Hydrodynamics of anisotropic quark and gluon fluids

TL;DR

This paper extends anisotropic hydrodynamics to coupled quark-gluon fluids with different anisotropies, deriving and numerically solving equations that incorporate baryon number conservation and different relaxation times.

Contribution

It introduces a generalized framework for anisotropic hydrodynamics of quark-gluon mixtures with distinct anisotropy parameters and relaxation times, including baryon number conservation.

Findings

Numerical solutions for coupled quark-gluon fluids at zero and finite baryon density.

Demonstration of the impact of different relaxation times on fluid dynamics.

Extension of anisotropic hydrodynamics to more realistic quark-gluon systems.

Abstract

The recently developed framework of anisotropic hydrodynamics is generalized to describe the dynamics of coupled quark and gluon fluids. The quark and gluon components of the fluids are characterized by different dynamical anisotropy parameters. The dynamical equations describing such mixtures are derived from kinetic theory with the collisional kernel treated in the relaxation- time approximation allowing for different relaxation times for quarks and gluons. Baryon number conservation is enforced in the quark and anti-quark components of the fluid, but overall parton number non-conservation is allowed in the system. The resulting equations are solved numerically in the (0+1)-dimensional boost-invariant case at zero and finite baryon density.