Multisystem Bayesian constraints on the transport coefficients of QCD matter
Abstract
We study the properties of the strongly coupled quark-gluon plasma with a multistage model of heavy-ion collisions that combines the TRENTo initial condition ansatz, free-streaming, viscous relativistic hydrodynamics, and a relativistic hadronic transport. A model-to-data comparison with Bayesian inference is performed, revisiting assumptions made in previous studies. The role of parameter priors is studied in light of their importance for the interpretation of results. We emphasize the use of closure tests to perform extensive validation of the analysis workflow before comparison with observations. Our study combines measurements from the Large Hadron Collider (LHC) and the Relativistic Heavy Ion Collider (RHIC), achieving a good simultaneous description of a wide range of hadronic observables from both colliders. The selected experimental data provide reasonable constraints on the shear and the bulk viscosities of the quark-gluon plasma at T ≈ 150–250 MeV, but their constraining power degrades at higher temperatures, T ≳ 250 MeV. Furthermore, these viscosity constraints are found to depend significantly on how viscous corrections are handled in the transition from hydrodynamics to the hadronic transport. Several other model parameters, including the free-streaming time, show similar model sensitivity, while the initial condition parameters associated with the TRENTo ansatz are quite robust againstmore »
- Authors:
- more »
- Publication Date:
- Research Org.:
- Brookhaven National Laboratory (BNL), Upton, NY (United States); Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States); Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States); Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP); USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC), High Energy Physics (HEP)
- Contributing Org.:
- JETSCAPE Collaboration
- OSTI Identifier:
- 1782989
- Alternate Identifier(s):
- OSTI ID: 1805275; OSTI ID: 1830636; OSTI ID: 1885102
- Report Number(s):
- BNL-221738-2021-JAAM; LLNL-JRNL-826819
Journal ID: ISSN 2469-9985; PRVCAN; 054904
- Grant/Contract Number:
- AC02-05CH11231; AC52-07NA27344; SC0013460; SC0004286; SC0012704; FG02-92ER40713; FG02-05ER41367
- Resource Type:
- Published Article
- Journal Name:
- Physical Review C
- Additional Journal Information:
- Journal Name: Physical Review C Journal Volume: 103 Journal Issue: 5; Journal ID: ISSN 2469-9985
- Publisher:
- American Physical Society
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Collective flow; Equations of state of nuclear matter; Particle & resonance production; Particle correlations & fluctuations; Quark-gluon plasma; Relativistic heavy-ion collisions; Bayesian methods; collective flow; equations of state of nuclear matter; particle & resonance production; particle correlations & fluctuations; quark-gluon plasma; relativistic heavy-ion collisions
Citation Formats
Everett, D., Ke, W., Paquet, J. -F., Vujanovic, G., Bass, S. A., Du, L., Gale, C., Heffernan, M., Heinz, U., Liyanage, D., Luzum, M., Majumder, A., McNelis, M., Shen, C., Xu, Y., Angerami, A., Cao, S., Chen, Y., Coleman, J., Cunqueiro, L., Dai, T., Ehlers, R., Elfner, H., Fan, W., Fries, R. J., Garza, F., He, Y., Jacak, B. V., Jacobs, P. M., Jeon, S., Kim, B., Kordell, M., Kumar, A., Mak, S., Mulligan, J., Nattrass, C., Oliinychenko, D., Park, C., Putschke, J. H., Roland, G., Schenke, B., Schwiebert, L., Silva, A., Sirimanna, C., Soltz, R. A., Tachibana, Y., Wang, X. -N., Wolpert, R. L., and JETSCAPE Collaboration. Multisystem Bayesian constraints on the transport coefficients of QCD matter. United States: N. p., 2021.
Web. doi:10.1103/PhysRevC.103.054904.
