{ "id": "1302.6311", "version": "v2", "published": "2013-02-26T04:29:08.000Z", "updated": "2013-05-14T06:33:31.000Z", "title": "Relativistic dissipative hydrodynamics from kinetic theory with relaxation time approximation", "authors": [ "Amaresh Jaiswal" ], "comment": "5 pages, 1 figure, supplemental material in the source, version to appear in PRC (Rapid Comm)", "journal": "Phys.Rev.C87:051901,2013", "doi": "10.1103/PhysRevC.87.051901", "categories": [ "nucl-th", "hep-ph", "hep-th", "physics.flu-dyn" ], "abstract": "Starting from Boltzmann equation with relaxation time approximation for the collision term and using Chapman-Enskog like expansion for distribution function close to equilibrium, we derive hydrodynamic evolution equations for the dissipative quantities directly from their definition. Although the form of the equations is identical to those obtained in traditional Israel-Stewart approaches employing Grad's 14-moment approximation and second moment of Boltzmann equation, the coefficients obtained are different. In the case of one-dimensional scaling expansion, we demonstrate that our results are in better agreement with numerical solution of Boltzmann equation as compared to Israel-Stewart results. We also show that including approximate higher-order corrections in viscous evolution significantly improves this agreement, thus justifying the relaxation time approximation for the collision term.", "revisions": [ { "version": "v2", "updated": "2013-05-14T06:33:31.000Z" } ], "analyses": { "subjects": [ "25.75.Ld", "24.10.Nz", "47.10.ad", "47.75.+f" ], "keywords": [ "relaxation time approximation", "relativistic dissipative hydrodynamics", "kinetic theory", "boltzmann equation", "collision term" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Physical Review C", "year": 2013, "month": "May", "volume": 87, "number": 5, "pages": "051901" }, "note": { "typesetting": "TeX", "pages": 5, "language": "en", "license": "arXiv", "status": "editable", "inspire": 1221259, "adsabs": "2013PhRvC..87e1901J" } } }