DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Effective kinetic description of event-by-event pre-equilibrium dynamics in high-energy heavy-ion collisions

Journal Article · · Physical Review. C
 [1];  [2];  [3];  [4];  [5]
  1. European Organization for Nuclear Research (CERN), Geneva (Switzerland); Univ. of Stavanger (Norway)
  2. Univ. Heidelberg (Germany); Stony Brook Univ., NY (United States)
  3. Duke Univ., Durham, NC (United States); Stony Brook Univ., NY (United States)
  4. Univ. Bielefeld (Germany); Univ. of Washington, Seattle, WA (United States)
  5. Stony Brook Univ., NY (United States)

We develop a macroscopic description of the space-time evolution of the energy-momentum tensor during the pre-equilibrium stage of a high-energy heavy-ion collision. Based on a weak coupling effective kinetic description of the microscopic equilibration process (à la “bottom-up”), we calculate the nonequilibrium evolution of the local background energy-momentum tensor as well as the nonequilibrium linear response to transverse energy and momentum perturbations for realistic boost-invariant initial conditions for heavy-ion collisions. We demonstrate how this framework can be used on an event-by-event basis to propagate the energy-momentum tensor from far-from-equilibrium initial-state models to the time τ hydro when the system is well described by relativistic viscous hydrodynamics. The subsequent hydrodynamic evolution becomes essentially independent of the hydrodynamic initialization time τhydro as long as τhydro is chosen in an appropriate range where both kinetic and hydrodynamic descriptions overlap. We find that for √sNN = 2.76 TeV central Pb-Pb collisions, the typical timescale when viscous hydrodynamics with shear viscosity over entropy ratio η/s = 0.16 becomes applicable is τhydro ~1 fm /c after the collision.

Research Organization:
Duke Univ., Durham, NC (United States); State Univ. of New York (SUNY), Albany, NY (United States); Univ. of Washington, Seattle, WA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Nuclear Physics (NP)
Grant/Contract Number:
FG02-05ER41367; FG02-88ER40388; FG02-97ER41014
OSTI ID:
1503381
Alternate ID(s):
OSTI ID: 1609636
Journal Information:
Physical Review. C, Vol. 99, Issue 3; ISSN 2469-9985
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 83 works
Citation information provided by
Web of Science

References (117)

