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An improved anisotropic hydrodynamics ansatz

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arxiv 2006.13834 v1 pith:SK5EPHOE submitted 2020-06-24 hep-ph nucl-th

An improved anisotropic hydrodynamics ansatz

classification hep-ph nucl-th
keywords momentsimprovedanisotropicansatzattractorbetterdemonstratedistribution
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We introduce an improved form for the anisotropic hydrodynamics distribution function which explicitly takes into account the free-streaming and equilibrating contributions separately. We demonstrate that with this improvement one can better reproduce exact results available in the literature for the evolution of moments of the distribution function, in particular, for moments which contain no powers of the longitudinal momentum in their definition (m=0 moments). Using the resulting dynamical equations, we extract the non-equilibrium attractor associated with our improved aHydro ansatz and demonstrate that the improvement also allows one to better reproduce the exact dynamical attractor obtained using kinetic theory in the relaxation time approximation, particularly at early rescaled times and for m=0 moments.

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