Abstract

The mixture of quark and gluon fluids is studied in a one-dimensional boostinvariant setup using the set of relativistic kinetic equations treated in the relaxation time approximation. Effects of a finite quark mass, non-zero baryon number density, and quantum statistics are discussed. Comparisons between the exact kinetic-theory results and anisotropic hydrodynamics predictions are performed and a very good agreement between the two are found.

Highlights

  • Despite a significant development of theoretical tools and experimental methods in the last years, an unambiguous interpretation of data measured in the heavy-ion collision experiments at RHIC and the LHC is still challenging [1]

  • In order to overcome this difficulty we follow the study in Ref. [38] and select only particular combinations of equations contained in Eq (23), which allow us to reproduce the results of standard viscous hydrodynamics in the close-to-equilibrium limit

  • Using exact solutions of the Boltzmann equation we check the influence of the finite quark mass and the quantum statistics of the constituents on the evolution of the mixture

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Summary

Introduction

Despite a significant development of theoretical tools and experimental methods in the last years, an unambiguous interpretation of data measured in the heavy-ion collision experiments at RHIC and the LHC is still challenging [1]. New methods have been proposed which allow, to some extent, to test the validity of different hydrodynamic formalisms [7,8,9,10,11,12] These methods are based on direct comparisons between predictions of various hydrodynamic models and exact solutions of the underlying kinetic-theory equations [7,8,9,10,11,12,13,14,15,16,17,18,19,20,21]. Since the aHydro formalism is based on the idea that the high pressure anisotropy of the produced matter may be included already in the leading order of the hydrodynamic expansion, our treatment may be especially useful to describe early stages of the quark-gluon plasma evolution in the ultra-relativistic regime of heavy-ion collisions

Kinetic equations
Equilibrium distributions
Formal solutions
Anisotropic distributions
Initial distributions
Baryon number and four-momentum conservation laws
Anisotropic hydrodynamics
Zeroth moments of the kinetic equations
First moments of the kinetic equations
Second moments of the kinetic equations
Results
Kinetic theory results
Anisotropic hydrodynamics results
Summary
Full Text
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