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Title: Leading-order anisotropic hydrodynamics for central collisions

Journal Article · · Physical Review C, Nuclear Physics

In this work, we use leading-order anisotropic hydrodynamics to study an azimuthally symmetric boost-invariant quark-gluon plasma. We impose a realistic lattice-based equation of state and perform self-consistent anisotropic freeze-out to hadronic degrees of freedom. We then compare our results for the full spatiotemporal evolution of the quark-gluon plasma and its subsequent freeze-out to results obtained using 1+1D Israel-Stewart second-order viscous hydrodynamics. We find that for small shear viscosities, 4πη/s ~1, the two methods agree well for nucleus-nucleus collisions; however, for large-shear-viscosity-to-entropy-density ratios or proton-nucleus collisions we find important corrections to the Israel-Stewart results for the final particle spectra and the total number of charged particles. Finally, we demonstrate that the total number of charged particles produced is a monotonically increasing function of 4πη/s in Israel-Stewart viscous hydrodynamics, whereas in anisotropic hydrodynamics it has a maximum at 4πη/s ~10. For all 4πη/s > 0, we find that for Pb-Pb collisions Israel-Stewart viscous hydrodynamics predicts more dissipative particle production than anisotropic hydrodynamics.

Research Organization:
The Ohio State Univ., Columbus, OH (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Nuclear Physics (NP); Polish National Science Centre (NCN)
Grant/Contract Number:
SC0004286; SC0013470; AC02-05CH11231; SC0004104; DEC-2012/07/D/ST2/02125; AC0205CH11231
OSTI ID:
1604529
Alternate ID(s):
OSTI ID: 1224375
Journal Information:
Physical Review C, Nuclear Physics, Vol. 92, Issue 4; ISSN 0556-2813
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 35 works
Citation information provided by
Web of Science

References (64)

