Hydrodynamization and nonequilibrium Green’s functions in kinetic theory
Abstract
Nonequilibrium Green’s functions provide an efficient way to describe the evolution of the energy-momentum tensor during the early-time preequilibrium stage of high-energy heavy-ion collisions. Besides their practical relevance they also provide a meaningful way to address the question when and to what extent a hydrodynamic description of the system becomes applicable. Within the kinetic theory framework we derive a new method to calculate time-dependent nonequilibrium Green’s functions describing the evolution of energy and momentum perturbations on top of an evolving far-from-equilibrium background. We discuss the approach toward viscous hydrodynamics along with the emergence of various scaling phenomena for conformal systems. By comparing our results obtained in the relaxation time approximation to previous calculations in Yang-Mills kinetic theory, we further address the question which macroscopic features of the energy-momentum tensor are sensitive to the underlying microscopic dynamics.
- Publication Date:
- Research Org.:
- North Carolina State University, Raleigh, NC (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC); German Research Foundation (DFG)
- OSTI Identifier:
- 1659546
- Alternate Identifier(s):
- OSTI ID: 1800099
- Grant/Contract Number:
- FG02-03ER41260
- Resource Type:
- Published Article
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Name: Physical Review D Journal Volume: 102 Journal Issue: 5; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Astronomy & Astrophysics; Physics
Citation Formats
Kamata, Syo, Martinez, Mauricio, Plaschke, Philip, Ochsenfeld, Stephan, and Schlichting, Sören. Hydrodynamization and nonequilibrium Green’s functions in kinetic theory. United States: N. p., 2020.
Web. doi:10.1103/PhysRevD.102.056003.
Kamata, Syo, Martinez, Mauricio, Plaschke, Philip, Ochsenfeld, Stephan, & Schlichting, Sören. Hydrodynamization and nonequilibrium Green’s functions in kinetic theory. United States. https://doi.org/10.1103/PhysRevD.102.056003
Kamata, Syo, Martinez, Mauricio, Plaschke, Philip, Ochsenfeld, Stephan, and Schlichting, Sören. Thu .
"Hydrodynamization and nonequilibrium Green’s functions in kinetic theory". United States. https://doi.org/10.1103/PhysRevD.102.056003.
@article{osti_1659546,
title = {Hydrodynamization and nonequilibrium Green’s functions in kinetic theory},
author = {Kamata, Syo and Martinez, Mauricio and Plaschke, Philip and Ochsenfeld, Stephan and Schlichting, Sören},
abstractNote = {Nonequilibrium Green’s functions provide an efficient way to describe the evolution of the energy-momentum tensor during the early-time preequilibrium stage of high-energy heavy-ion collisions. Besides their practical relevance they also provide a meaningful way to address the question when and to what extent a hydrodynamic description of the system becomes applicable. Within the kinetic theory framework we derive a new method to calculate time-dependent nonequilibrium Green’s functions describing the evolution of energy and momentum perturbations on top of an evolving far-from-equilibrium background. We discuss the approach toward viscous hydrodynamics along with the emergence of various scaling phenomena for conformal systems. By comparing our results obtained in the relaxation time approximation to previous calculations in Yang-Mills kinetic theory, we further address the question which macroscopic features of the energy-momentum tensor are sensitive to the underlying microscopic dynamics.},
doi = {10.1103/PhysRevD.102.056003},
journal = {Physical Review D},
number = 5,
volume = 102,
place = {United States},
year = {Thu Sep 03 00:00:00 EDT 2020},
month = {Thu Sep 03 00:00:00 EDT 2020}
}
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1103/PhysRevD.102.056003
https://doi.org/10.1103/PhysRevD.102.056003
Other availability
Search WorldCat to find libraries that may hold this journal
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
Studying the validity of relativistic hydrodynamics with a new exact solution of the Boltzmann equation
journal, December 2014
- Denicol, Gabriel; Heinz, Ulrich; Martinez, Mauricio
- Physical Review D, Vol. 90, Issue 12
Relativistic viscous hydrodynamics, conformal invariance, and holography
journal, April 2008
- Baier, Rudolf; Romatschke, Paul; Son, Dam Thanh
- Journal of High Energy Physics, Vol. 2008, Issue 04
New theories of relativistic hydrodynamics in the LHC era
journal, February 2018
- Florkowski, Wojciech; Heller, Michal P.; Spaliński, Michał
- Reports on Progress in Physics, Vol. 81, Issue 4
Characteristics of Thermalization of Boost-Invariant Plasma from Holography
journal, May 2012
- Heller, Michal P.; Janik, Romuald A.; Witaszczyk, Przemysław
- Physical Review Letters, Vol. 108, Issue 20
Thermalization, isotropization, and elliptic flow from nonequilibrium initial conditions with a saturation scale
journal, May 2014
- Ruggieri, M.; Scardina, F.; Plumari, S.