Everett, D., Ke, W., Paquet, J. -F., Vujanovic, G., Bass, S. A., Du, L., Gale, C., Heffernan, M., Heinz, U., Liyanage, D., Luzum, M., Majumder, A., McNelis, M., Shen, C., Xu, Y., Angerami, A., Cao, S., Chen, Y., Coleman, J., Cunqueiro, L., Dai, T., Ehlers, R., Elfner, H., Fan, W., Fries, R. J., Garza, F., He, Y., Jacak, B. V., Jacobs, P. M., Jeon, S., Kim, B., Kordell, M., Kumar, A., Mak, S., Mulligan, J., Nattrass, C., Oliinychenko, D., Park, C., Putschke, J. H., Roland, G., Schenke, B., Schwiebert, L., Silva, A., Sirimanna, C., Soltz, R. A., Tachibana, Y., Wang, X. -N., Wolpert, R. L., & JETSCAPE Collaboration. Multisystem Bayesian constraints on the transport coefficients of QCD matter. United States. https://doi.org/10.1103/PhysRevC.103.054904
Everett, D., Ke, W., Paquet, J. -F., Vujanovic, G., Bass, S. A., Du, L., Gale, C., Heffernan, M., Heinz, U., Liyanage, D., Luzum, M., Majumder, A., McNelis, M., Shen, C., Xu, Y., Angerami, A., Cao, S., Chen, Y., Coleman, J., Cunqueiro, L., Dai, T., Ehlers, R., Elfner, H., Fan, W., Fries, R. J., Garza, F., He, Y., Jacak, B. V., Jacobs, P. M., Jeon, S., Kim, B., Kordell, M., Kumar, A., Mak, S., Mulligan, J., Nattrass, C., Oliinychenko, D., Park, C., Putschke, J. H., Roland, G., Schenke, B., Schwiebert, L., Silva, A., Sirimanna, C., Soltz, R. A., Tachibana, Y., Wang, X. -N., Wolpert, R. L., and JETSCAPE Collaboration. Fri .
"Multisystem Bayesian constraints on the transport coefficients of QCD matter". United States. https://doi.org/10.1103/PhysRevC.103.054904.
@article{osti_1782989,
title = {Multisystem Bayesian constraints on the transport coefficients of QCD matter},
author = {Everett, D. and Ke, W. and Paquet, J. -F. and Vujanovic, G. and Bass, S. A. and Du, L. and Gale, C. and Heffernan, M. and Heinz, U. and Liyanage, D. and Luzum, M. and Majumder, A. and McNelis, M. and Shen, C. and Xu, Y. and Angerami, A. and Cao, S. and Chen, Y. and Coleman, J. and Cunqueiro, L. and Dai, T. and Ehlers, R. and Elfner, H. and Fan, W. and Fries, R. J. and Garza, F. and He, Y. and Jacak, B. V. and Jacobs, P. M. and Jeon, S. and Kim, B. and Kordell, M. and Kumar, A. and Mak, S. and Mulligan, J. and Nattrass, C. and Oliinychenko, D. and Park, C. and Putschke, J. H. and Roland, G. and Schenke, B. and Schwiebert, L. and Silva, A. and Sirimanna, C. and Soltz, R. A. and Tachibana, Y. and Wang, X. -N. and Wolpert, R. L. and JETSCAPE Collaboration},
abstractNote = {We study the properties of the strongly coupled quark-gluon plasma with a multistage model of heavy-ion collisions that combines the TRENTo initial condition ansatz, free-streaming, viscous relativistic hydrodynamics, and a relativistic hadronic transport. A model-to-data comparison with Bayesian inference is performed, revisiting assumptions made in previous studies. The role of parameter priors is studied in light of their importance for the interpretation of results. We emphasize the use of closure tests to perform extensive validation of the analysis workflow before comparison with observations. Our study combines measurements from the Large Hadron Collider (LHC) and the Relativistic Heavy Ion Collider (RHIC), achieving a good simultaneous description of a wide range of hadronic observables from both colliders. The selected experimental data provide reasonable constraints on the shear and the bulk viscosities of the quark-gluon plasma at T ≈ 150–250 MeV, but their constraining power degrades at higher temperatures, T ≳ 250 MeV. Furthermore, these viscosity constraints are found to depend significantly on how viscous corrections are handled in the transition from hydrodynamics to the hadronic transport. Several other model parameters, including the free-streaming time, show similar model sensitivity, while the initial condition parameters associated with the TRENTo ansatz are quite robust against variations of the particlization prescription. We also report on the sensitivity of individual observables to the various model parameters. Finally, Bayesian model selection is used to quantitatively compare the agreement with measurements for different sets of model assumptions, including different particlization models and different choices for which parameters are allowed to vary between RHIC and LHC energies.},
doi = {10.1103/PhysRevC.103.054904},
journal = {Physical Review C},
number = 5,
volume = 103,
place = {United States},
year = {Fri May 14 00:00:00 EDT 2021},
month = {Fri May 14 00:00:00 EDT 2021}
}
https://doi.org/10.1103/PhysRevC.103.054904
Works referenced in this record:
Transport coefficients of bulk viscous pressure in the 14-moment approximation
journal, August 2014
- Denicol, G. S.; Jeon, S.; Gale, C.