Transport coefficients of bulk viscous pressure in the 14-moment approximation journal August 2014
Projection method for boost-invariant and cylindrically symmetric dissipative hydrodynamics journal April 2012
Studying the validity of relativistic hydrodynamics with a new exact solution of the Boltzmann equation journal December 2014
Relativistic viscous hydrodynamics, conformal invariance, and holography journal April 2008
Collective flow and two-pion correlations from a relativistic hydrodynamic model with early chemical freeze-out journal November 2002
Conformal hydrodynamics in Minkowski and de Sitter spacetimes journal May 2011
Divergence-type 2 + 1 dissipative hydrodynamics applied to heavy-ion collisions journal November 2010
Flow and interferometry in (3 + 1)-dimensional viscous hydrodynamics journal March 2012
Highly anisotropic and strongly dissipative hydrodynamics for early stages of relativistic heavy-ion collisions journal March 2011
Projection method and new formulation of leading-order anisotropic hydrodynamics journal March 2014
Particle spectra in Pb-Pb collisions at s NN = 2 . 76 TeV journal June 2012
Relativistic (lattice) Boltzmann equation with nonideal equation of state journal March 2012
Symmetry constraints on generalizations of Bjorken flow journal October 2010
Boost-invariant (2+1)-dimensional anisotropic hydrodynamics journal June 2012
Bulk and shear viscosities of matter created in relativistic heavy-ion collisions journal March 2010
Anisotropic hydrodynamics for ultra-relativistic heavy-ion collisions journal July 2013
The QCD equation of state with dynamical quarks journal November 2010
Highly anisotropic and strongly dissipative hydrodynamics with transverse expansion journal November 2011
Mixture of Anisotropic Fluids journal January 2013
Macroscopic approximation to relativistic kinetic theory from a nonlinear closure journal February 2013
Importance of the Bulk Viscosity of QCD in Ultrarelativistic Heavy-Ion Collisions journal September 2015
Dissipative Relativistic Fluid Dynamics: A New Way to Derive the Equations of Motion from Kinetic Theory journal October 2010
Dissipative dynamics of highly anisotropic systems journal December 2010
Dissipative hydrodynamics and heavy-ion collisions journal June 2006
Causal theories of dissipative relativistic fluid dynamics for nuclear collisions journal March 2004
Extracting the QGP viscosity from RHIC data—a status report from viscous hydrodynamics journal May 2009
Nonconformal viscous anisotropic hydrodynamics journal June 2015
Bulk viscous evolution within anisotropic hydrodynamics journal July 2014
Extension of relativistic dissipative hydrodynamics to third order journal April 2010
Non-boost-invariant motion of dissipative and highly anisotropic fluid journal December 2010
Rapid hydrodynamic expansion in relativistic heavy-ion collisions journal April 2009
THERMINATOR 2: THERMal heavy IoN generATOR 2 journal March 2012
Relativistic quantum transport coefficients for second-order viscous hydrodynamics journal May 2015
Components of the elliptic flow in Pb–Pb collisions at <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msqrt><mml:mi>s</mml:mi></mml:msqrt><mml:mo>=</mml:mo><mml:mn>2.76</mml:mn><mml:mtext> TeV</mml:mtext></mml:math> journal May 2011
Anisotropic hydrodynamics for conformal Gubser flow journal February 2015
Shear-bulk coupling in nonconformal hydrodynamics journal October 2014
Simulating elliptic flow with viscous hydrodynamics journal March 2008
Viscosity Information from Relativistic Nuclear Collisions: How Perfect is the Fluid Observed at RHIC? journal October 2007
Effect of shear viscosity on spectra, elliptic flow, and Hanbury Brown–Twiss radii journal September 2003
Second-Order Dissipative Fluid Dynamics for Ultrarelativistic Nuclear Collisions journal January 2002
The effect of shear and bulk viscosities on elliptic flow journal August 2010
Causal viscous hydrodynamics for central heavy-ion collisions journal May 2007
Kinetic Description of Mixtures of Anisotropic Fluids journal January 2014
Non-boost-invariant anisotropic dynamics journal April 2011
Divergence-type nonlinear conformal hydrodynamics journal December 2009
Derivation of fluid dynamics from kinetic theory with the 14-moment approximation journal November 2012
Elliptic and Triangular Flow in Event-by-Event D = 3 + 1 Viscous Hydrodynamics journal January 2011
Anisotropic flow in <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msqrt><mml:mi>s</mml:mi></mml:msqrt><mml:mo>=</mml:mo><mml:mn>2.76</mml:mn><mml:mtext> TeV</mml:mtext></mml:math> <mml:math altimg="si2.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mi mathvariant="normal">Pb</mml:mi><mml:mo>+</mml:mo><mml:mi mathvariant="normal">Pb</mml:mi></mml:math> collisions at the LHC journal August 2011
Derivation of transient relativistic fluid dynamics from the Boltzmann equation journal June 2012
New Exact Solution of the Relativistic Boltzmann Equation and its Hydrodynamic Limit journal November 2014
Second-order ( 2 + 1 ) -dimensional anisotropic hydrodynamics journal November 2014
Hydrodynamics of anisotropic quark and gluon fluids journal March 2013
Dissipative hydrodynamics for viscous relativistic fluids journal March 2006
Conformal relativistic viscous hydrodynamics: Applications to RHIC results at s NN = 200 GeV journal September 2008
Leading-order anisotropic hydrodynamics for systems with massive particles journal May 2014
Anisotropic hydrodynamics for rapidly expanding systems journal October 2013
Testing viscous and anisotropic hydrodynamics in an exactly solvable case journal August 2013
Solutions of conformal Israel-Stewart relativistic viscous fluid dynamics journal January 2015
Exact solution of the ( 0 + 1 )-dimensional Boltzmann equation for a massive gas journal May 2014
Radial and elliptic flow at RHIC: further predictions journal March 2001
Influence of Shear Viscosity of Quark-Gluon Plasma on Elliptic Flow in Ultrarelativistic Heavy-Ion Collisions journal May 2011
Influence of a temperature-dependent shear viscosity on the azimuthal asymmetries of transverse momentum spectra in ultrarelativistic heavy-ion collisions journal July 2012
Hydrodynamic approach to boost invariant free streaming journal August 2015
Highly anisotropic hydrodynamics in 3 + 1 space-time dimensions journal June 2012

Cited By (3)

Predictions for Bottomonia Suppression in 5.023 TeV Pb-Pb Collisions journal August 2016
Sensitivity of flow harmonics to sub-nucleon scale fluctuations in heavy ion collisions text January 2015
Including off-diagonal anisotropies in anisotropic hydrodynamics text January 2019

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