- Physical Review C, Vol. 89, Issue 5
Homogeneous isotropization and equilibration of a strongly coupled plasma with a critical point
journal, December 2017
- Critelli, Renato; Rougemont, Romulo; Noronha, Jorge
- Journal of High Energy Physics, Vol. 2017, Issue 12
Isotropization and Hydrodynamization in Weakly Coupled Heavy-Ion Collisions
journal, October 2015
- Kurkela, Aleksi; Zhu, Yan
- Physical Review Letters, Vol. 115, Issue 18
Highly anisotropic and strongly dissipative hydrodynamics for early stages of relativistic heavy-ion collisions
journal, March 2011
- Florkowski, Wojciech; Ryblewski, Radoslaw
- Physical Review C, Vol. 83, Issue 3
Non-perturbative rheological behavior of a far-from-equilibrium expanding plasma
journal, October 2019
- Behtash, Alireza; Cruz-Camacho, C. N.; Kamata, Syo
- Physics Letters B, Vol. 797
Experimental and theoretical challenges in the search for the quark–gluon plasma: The STAR Collaboration's critical assessment of the evidence from RHIC collisions
journal, August 2005
- Adams, J.; Aggarwal, M. M.; Ahammed, Z.
- Nuclear Physics A, Vol. 757, Issue 1-2
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
Chemical Equilibration in Hadronic Collisions
journal, April 2019
- Kurkela, Aleksi; Mazeliauskas, Aleksas
- Physical Review Letters, Vol. 122, Issue 14
The PHOBOS perspective on discoveries at RHIC
journal, August 2005
- Back, B. B.; Baker, M. D.; Ballintijn, M.
- Nuclear Physics A, Vol. 757, Issue 1-2
The First fm/ c of Heavy-Ion Collisions
journal, October 2019
- Schlichting, S.; Teaney, D.
- Annual Review of Nuclear and Particle Science, Vol. 69, Issue 1
Formation of dense partonic matter in relativistic nucleus–nucleus collisions at RHIC: Experimental evaluation by the PHENIX Collaboration
journal, August 2005
- Adcox, K.; Adler, S. S.; Afanasiev, S.
- Nuclear Physics A, Vol. 757, Issue 1-2
Approach to Equilibrium in Weakly Coupled Non-Abelian Plasmas
journal, October 2014
- Kurkela, Aleksi; Lu, Egang
- Physical Review Letters, Vol. 113, Issue 18
Boost invariant flow, black hole formation, and far-from-equilibrium dynamics in supersymmetric Yang-Mills theory
journal, July 2010
- Chesler, Paul M.; Yaffe, Laurence G.
- Physical Review D, Vol. 82, Issue 2
Global flow structure and exact formal transseries of the Gubser flow in kinetic theory
journal, July 2020
- Behtash, Alireza; Kamata, Syo; Martinez, Mauricio
- Journal of High Energy Physics, Vol. 2020, Issue 7
Hydrodynamic approaches in relativistic heavy ion reactions
journal, January 2016
- Derradi de Souza, R.; Koide, T.; Kodama, T.
