10.1103/physreve.89.022722","title":"Singular perturbation solutions of steady-state Poisson-Nernst-Planck systems","year":2014,"lang":"en","type":"article","venue":"Physical Review E","topic":"Advanced Thermodynamics and Statistical Mechanics","field":"Physics and Astronomy","cited_by":53,"is_retracted":false,"has_abstract":true,"ca_institutions":"York University","funders":"","keywords":"Uniqueness; Transcendental equation; Nernst equation; Boundary value problem; Poisson's equation; Homogeneous space; Mathematics; Uniqueness theorem for Poisson's equation; Mathematical analysis; Applied mathematics; Physics; Differential equation; 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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008698961,0.0007106957,0.0007637361,0.001047553,0.0009925035,0.001483774,0.001260545,0.001494775,0.0019336],"category_scores_gemma":[0.003027449,0.0003689415,0.0008549262,0.000537587,0.002623908,0.001314865,0.002053567,0.001182497,0.0003087979],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001086939,"about_ca_system_score_gemma":0.0007727245,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002963046,"about_ca_topic_score_gemma":0.001228,"domain_scores_codex":[0.9997053,0.0000934026,0.00001471244,0.00004117743,0.00008496013,0.00006051617],"domain_scores_gemma":[0.9991933,0.0003574961,0.0001399232,0.00004934915,0.0001375515,0.000122332],"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":[0.00005312929,0.00007987297,0.0007506817,0.0001046258,0.00005198132,0.0006369556,0.0005329038,0.2632292,0.009449721,0.7201321,0.001182318,0.003796512],"study_design_scores_gemma":[0.00002153723,0.00002650653,0.000180635,0.00001345889,0.000008883902,0.00007404244,0.0001267567,0.8398075,0.001151484,0.1577954,0.0007705546,0.00002321133],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.518689,0.001122991,0.4186338,0.003046163,0.0003401723,0.0001208892,0.0001046884,0.0003495694,0.05759263],"genre_scores_gemma":[0.9589296,0.0006350997,0.02358381,0.000357826,0.0001566339,0.0001150026,0.00009190353,0.00007922587,0.01605087],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002963046,"threshold_uncertainty_score":0.007886291,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01429024668342535,"score_gpt":0.2798669914326852,"score_spread":0.2655767447492599,"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."}}