{"id":"W2064469196","doi":"10.1103/physreve.66.021101","title":"Pairing of Lyapunov exponents for a hard-sphere gas under shear in the thermodynamic limit","year":2002,"lang":"en","type":"article","venue":"Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics","topic":"Advanced Thermodynamics and Statistical Mechanics","field":"Physics and Astronomy","cited_by":7,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"","keywords":"Hard spheres; Thermostat; Physics; Kinetic energy; Lyapunov exponent; Classical mechanics; Pairing; SPHERES; Shear rate; Shear (geology); Gaussian; Thermodynamics; Statistical physics; Materials science; Quantum mechanics; Viscosity; Nonlinear system","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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0002071141,0.0004114469,0.0008186891,0.00003136609,0.000205292,0.00003825853,0.0003527495,0.00007541682,0.0001550431],"category_scores_gemma":[0.00005363316,0.0002978609,0.0002613174,0.0001939373,0.0002622917,0.000155633,0.0002507648,0.0005764432,0.00002540901],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00004556222,"about_ca_system_score_gemma":0.00001866808,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001169884,"about_ca_topic_score_gemma":0.000002724238,"domain_scores_codex":[0.9977052,0.0001673104,0.0007559035,0.000552281,0.0003079011,0.0005113555],"domain_scores_gemma":[0.9982483,0.0008976078,0.000197745,0.000424231,0.00009148784,0.0001405888],"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":[0.00005295081,0.0009774126,0.00009677866,0.0005981462,0.0001563846,0.000007910927,0.001160373,0.0002192528,0.0005352768,0.9131587,0.0006296479,0.08240716],"study_design_scores_gemma":[0.0006244794,0.0002894284,0.0005194246,0.0006218383,0.0001485668,0.000002819881,0.0002953743,0.3257078,0.00003643383,0.6712789,0.0001812554,0.0002937446],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1578818,0.003197254,0.8197349,0.002553367,0.0005973835,0.002516046,0.001370846,0.00007186193,0.01207659],"genre_scores_gemma":[0.9949399,0.0007852256,0.003259074,0.0001404242,0.0002688536,0.0001345226,0.0001754384,0.00005907887,0.0002374449],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.8370582,"threshold_uncertainty_score":0.9999474,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02129795402967126,"score_gpt":0.3051005173426533,"score_spread":0.283802563312982,"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."}}