- Progress in Particle and Nuclear Physics, Vol. 86
Fluctuating Glasma Initial Conditions and Flow in Heavy Ion Collisions
journal, June 2012
- Schenke, Björn; Tribedy, Prithwish; Venugopalan, Raju
- Physical Review Letters, Vol. 108, Issue 25
Onset of hydrodynamics for a quark-gluon plasma from the evolution of moments of distribution functions
journal, November 2017
- Blaizot, Jean-Paul; Yan, Li
- Journal of High Energy Physics, Vol. 2017, Issue 11
Second-order viscous corrections to the harmonic spectrum in heavy-ion collisions
journal, January 2014
- Teaney, D.; Yan, L.
- Physical Review C, Vol. 89, Issue 1
Matching the Nonequilibrium Initial Stage of Heavy Ion Collisions to Hydrodynamics with QCD Kinetic Theory
journal, March 2019
- Kurkela, Aleksi; Mazeliauskas, Aleksas; Paquet, Jean-François
- Physical Review Letters, Vol. 122, Issue 12
Effective kinetic description of event-by-event pre-equilibrium dynamics in high-energy heavy-ion collisions
journal, March 2019
- Kurkela, Aleksi; Mazeliauskas, Aleksas; Paquet, Jean-François
- Physical Review C, Vol. 99, Issue 3
Radiative energy loss and spectra for viscous hydrodynamics
journal, March 2010
- Dusling, Kevin; Moore, Guy D.; Teaney, Derek
- Physical Review C, Vol. 81, Issue 3
Initial state fluctuations and final state correlations in relativistic heavy-ion collisions
journal, May 2014
- Luzum, Matthew; Petersen, Hannah
- Journal of Physics G: Nuclear and Particle Physics, Vol. 41, Issue 6
Dissipative dynamics of highly anisotropic systems
journal, December 2010
- Martinez, Mauricio; Strickland, Michael
- Nuclear Physics A, Vol. 848, Issue 1-2
Hydrodynamics Beyond the Gradient Expansion: Resurgence and Resummation
journal, August 2015
- Heller, Michal P.; Spaliński, Michał
- Physical Review Letters, Vol. 115, Issue 7
How big are the smallest drops of quark-gluon plasma?
journal, March 2016
- Chesler, Paul M.
- Journal of High Energy Physics, Vol. 2016, Issue 3
Onset of classical QCD dynamics in relativistic heavy ion collisions
journal, May 2005
- Kharzeev, Dmitri; Levin, Eugene; Nardi, Marzia
- Physical Review C, Vol. 71, Issue 5
Early- and Late-Time Behavior of Attractors in Heavy-Ion Collisions
journal, March 2020
- Kurkela, Aleksi; van der Schee, Wilke; Wiedemann, Urs Achim
- Physical Review Letters, Vol. 124, Issue 10
Quark–gluon plasma and color glass condensate at RHIC? The perspective from the BRAHMS experiment
journal, August 2005
- Arsene, I.; Bearden, I. G.; Beavis, D.
- Nuclear Physics A, Vol. 757, Issue 1-2
Hydrodynamic attractors for Gubser flow
journal, July 2020
- Dash, Ashutosh; Roy, Victor
- Physics Letters B, Vol. 806
Collective Flow and Viscosity in Relativistic Heavy-Ion Collisions
journal, October 2013
- Heinz, Ulrich; Snellings, Raimond
- Annual Review of Nuclear and Particle Science, Vol. 63, Issue 1
Relativistic dissipative hydrodynamics from kinetic theory with relaxation-time approximation
journal, May 2013
- Jaiswal, Amaresh
- Physical Review C, Vol. 87, Issue 5
Parton–Hadron-String Dynamics at relativistic collider energies
journal, April 2011
- Bratkovskaya, E. L.; Cassing, W.; Konchakovski, V. P.
