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The right choice of moment for anisotropic fluid dynamics

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arxiv 1705.01851 v1 pith:TRSX2PVL submitted 2017-05-04 nucl-th

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keywords anisotropicboltzmannchoiceequationfluiddynamicsmomentadditional
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We study anisotropic fluid dynamics derived from the Boltzmann equation based on a particular choice for the anisotropic distribution function within a boost-invariant expansion of the fluid in one spatial dimension. In order to close the conservation equations we need to choose an additional moment of the Boltzmann equation. We discuss the influence of this choice of closure on the time evolution of fluid-dynamical variables and search for the best agreement to the solution of the Boltzmann equation in the relaxation-time approximation.

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  1. Exact solutions for the moments of the binary collision integral and its relation to the relaxation-time approximation in leading-order anisotropic fluid dynamics

    nucl-th 2025-04 conditional novelty 7.0 of 10

    Exact hard-sphere moments of the nonlinear collision integral for anisotropic distributions show the relaxation-time approximation relaxes roughly twice as fast as true binary collisions, and a two-moment closure reso...

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