Turbulent thermalization process in heavy-ion collisions at ultrarelativistic energies journal April 2014
Studying the validity of relativistic hydrodynamics with a new exact solution of the Boltzmann equation journal December 2014
Relative importance of second-order terms in relativistic dissipative fluid dynamics journal April 2014
Continuous description of fluctuating eccentricities journal November 2014
Relativistic viscous hydrodynamics, conformal invariance, and holography journal April 2008
Fluctuations of harmonic and radial flow in heavy ion collisions with principal components journal February 2016
QCD equation of state and hadron resonance gas journal June 2010
Nonlinearities in the harmonic spectrum of heavy ion collisions with ideal and viscous hydrodynamics journal October 2012
Azimuthal anisotropies in p + Pb collisions from classical Yang–Mills dynamics journal July 2015
Boltzmann equation in classical and quantum field theory journal July 2005
Some features of the glasma journal June 2006
Isotropization and Hydrodynamization in Weakly Coupled Heavy-Ion Collisions journal October 2015
The Color Glass Condensate journal November 2010
Initial conditions for hydrodynamics from weakly coupled pre-equilibrium evolution journal August 2016
Erratum: Derivation of transient relativistic fluid dynamics from the Boltzmann equation [Phys. Rev. D 85 , 114047 (2012)] journal February 2015
Thermalization of a color glass condensate and review of the “bottom–up” scenario journal June 2008
Event-by-Event Anisotropic Flow in Heavy-ion Collisions from Combined Yang-Mills and Viscous Fluid Dynamics journal January 2013
Hydrodynamic approaches in relativistic heavy ion reactions journal January 2016
Effects of bulk viscosity and hadronic rescattering in heavy ion collisions at energies available at the BNL Relativistic Heavy Ion Collider and at the CERN Large Hadron Collider journal March 2018
Mapping the hydrodynamic response to the initial geometry in heavy-ion collisions journal February 2012
Equation of state in ( 2 + 1 )-flavor QCD journal November 2014
Relativistic hydrodynamic attractors with broken symmetries: non-conformal and non-homogeneous journal December 2017
Matching the Nonequilibrium Initial Stage of Heavy Ion Collisions to Hydrodynamics with QCD Kinetic Theory journal March 2019
Erratum: Pre-equilibrium evolution effects on heavy-ion collision observables [Phys. Rev. C 91 , 064906 (2015)] journal October 2015
Second order hydrodynamic coefficients from kinetic theory journal March 2009
Initial state fluctuations and final state correlations in relativistic heavy-ion collisions journal May 2014
Lectures on hydrodynamic fluctuations in relativistic theories journal November 2012
Quantifying properties of hot and dense QCD matter through systematic model-to-data comparison journal May 2015
Thermalization of gluons in ultrarelativistic heavy ion collisions by including three-body interactions in a parton cascade journal June 2005
Pre-equilibrium evolution effects on heavy-ion collision observables journal June 2015
Hydrodynamics Beyond the Gradient Expansion: Resurgence and Resummation journal August 2015
Weak and strong coupling equilibration in nonabelian gauge theories journal April 2016
Universal flow in the first stage of relativistic heavy ion collisions journal April 2009
High Energy Scattering in Quantum Chromodynamics journal October 2007
Calculation of the axion mass based on high-temperature lattice quantum chromodynamics text January 2016
Bulk viscosity of high-temperature QCD journal October 2006
Sensitivity of observables to coarse-graining size in heavy-ion collisions journal June 2018
Production of photons in relativistic heavy-ion collisions journal April 2016
Subleading harmonic flows in hydrodynamic simulations of heavy ion collisions journal April 2015
Modification of the saturation model: Dokshitzer-Gribov-Lipatov-Altarelli-Parisi evolution journal June 2002
Hydrodynamic Gradient Expansion in Gauge Theory Plasmas journal May 2013
Centrality Dependence of the Charged-Particle Multiplicity Density at Midrapidity in Pb-Pb Collisions at s N N = 5.02     TeV journal June 2016
Turbulent thermalization process in high-energy heavy-ion collisions journal November 2014
UV cascade in classical Yang-Mills theory via kinetic theory journal April 2014
Collective Flow and Viscosity in Relativistic Heavy-Ion Collisions journal October 2013
Non-Gaussian eccentricity fluctuations journal September 2016
Fully Dynamical Simulation of Central Nuclear Collisions journal November 2013
Alternative ansatz to wounded nucleon and binary collision scaling in high-energy nuclear collisions journal July 2015
Impact parameter dipole saturation model journal December 2003
Relativistic Fluid Dynamics Far From Local Equilibrium journal January 2018
On the equivalence between the Boltzmann equation and classical field theory at large occupation numbers journal March 2004
Pressure Isotropization in High Energy Heavy Ion Collisions journal December 2013
“Bottom-up” thermalization in heavy ion collisions journal March 2001
Calculation of the axion mass based on high-temperature lattice quantum chromodynamics journal November 2016
Single-particle distribution in the hydrodynamic and statistical thermodynamic models of multiparticle production journal July 1974
Mode-by-mode fluid dynamics for relativistic heavy ion collisions journal January 2014
Toward a deeper understanding of how experiments constrain the underlying physics of heavy-ion collisions journal February 2016
Universal attractor in a highly occupied non-Abelian plasma journal June 2014
Event-by-event fluctuations in a perturbative QCD + saturation + hydrodynamics model: Determining QCD matter shear viscosity in ultrarelativistic heavy-ion collisions journal February 2016
Matching the non-equilibrium initial stage of heavy ion collisions to hydrodynamics with QCD kinetic theory
  • Kurkela, Aleksi; Mazeliauska, Aleksas; Paquet, Jean-Francois
  • Proceedings of XIII Quark Confinement and the Hadron Spectrum — PoS(Confinement2018) https://doi.org/10.22323/1.336.0152
conference September 2019