- Nuclear Physics A, Vol. 856, Issue 1
Alternative ansatz to wounded nucleon and binary collision scaling in high-energy nuclear collisions
journal, July 2015
- Moreland, J. Scott; Bernhard, Jonah E.; Bass, Steffen A.
- Physical Review C, Vol. 92, Issue 1
Fully Dynamical Simulation of Central Nuclear Collisions
journal, November 2013
- van der Schee, Wilke; Romatschke, Paul; Pratt, Scott
- Physical Review Letters, Vol. 111, Issue 22
Hydrodynamic Attractors, Initial State Energy, and Particle Production in Relativistic Nuclear Collisions
journal, December 2019
- Giacalone, Giuliano; Mazeliauskas, Aleksas; Schlichting, Sören
- Physical Review Letters, Vol. 123, Issue 26
On the kinetic theory of rarefied gases
journal, December 1949
- Grad, Harold
- Communications on Pure and Applied Mathematics, Vol. 2, Issue 4
Relativistic Fluid Dynamics Far From Local Equilibrium
journal, January 2018
- Romatschke, Paul
- Physical Review Letters, Vol. 120, Issue 1
The non-equilibrium attractor for kinetic theory in relaxation time approximation
journal, December 2018
- Strickland, M.
- Journal of High Energy Physics, Vol. 2018, Issue 12
Holographic thermalization with radial flow
journal, March 2013
- van der Schee, Wilke
- Physical Review D, Vol. 87, Issue 6
Exact solutions and attractors of higher-order viscous fluid dynamics for Bjorken flow
journal, September 2019
- Jaiswal, Sunil; Chattopadhyay, Chandrodoy; Jaiswal, Amaresh
- Physical Review C, Vol. 100, Issue 3
New Exact Solution of the Relativistic Boltzmann Equation and its Hydrodynamic Limit
journal, November 2014
- Denicol, Gabriel S.; Heinz, Ulrich; Martinez, Mauricio
- Physical Review Letters, Vol. 113, Issue 20
Relativistic Fluid Dynamics in and out of Equilibrium
book, January 2019
- Romatschke, Paul; Romatschke, Ulrike
Elliptic flow of gluon matter in ultrarelativistic heavy-ion collisions
journal, January 2009
- Xu, Zhe; Greiner, Carsten
- Physical Review C, Vol. 79, Issue 1
Emergence of hydrodynamical behavior in expanding ultra-relativistic plasmas
journal, January 2020
- Blaizot, Jean-Paul; Yan, Li
- Annals of Physics, Vol. 412
Fluid dynamics of out of equilibrium boost invariant plasmas
journal, May 2018
- Blaizot, Jean-Paul; Yan, Li
- Physics Letters B, Vol. 780
Anisotropic hydrodynamics for rapidly expanding systems
journal, October 2013
- Florkowski, Wojciech; Ryblewski, Radoslaw; Strickland, Michael
- Nuclear Physics A, Vol. 916
Dynamical systems and nonlinear transient rheology of the far-from-equilibrium Bjorken flow
journal, June 2019
- Behtash, Alireza; Kamata, Syo; Martinez, Mauricio
- Physical Review D, Vol. 99, Issue 11
Initial-state fluctuations from midperipheral to ultracentral collisions in an event-by-event transport approach
journal, November 2015
- Plumari, S.; Guardo, G. L.; Scardina, F.
- Physical Review C, Vol. 92, Issue 5
The Boltzmann equation for gluons at early times after a heavy ion collision
journal, March 2000
- Mueller, A. H.
- Physics Letters B, Vol. 475, Issue 3-4
Hydrodynamization in kinetic theory: Transient modes and the gradient expansion
journal, May 2018
- Heller, Michal P.; Kurkela, Aleksi; Spaliński, Michał
- Physical Review D, Vol. 97, Issue 9
Resurgence and hydrodynamic attractors in Gauss-Bonnet holography
journal, April 2018
- Casalderrey-Solana, Jorge; Gushterov, Nikola I.; Meiring, Ben
- Journal of High Energy Physics, Vol. 2018, Issue 4