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      Relativistic third-order dissipative fluid dynamics from kinetic theory

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          Abstract

          We present the derivation of a novel third-order hydrodynamic evolution equation for shear stress tensor from kinetic theory. Boltzmann equation with relaxation time approximation for the collision term is solved iteratively using Chapman-Enskog like expansion to obtain the nonequilibrium phase-space distribution function. Subsequently, the evolution equation for shear stress tensor is derived from its kinetic definition up-to third-order in gradients. We quantify the significance of the new derivation within one-dimensional scaling expansion and demonstrate that the results obtained using third-order viscous equations derived here provides a very good approximation to the exact solution of Boltzmann equation in relaxation time approximation. We also show that the time evolution of pressure anisotropy obtained using our equations is in better agreement with transport results when compared with an existing third-order calculation based on the second-law of thermodynamics.

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          Dissipative phenomena in quark-gluon plasmas

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            Note onN-dimensional hermite polynomials

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              Radiative energy loss andv2spectra for viscous hydrodynamics

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                Author and article information

                Journal
                15 May 2013
                2013-08-20
                Article
                10.1103/PhysRevC.88.021903
                1305.3480
                6ab8b4e7-9ccb-44f3-8b8c-9be55c1efbad

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

                History
                Custom metadata
                Phys.Rev.C88:021903,2013
                6 pages, 3 figures, version to appear in PRC (Rapid Comm)
                nucl-th hep-ph hep-th physics.flu-dyn

                High energy & Particle physics,Thermal physics & Statistical mechanics,Nuclear physics

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