2+1 dimensional hydrodynamics including bulk viscosity: a systematics study

Abstract

We have studied the effect of nonzero bulk viscosity with peak near the lattice QCD predicted crossover temperature $T_{co}\sim 175MeV$ on charged particle transverse momentum spectra and elliptic flow. The Israel-Stewart theory of 2nd order causal dissipative relativistic fluid dynamics is used to simulate the space time evolution of the matter formed in Au-Au collisions at $\sqrt{s_{NN}}$=200 GeV assuming longitudinal boost invariance. A systematic comparison of temperature, transverse velocity, spatial and momentum anisotropy evolution of the ideal, bulk and shear viscous fluid has been carried out. Two different temperature dependent forms of $\zeta /s$ and a constant $\eta /s$ was used. Both the bulk and shear viscous correction to the ideal freezeout distribution function are included. The dissipative correction to the freezeout distribution for bulk viscosity was calculated using Grad's fourteen moment method. From our simulation we show that the method is applicable only for $\zeta /s<0.005\times \eta /s{|}_{KSS}$ for freezeout temperatures 130 and 160 MeV.

14pages, 26 figures, accepted for publication in Phys. Rev. C

References in corpus (12)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• The QCD equation of state with dynamical quarks
• A calculation of the bulk viscosity in SU(3) gluodynamics
• Influence of the shear viscosity of the quark-gluon plasma on elliptic flow in ultrarelativistic heavy-ion collisions
• Bulk viscosity of QCD matter near the critical temperature
• Origins of Bulk Viscosity at RHIC
• Eccentricity fluctuation effects on elliptic flow in relativistic heavy ion collisions
• Relativistic Dynamics of Non-ideal Fluids: Viscous and heat-conducting fluids I. General Aspects and 3+1 Formulation for Nuclear Collisions
• Bulk Viscosity driven clusterization of quark-gluon plasma and early freeze-out in relativistic heavy-ion collisions
• Constraining the viscous freeze-out distribution function with data obtained at the BNL Relativistic Heavy Ion Collider (RHIC)
• Causal Viscous Hydrodynamics for Relativistic Heavy Ion Collisions
• Charged particle's elliptic flow in 2+1D viscous hydrodynamics at LHC ($\sqrt{s}$= 2.76 TeV) energy in Pb+Pb collision

Cited by in corpus (12)

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• Relativistic hydrodynamics in heavy-ion collisions: general aspects and recent developments
• Relativistic second-order dissipative hydrodynamics at finite chemical potential
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• Comparison of results from a 2+1D relativistic viscous hydrodynamic model to elliptic and hexadecapole flow of charged hadrons measured in Au-Au collisions at $\sqrt{s_{\mathrm{NN}}}$ = 200 GeV
• A new scheme of causal viscous hydrodynamics for relativistic heavy-ion collisions: A Riemann solver for quark-gluon plasma
• A new relativistic viscous hydrodynamics code and its application to the Kelvin-Helmholtz instability in high-energy heavy-ion collisions
• Introduction to Hydrodynamics
• Bulk viscosity for pion and nucleon thermal fluctuation in the hadron resonance gas model
• Elliptic and Hexadecapole flow of charged hadron in viscous hydrodynamics with Glauber and Color Glass Condensate initial conditions for Pb-Pb collision at $\sqrt{s_{NN}}$=2.76 TeV
• Pion transverse-momentum spectrum, elliptic flow, and Hanbury-Brown-Twiss interferometry in a viscous granular source model
• Formulation of relativistic dissipative fluid dynamics and its applications in heavy-ion collisions