Elliptic and Triangular Flow in Event-by-Event D = 3 + 1 Viscous Hydrodynamics journal January 2011
Glauber Modeling in High-Energy Nuclear Collisions journal November 2007
Derivation of transient relativistic fluid dynamics from the Boltzmann equation journal June 2012
Initial state of Heavy-Ion Collisions: Isotropization and thermalization journal December 2016
Nonstationary irreversible thermodynamics: A causal relativistic theory journal September 1976
Self-consistent conversion of a viscous fluid to particles journal February 2017
Free-streaming approximation in early dynamics of relativistic heavy-ion collisions journal September 2009
Transport coefficients in high temperature gauge theories, 2. Beyond leading log journal May 2003
Anisotropic nonequilibrium hydrodynamic attractor journal February 2018
Sensitivity of flow harmonics to subnucleon scale fluctuations in heavy ion collisions journal February 2016
(3+1)D hydrodynamic simulation of relativistic heavy-ion collisions journal July 2010
Light-heavy-ion collisions: a window into pre-equilibrium QCD dynamics? journal July 2015
Effective kinetic theory for high temperature gauge theories journal January 2003
Hydrodynamic Modeling of Heavy-Ion Collisions journal April 2013
Gluon spectrum in the glasma from JIMWLK evolution journal September 2011
Bjorken flow, plasma instabilities, and thermalization journal November 2011
Centrality Dependence of the Charged-Particle Multiplicity Density at Midrapidity in Pb-Pb Collisions at s NN = 2.76     TeV journal January 2011
Hydrodynamization in kinetic theory: Transient modes and the gradient expansion journal May 2018
Charged-Particle Multiplicity Density at Midrapidity in Central Pb-Pb Collisions at s N N = 2.76     TeV journal December 2010
Wake of a heavy quark in non-Abelian plasmas: Comparing kinetic theory and the anti-de Sitter space/conformal field theory correspondence journal June 2012
Thermalization of a color glass condensate and review of the ‘bottom-up’ scenario journal September 2008
Free-streaming approximation in early dynamics of relativistic heavy-ion collisions text January 2008
The Color Glass Condensate text January 2010
Gluon spectrum in the glasma from JIMWLK evolution text January 2011
Mapping the hydrodynamic response to the initial geometry in heavy-ion collisions text January 2011
Derivation of transient relativistic fluid dynamics from the Boltzmann equation text January 2012
Fluctuating Glasma initial conditions and flow in heavy ion collisions text January 2012
Lectures on hydrodynamic fluctuations in relativistic theories text January 2012
Non linearities in the harmonic spectrum of heavy ion collisions with ideal and viscous hydrodynamics text January 2012
Event-by-event anisotropic flow in heavy-ion collisions from combined Yang-Mills and viscous fluid dynamics text January 2012
Collective flow and viscosity in relativistic heavy-ion collisions text January 2013
Hydrodynamic Modeling of Heavy-Ion Collisions text January 2013
Hydrodynamic gradient expansion in gauge theory plasmas text January 2013
Turbulent thermalization process in heavy-ion collisions at ultrarelativistic energies text January 2013
A fully dynamical simulation of central nuclear collisions text January 2013
Mode-by-mode fluid dynamics for relativistic heavy ion collisions text January 2013
On the relative importance of second-order terms in relativistic dissipative fluid dynamics text January 2013
Universal attractor in a highly occupied non-Abelian plasma text January 2013
Initial State Fluctuations and Final State Correlations in Relativistic Heavy-Ion Collisions text January 2013
Self-consistent conversion of a viscous fluid to particles text January 2014
Studying the validity of relativistic hydrodynamics with a new exact solution of the Boltzmann equation text January 2014
Alternative ansatz to wounded nucleon and binary collision scaling in high-energy nuclear collisions text January 2014
Subleading harmonic flows in hydrodynamic simulations of heavy ion collisions text January 2015
Quantifying properties of hot and dense QCD matter through systematic model-to-data comparison text January 2015
Pre-equilibrium evolution effects on heavy-ion collision observables preprint January 2015
Isotropization and hydrodynamization in weakly coupled heavy-ion collisions text January 2015
Sensitivity of flow harmonics to sub-nucleon scale fluctuations in heavy ion collisions text January 2015
Towards a Deeper Understanding of How Experiments Constrain the Underlying Physics of Heavy-Ion Collisions text January 2015
The production of photons in relativistic heavy-ion collisions text January 2015
Weak and strong coupling equilibration in nonabelian gauge theories text January 2015
Non-Gaussian eccentricity fluctuations text January 2016
Hydrodynamization in kinetic theory: Transient modes and the gradient expansion text January 2016
Relativistic Hydrodynamic Attractors with Broken Symmetries: Non-Conformal and Non-Homogeneous text January 2017
An Impact Parameter Dipole Saturation Model text January 2003
Thermalization of gluons in ultrarelativistic heavy ion collisions by including three-body interactions in a parton cascade text January 2004
Some Features of the Glasma text January 2006
Glauber Modeling in High Energy Nuclear Collisions text January 2007

Cited By (7)

Flow in AA and pA as an interplay of fluid-like and non-fluid like excitations journal November 2019
Entropy production in p p and Pb-Pb collisions at energies available at the CERN Large Hadron Collider journal December 2019
Bayesian estimation of the specific shear and bulk viscosity of quark–gluon plasma journal August 2019
Flow in AA and pA as an interplay of fluid-like and non-fluid like excitations text January 2019
Entropy production in pp and Pb-Pb collisions at energies available at the CERN Large Hadron Collider text January 2019
Hydrodynamic attractors, initial state energy and particle production in relativistic nuclear collisions text January 2019
Initial conditions of bulk matter in ultrarelativistic nuclear collisions preprint January 2019

Figures / Tables (28)