Flow harmonics $v_n$ at finite density

Abstract

We generalize the Gubser solution of viscous hydrodynamics by including the finite density effect and analytically compute the flow harmonics $v_n$. We explicitly show how $v_n$ and their viscous corrections depend on the chemical potential. The difference in $v_n$ between particles and antiparticles is also analytically computed and shown to be proportional to various chemical potentials and the viscosity. Excellent agreement is obtained between the results and the available experimental data from the SPS, RHIC and the LHC.

30 pages, 5 figures; v2: figures revised, discussion added, to be published in PRD

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• QCD Equation of State at Finite Chemical Potentials for Relativistic Nuclear Collisions
• Fluctuation dynamics near the QCD critical point
• Isospin splitting of pion elliptic flow in relativistic heavy-ion collisions
• Collision energy dependence of elliptic flow splitting between particles and their antiparticles from an extended multiphase transport model
• Search for the chiral magnetic wave using anisotropic flow of identified particles at RHIC
• An experimental review on elliptic flow of strange and multi-strange hadrons in relativistic heavy ion collisions
• Elliptic flow splitting between protons and antiprotons from hadronic potentials
• Collective Excitation in High-Energy Nuclear Collisions -- In Memory of Professor Lianshou Liu
• Elliptic flow splittings in the Polyakov-looped Nambu-Jona Lasinio transport model
• Analytic approaches to relativistic hydrodynamics
• The elliptic flow difference between baryons and anti-baryons in heavy collision with SMASH Model
• Thermal dilepton production within conformal viscous Gubser flow
• Finite-Density Dynamics of Chemically Equilibrating QGP in Conformal Gubser Flow and Hard Thermal Photon Production
• Viscous Gubser flow with conserved charges to benchmark fluid simulations
• Hydrodynamic model of heavy-ion collisions with low momentum components