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

Abstract

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.

Authors:
; ; ; ;
Publication Date:
Research Org.:
Duke Univ., Durham, NC (United States); State Univ. of New York (SUNY), Albany, NY (United States); Univ. of Washington, Seattle, WA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Nuclear Physics (NP)
OSTI Identifier:
1503381
Alternate Identifier(s):
OSTI ID: 1609636
Grant/Contract Number:  
FG02-88ER40388; FG02-05ER41367; FG02-97ER41014
Resource Type:
Published Article
Journal Name:
Physical Review. C
Additional Journal Information:
Journal Name: Physical Review. C Journal Volume: 99 Journal Issue: 3; Journal ID: ISSN 2469-9985
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; physics; collective flow; quark-gluon plasma; relativistic heavy-ion collisions; relativistic kinetic theory

Citation Formats

Kurkela, Aleksi, Mazeliauskas, Aleksas, Paquet, Jean-François, Schlichting, Sören, and Teaney, Derek. Effective kinetic description of event-by-event pre-equilibrium dynamics in high-energy heavy-ion collisions. United States: N. p., 2019. Web. doi:10.1103/PhysRevC.99.034910.
Kurkela, Aleksi, Mazeliauskas, Aleksas, Paquet, Jean-François, Schlichting, Sören, & Teaney, Derek. Effective kinetic description of event-by-event pre-equilibrium dynamics in high-energy heavy-ion collisions. United States. https://doi.org/10.1103/PhysRevC.99.034910
Kurkela, Aleksi, Mazeliauskas, Aleksas, Paquet, Jean-François, Schlichting, Sören, and Teaney, Derek. Wed . "Effective kinetic description of event-by-event pre-equilibrium dynamics in high-energy heavy-ion collisions". United States. https://doi.org/10.1103/PhysRevC.99.034910.
@article{osti_1503381,
title = {Effective kinetic description of event-by-event pre-equilibrium dynamics in high-energy heavy-ion collisions},
author = {Kurkela, Aleksi and Mazeliauskas, Aleksas and Paquet, Jean-François and Schlichting, Sören and Teaney, Derek},
abstractNote = {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.},
doi = {10.1103/PhysRevC.99.034910},
journal = {Physical Review. C},
number = 3,
volume = 99,
place = {United States},
year = {Wed Mar 27 00:00:00 EDT 2019},
month = {Wed Mar 27 00:00:00 EDT 2019}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1103/PhysRevC.99.034910

Citation Metrics:
Cited by: 83 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

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

  • Keegan, Liam; Kurkela, Aleksi; Mazeliauskas, Aleksas
  • Journal of High Energy Physics, Vol. 2016, Issue 8
  • DOI: 10.1007/JHEP08(2016)171

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


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

  • Bernhard, Jonah E.; Marcy, Peter W.; Coleman-Smith, Christopher E.
  • Physical Review C, Vol. 91, Issue 5
  • DOI: 10.1103/PhysRevC.91.054910

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

  • Keegan, Liam; Kurkela, Aleksi; Romatschke, Paul
  • Journal of High Energy Physics, Vol. 2016, Issue 4
  • DOI: 10.1007/JHEP04(2016)031

Universal flow in the first stage of relativistic heavy ion collisions
journal, April 2009


High Energy Scattering in Quantum Chromodynamics
journal, October 2007

  • Gelis, FranÇOis; Lappi, Tuomas; Venugopalan, Raju
  • International Journal of Modern Physics E, Vol. 16, Issue 09
  • DOI: 10.1142/S0218301307008331

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

  • Grönqvist, Hanna; Blaizot, Jean-Paul; Ollitrault, Jean-Yves
  • Physical Review C, Vol. 94, Issue 3
  • DOI: 10.1103/PhysRevC.94.034905

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


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

  • Broniowski, Wojciech; Florkowski, Wojciech; Chojnacki, Mikolaj
  • Physical Review C, Vol. 80, Issue 3
  • DOI: 10.1103/PhysRevC.80.034902

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

  • Noronha-Hostler, Jacquelyn; Noronha, Jorge; Gyulassy, Miklos
  • Physical Review C, Vol. 93, Issue 2
  • DOI: 10.1103/PhysRevC.93.024909

(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

  • Gale, Charles; Jeon, Sangyong; Schenke, BjÖRn
  • International Journal of Modern Physics A, Vol. 28, Issue 11
  • DOI: 10.1142/S0217751X13400113

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