- Physical Review C, Vol. 90, Issue 2
Constraining the initial state granularity with bulk observables in Au+Au collisions at \sqrt{s_{\rm NN}}=200 GeV
journal, February 2011
- Petersen, Hannah; Coleman-Smith, Christopher; Bass, Steffen A.
- Journal of Physics G: Nuclear and Particle Physics, Vol. 38, Issue 4
Photon radiation from heavy-ion collisions in the regime
journal, February 2019
- Gale, Charles; Jeon, Sangyong; McDonald, Scott
- Nuclear Physics A, Vol. 982
Kinetic foundations of relativistic dissipative fluid dynamics
journal, November 2014
- Denicol, G. S.
- Journal of Physics G: Nuclear and Particle Physics, Vol. 41, Issue 12
Bulk viscosity, particle spectra, and flow in heavy-ion collisions
journal, April 2012
- Dusling, Kevin; Schäfer, Thomas
- Physical Review C, Vol. 85, Issue 4
Collective flow and two-pion correlations from a relativistic hydrodynamic model with early chemical freeze-out
journal, November 2002
- Hirano, Tetsufumi; Tsuda, Keiichi
- Physical Review C, Vol. 66, Issue 5
Handbook of Markov Chain Monte Carlo
book, May 2011
- Brooks, Steve; Gelman, Andrew; Jones, Galin
- Handbooks of Modern Statistical Methods
Azimuthal anisotropy in Au+Au collisions at
journal, July 2005
- Adams, J.; Aggarwal, M. M.; Ahammed, Z.
- Physical Review C, Vol. 72, Issue 1
Running the gamut of high energy nuclear collisions
journal, October 2020
- Schenke, Björn; Shen, Chun; Tribedy, Prithwish
- Physical Review C, Vol. 102, Issue 4
A relativistic relaxation-time model for the Boltzmann equation
journal, June 1974
- Anderson, J. L.; Witting, H. R.
- Physica, Vol. 74, Issue 3
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
Erratum: Derivation of transient relativistic fluid dynamics from the Boltzmann equation [Phys. Rev. D 85 , 114047 (2012)]
journal, February 2015
- Denicol, G. S.; Niemi, H.; Molnár, E.
- Physical Review D, Vol. 91, Issue 3
Second-Order Hydrodynamics in Next-to-Leading-Order QCD
journal, July 2018
- Ghiglieri, Jacopo; Moore, Guy D.; Teaney, Derek
- Physical Review Letters, Vol. 121, Issue 5
Bulk viscosity of a pion gas
journal, April 2011
- Lu, Egang; Moore, Guy D.
