{"paper":{"title":"Viscous anisotropic hydrodynamics for the Gubser flow","arxiv_id":"1704.04727","primary_cat":"nucl-th","submitted_at":"2017-04-16T06:16:16+00:00","version_compiled":"v1"},"notice":"Every quoted sentence is the authors' text from the arXiv listing abstract. Labels and probabilities are the outputs of classifier-1.13.0 on the question bank abstract-p1-20260923, exactly as returned. No sentence in this record was written by a language model.","schema":"pith.compiled-record/v0","status":"compiled","abstract":{"source":"arXiv listing abstract v1","sentences":[{"i":0,"p":0.94,"id":"s0","own":true,"role":"contribution","text":"In this work we describe the dynamics of a highly anisotropic system undergoing boost-invariant longitudinal and azimuthally symmetric radial expansion (Gubser flow) for arbitrary shear viscosity to entropy density ratio.","hedge":{"p":0.95,"label":"asserted"},"own_p":0.73,"main_claim_p":0.06,"quantitative":false,"quantitative_p":0.1,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.0,"background":0.06,"limitation":0.0,"future_work":0.0,"contribution":0.94,"interpretation":0.0}},{"i":1,"p":0.92,"id":"s1","own":true,"role":"method","text":"We derive the equations of motion of dissipative anisotropic hydrodynamics by applying to this situation the moments method recently derived by Moln\\'ar et al. (MNR) [1,2], based on an expansion around an arbitrary anisotropic one-particle distribution function.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.91,"main_claim_p":0.04,"quantitative":false,"quantitative_p":0.15,"role_probabilities":{"gap":0.0,"method":0.92,"result":0.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.08,"interpretation":0.0}},{"i":2,"p":0.54,"id":"s2","own":false,"role":"method","text":"One requires an additional evolution equation in order to close the conservation laws.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.2,"main_claim_p":0.02,"quantitative":false,"quantitative_p":0.23,"role_probabilities":{"gap":0.18,"method":0.54,"result":0.0,"background":0.26,"limitation":0.0,"future_work":0.0,"contribution":0.02,"interpretation":0.0}},{"i":3,"p":0.98,"id":"s3","own":true,"role":"method","text":"This is achieved by selecting the relaxation equation for the longitudinal pressure with a suitable Landau matching condition.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.84,"main_claim_p":0.03,"quantitative":false,"quantitative_p":0.04,"role_probabilities":{"gap":0.0,"method":0.98,"result":0.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.02,"interpretation":0.0}},{"i":4,"p":0.49,"id":"s4","own":true,"role":"result","text":"As a result one obtains two coupled differential equations for the energy density and the longitudinal pressure which respect the $SO(3)_q\\otimes SO(1,1)\\otimes Z_2$ symmetry of the Gubser flow in the deSitter space.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.91,"main_claim_p":0.08,"quantitative":false,"quantitative_p":0.31,"role_probabilities":{"gap":0.0,"method":0.28,"result":0.49,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.23,"interpretation":0.0}},{"i":5,"p":0.74,"id":"s5","own":true,"role":"method","text":"These equations are solved numerically and compared with the predictions of the recently found exact solution of the relaxation-time-approximation Boltzmann equation subject to the same flow.","hedge":{"p":0.94,"label":"asserted"},"own_p":0.89,"main_claim_p":0.06,"quantitative":true,"quantitative_p":0.56,"role_probabilities":{"gap":0.0,"method":0.74,"result":0.09,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.17,"interpretation":0.0}},{"i":6,"p":0.75,"id":"s6","own":true,"role":"method","text":"We also compare our numerical results with other fluid dynamical models.","hedge":{"p":0.65,"label":"asserted"},"own_p":0.88,"main_claim_p":0.03,"quantitative":false,"quantitative_p":0.2,"role_probabilities":{"gap":0.0,"method":0.75,"result":0.05,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.2,"interpretation":0.0}},{"i":7,"p":0.94,"id":"s7","own":true,"role":"result","text":"We observe that the MNR description of anisotropic fluid dynamics reproduces the space-time evolution of the system than all other currently known hydrodynamical approaches.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.89,"main_claim_p":0.84,"quantitative":true,"quantitative_p":0.85,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.94,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.06}}]},"compiled":{"main_claim":{"p":1.0,"text":"We observe that the MNR description of anisotropic fluid dynamics reproduces the space-time evolution of the system than all other currently known hydrodynamical approaches.","location":"abstract s7","hedge_strength":{"p":1.0,"label":"asserted"}},"provenance":{"route":{"via":"TypeSafe API","model":"classifier-1.13.0","endpoint":"https://api.typesafe.ai/v1/systemone","provider":"TypeSafe"},"packing":"one request per paper","requests":1,"input_tokens":6374,"cost_usd_reported":0.0},"compiled_at":"2026-09-23","bank_version":"abstract-p1-20260923","model_version":"classifier-1.13.0","abstract_states":{"claims_first":0.06,"states_limitation":0.19,"human_participants":0.01,"controlled_comparison":0.37,"randomized_assignment":0.01,"states_quantitative_result":0.06,"compares_with_prior_results":0.98,"mentions_code_or_data_availability":0.02},"evidential_basis":{"p":0.94,"value":"simulation or computation","probabilities":{"argument":0.0,"literature":0.0,"proof_or_derivation":0.06,"analysis_of_existing_data":0.0,"observation_or_experiment":0.0,"simulation_or_computation":0.94}},"contribution_type":{"p":0.78,"value":"theoretical result","probabilities":{"review":0.0,"method_or_tool":0.12,"empirical_study":0.0,"simulation_study":0.1,"theoretical_result":0.78,"dataset_or_benchmark":0.0,"position_or_commentary":0.0}},"contribution_statement":{"p":0.85,"text":"We derive the equations of motion of dissipative anisotropic hydrodynamics by applying to this situation the moments method recently derived by Moln\\'ar et al. 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