{"id":"W2033825623","doi":"10.4171/ifb/191","title":"The critical mass constraint in the Cahn–Hilliard equation","year":2008,"lang":"en","type":"article","venue":"Interfaces and Free Boundaries Mathematical Analysis Computation and Applications","topic":"Solidification and crystal growth phenomena","field":"Materials Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"National Science Foundation","keywords":"RADIUS; Constraint (computer-aided design); Critical radius; Boundary value problem; Critical mass (sociodynamics); Domain (mathematical analysis); Critical point (mathematics); Boundary (topology); Physics; Cahn–Hilliard equation; Mathematical analysis; Mechanics; Mathematics; Geometry; Partial 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":"codex-gemma-dda1882f352a","candidate_categories":["sts"],"consensus_categories":[],"category_scores_codex":[0.0005120807,0.0001129847,0.0001886584,0.00006655695,0.001300217,0.0007390042,0.0002311515,0.00003973362,0.00006707983],"category_scores_gemma":[0.0001411738,0.00006651204,0.00004712285,0.0003955915,0.001967738,0.0001072579,0.00005426307,0.0001023432,0.0000276568],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001682229,"about_ca_system_score_gemma":0.00003277215,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002691914,"about_ca_topic_score_gemma":0.00005063145,"domain_scores_codex":[0.9988345,0.000116438,0.0004087185,0.0002327088,0.0002419075,0.0001657311],"domain_scores_gemma":[0.9984729,0.001033445,0.00009045488,0.0002445974,0.0000969595,0.00006159554],"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":[0.00001165194,0.00009176035,0.0002806004,0.00003182111,0.00004762955,9.718228e-7,0.004625119,0.0002790019,0.001222386,0.9910833,0.0002067954,0.002118924],"study_design_scores_gemma":[0.0004144349,0.00006305722,0.003831183,0.00001799277,0.0002761142,0.0000435886,0.01070141,0.1159587,0.000423909,0.8582583,0.009722648,0.000288609],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.138953,0.0003570502,0.8517229,0.006752095,0.00002346231,0.000326776,0.00002244173,0.00003908674,0.001803159],"genre_scores_gemma":[0.9962461,0.00005391388,0.003201191,0.0002156409,0.00002750194,0.000175804,0.00001000746,0.000004650235,0.00006520865],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.857293,"threshold_uncertainty_score":0.9999999,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03425930552015399,"score_gpt":0.2856862205146002,"score_spread":0.2514269149944462,"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."}}