- Physical Review C, Vol. 83, Issue 4
Coupling relativistic viscous hydrodynamics to Boltzmann descriptions
journal, October 2010
- Pratt, Scott; Torrieri, Giorgio
- Physical Review C, Vol. 82, Issue 4
Boost-invariant (2+1)-dimensional anisotropic hydrodynamics
journal, June 2012
- Martinez, Mauricio; Ryblewski, Radoslaw; Strickland, Michael
- Physical Review C, Vol. 85, Issue 6
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
Hydrodynamic simulations of relativistic heavy-ion collisions with different lattice quantum chromodynamics calculations of the equation of state
journal, April 2016
- Moreland, J. Scott; Soltz, Ron A.
- Physical Review C, Vol. 93, Issue 4
Collective modes of an anisotropic quark-gluon plasma
journal, August 2003
- Romatschke, Paul; Strickland, Michael
- Physical Review D, Vol. 68, Issue 3
Equation of state in ( )-flavor QCD
journal, November 2014
- Bazavov, A.; Bhattacharya, Tanmoy; DeTar, C.
- Physical Review D, Vol. 90, Issue 9
Constraining the Equation of State of Superhadronic Matter from Heavy-Ion Collisions
journal, May 2015
- Pratt, Scott; Sangaline, Evan; Sorensen, Paul
- Physical Review Letters, Vol. 114, Issue 20
Review of Particle Physics
journal, August 2018
- Tanabashi, M.; Hagiwara, K.; Hikasa, K.
- Physical Review D, Vol. 98, Issue 3
Applications of Bayesian model averaging to the curvature and size of the Universe: Applications of Bayesian model averaging
journal, March 2011
- Vardanyan, Mihran; Trotta, Roberto; Silk, Joseph
- Monthly Notices of the Royal Astronomical Society: Letters, Vol. 413, Issue 1
Bulk viscosity of strongly interacting matter in the relaxation time approximation
journal, April 2018
- Czajka, Alina; Hauksson, Sigtryggur; Shen, Chun
- Physical Review C, Vol. 97, Issue 4
Applying Bayesian parameter estimation to relativistic heavy-ion collisions: Simultaneous characterization of the initial state and quark-gluon plasma medium
journal, August 2016
- Bernhard, Jonah E.; Moreland, J. Scott; Bass, Steffen A.
- Physical Review C, Vol. 94, Issue 2
Transient relativistic thermodynamics and kinetic theory
journal, April 1979
- Israel, W.; Stewart, J. M.
- Annals of Physics, Vol. 118, Issue 2
Probing Early-Time Dynamics and Quark-Gluon Plasma Transport Properties with Photons and Hadrons
journal, January 2021
- Gale, Charles; Paquet, Jean-François; Schenke, Björn
- Nuclear Physics A, Vol. 1005
Identified charged particle spectra and yields in collisions at
journal, March 2004
- Adler, S. S.; Afanasiev, S.; Aidala, C.
- Physical Review C, Vol. 69, Issue 3
Effect of bulk viscosity on elliptic flow near the QCD phase transition
journal, December 2009
- Denicol, G. S.; Kodama, T.; Koide, T.
- Physical Review C, Vol. 80, Issue 6
Bayesian estimation of the specific shear and bulk viscosity of quark–gluon plasma
journal, August 2019
- Bernhard, Jonah E.; Moreland, J. Scott; Bass, Steffen A.
- Nature Physics, Vol. 15, Issue 11
Landau's hydrodynamic model of particle production and electron-positron annihilation into hadrons
journal, January 1975
- Cooper, Fred; Frye, Graham; Schonberg, Edmond
- Physical Review D, Vol. 11, Issue 1
Does stability of relativistic dissipative fluid dynamics imply causality?
journal, June 2010
- Pu, Shi; Koide, Tomoi; Rischke, Dirk H.
