{"paper":{"title":"Bulk Viscosity and Relaxation Time of Causal Dissipative Relativistic Fluid Dynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","hep-ph","physics.flu-dyn"],"primary_cat":"nucl-th","authors_text":"Dirk H. Rischke, Takeshi Kodama, Tomoi Koide, Xu-Guang Huang","submitted_at":"2010-10-21T03:48:57Z","abstract_excerpt":"The microscopic formulae of the bulk viscosity $\\zeta $ and the corresponding relaxation time $\\tau_{\\Pi}$ in causal dissipative relativistic fluid dynamics are derived by using the projection operator method. In applying these formulae to the pionic fluid, we find that the renormalizable energy-momentum tensor should be employed to obtain consistent results. In the leading order approximation in the chiral perturbation theory, the relaxation time is enhanced near the QCD phase transition and $\\tau_{\\Pi}$ and $\\zeta $ are related as $\\tau_{\\Pi}=\\zeta /[\\beta \\{(1/3-c_{s}^{2})(\\epsilon +P)-2(\\e"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.4359","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}