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arxiv: 1503.07443 · v1 · pith:6RIXCLOLnew · submitted 2015-03-25 · ⚛️ nucl-th · hep-ph

Nonconformal viscous anisotropic hydrodynamics

classification ⚛️ nucl-th hep-ph
keywords viscousanisotropicboltzmanndistributionequationhydrodynamicsapproximationexact
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We generalize the derivation of viscous anisotropic hydrodynamics from kinetic theory to allow for non-zero particle masses. The macroscopic theory is obtained by taking moments of the Boltzmann equation after expanding the distribution function around a spheroidally deformed local momentum distribution whose form has been generalized by the addition of a scalar field that accounts non-perturbatively (i.e. already at leading order) for bulk viscous effects. Hydrodynamic equations for the parameters of the leading-order distribution function and for the residual (next-to-leading order) dissipative flows are obtained from the three lowest moments of the Boltzmann equation. The approach is tested for a system undergoing (0+1)-dimensional boost-invariant expansion for which the exact solution of the Boltzmann equation in relaxation time approximation is known. Nonconformal viscous anisotropic hydrodynamics is shown to approximate this exact solution more accurately than any other known hydrodynamic approximation.

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Cited by 1 Pith paper

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  1. Extended applicability domain of viscous anisotropic hydrodynamics in (2+1)-D Bjorken flow with transverse expansion

    nucl-th 2025-09 unverdicted novelty 5.0

    VAH simulations in (2+1)D Bjorken flow with transverse expansion show an extended applicability domain over standard viscous hydrodynamics when compared to relaxation-time approximation kinetic theory.