(3+1)-dimensional framework for leading-order non conformal anisotropic hydrodynamics

Abstract

In this work I develop a new framework for anisotropic hydrodynamics that generalizes the leading order of the hydrodynamic expansion to the full (3+1)-dimensional anisotropic massive case. Following previous works, my considerations are based on the Boltzmann kinetic equation with the collisional term treated in the relaxation time approximation. The momentum anisotropy is included explicitly in the leading term, allowing for a large difference between the longitudinal and transverse pressures as well as for non trivial transverse dynamics. Energy and momentum conservation is expressed by the first moment of the Boltzmann equation. The system of equations is closed by using the zeroth and second moments of the Boltzmann equation. The close-to-equilibrium matching with second-order viscous hydrodynamics is demonstrated. In particular, I show that the coupling between shear and bulk pressure corrections, recently proved to be important for an accurate description of momentum anisotropy and bulk viscous dynamics, does not vanish in the close-to-equilibrium limit.

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Cited by in corpus (12)

• New theories of relativistic hydrodynamics in the LHC era
• Derivation of anisotropic dissipative fluid dynamics from the Boltzmann equation
• Closing the equations of motion of anisotropic fluid dynamics by a judicious choice of moment of the Boltzmann equation
• Anisotropic matching principle for the hydrodynamics expansion
• Gradient expansion for anisotropic hydrodynamics
• Photon production from a non-equilibrium quark-gluon plasma
• Evolution to the Quark-Gluon Plasma
• Testing different formulations of leading-order anisotropic hydrodynamics
• Quark self-energy in an ellipsoidally anisotropic quark-gluon plasma
• Photon and dilepton production from a non-equilibrium quark-gluon plasma
• Bottomonia suppression in an anisotropic quark-gluon plasma
• Extended applicability domain of viscous anisotropic hydrodynamics in (2+1)-D Bjorken flow with transverse expansion