{"id":"W2977466058","doi":"10.1007/978-3-030-28187-8_10","title":"Landau Theory for Two or More Order Parameters","year":2019,"lang":"en","type":"book-chapter","venue":"Graduate texts in physics","topic":"Multiferroics and related materials","field":"Materials Science","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"McMaster University; Brockhouse Institute for Materials Research","funders":"","keywords":"Spins; Isotropy; Phase diagram; Hamiltonian (control theory); Order (exchange); Physics; Statistical physics; Landau theory; Theoretical physics; Mathematical physics; Condensed matter physics; Mathematics; Quantum mechanics; Phase (matter); Phase transition; Mathematical optimization","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":[0.0002507401,0.0008846945,0.0008139876,0.001381019,0.001127795,0.001645011,0.001019624,0.001344568,0.01780893],"category_scores_gemma":[0.0004303907,0.0003522885,0.0005373657,0.0009848521,0.001812861,0.002540371,0.0007251695,0.002085953,0.005938578],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001464662,"about_ca_system_score_gemma":0.0007125876,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0008144904,"about_ca_topic_score_gemma":0.00114607,"domain_scores_codex":[0.9998374,0.00002589052,0.000006819464,0.00002115383,0.00008410517,0.00002462895],"domain_scores_gemma":[0.9998623,0.00005069578,0.000007877607,0.00003695611,0.00003024655,0.00001185657],"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":[0.000002333186,0.000006725485,0.000006688093,0.00002987117,0.000001715261,0.00001864691,0.00003937046,0.0002399423,0.0004457781,0.9897196,0.005401119,0.004088266],"study_design_scores_gemma":[0.000002705153,0.000004090552,0.00003612413,0.00002130391,0.000002188461,0.00008785939,0.00001737436,0.002891206,0.0004944377,0.9550483,0.04138683,0.000007659904],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.01245963,0.01050512,0.08117264,0.003558071,0.00207999,0.00004284786,0.0003759032,0.0006987766,0.889107],"genre_scores_gemma":[0.1873087,0.007012385,0.04122022,0.001600197,0.001210795,0.0001708531,0.0004978189,0.0005687496,0.7604103],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.01780893,"threshold_uncertainty_score":0.05957675,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06995670467021341,"score_gpt":0.312848591863438,"score_spread":0.2428918871932246,"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."}}