- Physical Review D, Vol. 81, Issue 11
Decoding the phase structure of QCD via particle production at high energy
journal, September 2018
- Andronic, Anton; Braun-Munzinger, Peter; Redlich, Krzysztof
- Nature, Vol. 561, Issue 7723
Full result for the QCD equation of state with <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" xmlns:sa="http://www.elsevier.com/xml/common/struct-aff/dtd"><mml:mn>2</mml:mn><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:math> flavors
journal, March 2014
- Borsányi, Szabolcs; Fodor, Zoltán; Hoelbling, Christian
- Physics Letters B, Vol. 730
Temperature dependence of of strongly interacting matter: Effects of the equation of state and the parametric form of
journal, October 2020
- Auvinen, Jussi; Eskola, Kari J.; Huovinen, Pasi
- Physical Review C, Vol. 102, Issue 4
QCD shear viscosity at (almost) NLO
journal, March 2018
- Ghiglieri, Jacopo; Moore, Guy D.; Teaney, Derek
- Journal of High Energy Physics, Vol. 2018, Issue 3
Hadron production in central nucleus–nucleus collisions at chemical freeze-out
journal, June 2006
- Andronic, A.; Braun-Munzinger, P.; Stachel, J.
- Nuclear Physics A, Vol. 772, Issue 3-4
Centrality dependence of , , and production in Pb-Pb collisions at TeV
journal, October 2013
- Abelev, B.; Adam, J.; Adamová, D.
- Physical Review C, Vol. 88, Issue 4
Bulk viscosity of high-temperature QCD
journal, October 2006
- Arnold, Peter; Doğan, Çağlar; Moore, Guy D.
- Physical Review D, Vol. 74, Issue 8
Hydrodynamic predictions for Pb+Pb collisions at 5.02 TeV
journal, June 2017
- McDonald, Scott; Shen, Chun; Fillion-Gourdeau, François
- Physical Review C, Vol. 95, Issue 6
Inclusive and effective bulk viscosities in the hadron gas
journal, December 2020
- Rose, J-B; Torres-Rincon, J. M.; Elfner, H.
- Journal of Physics G: Nuclear and Particle Physics, Vol. 48, Issue 1
Data Analysis Recipes: Using Markov Chain Monte Carlo
journal, May 2018
- Hogg, David W.; Foreman-Mackey, Daniel
- The Astrophysical Journal Supplement Series, Vol. 236, Issue 1
Production of photons in relativistic heavy-ion collisions
journal, April 2016
- Paquet, Jean-François; Shen, Chun; Denicol, Gabriel S.
- Physical Review C, Vol. 93, Issue 4
Relativistic quantum transport coefficients for second-order viscous hydrodynamics
journal, May 2015
- Florkowski, Wojciech; Jaiswal, Amaresh; Maksymiuk, Ewa
- Physical Review C, Vol. 91, Issue 5
Anisotropic matching principle for the hydrodynamic expansion
journal, October 2016
- Tinti, Leonardo
- Physical Review C, Vol. 94, Issue 4
Shear viscosity of a hadron gas and influence of resonance lifetimes on relaxation time
journal, May 2018
- Rose, J. -B.; Torres-Rincon, J. M.; Schäfer, A.
- Physical Review C, Vol. 97, Issue 5
Transport coefficients for bulk viscous evolution in the relaxation-time approximation
journal, October 2014
- Jaiswal, Amaresh; Ryblewski, Radoslaw; Strickland, Michael
- Physical Review C, Vol. 90, Issue 4
A resummed method of moments for the relativistic hydrodynamic expansion
journal, February 2019
- Tinti, L.; Vujanovic, G.; Noronha, J.
- Nuclear Physics A, Vol. 982
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
Hybrid Color Glass Condensate and hydrodynamic description of the Relativistic Heavy Ion Collider small system scan
journal, April 2020
- Schenke, Björn; Shen, Chun; Tribedy, Prithwish
- Physics Letters B, Vol. 803
Cancellation of the meson in thermal models
journal, September 2015
- Broniowski, Wojciech; Giacosa, Francesco; Begun, Viktor
- Physical Review C, Vol. 92, Issue 3
Hybrid model approach for strange and multistrange hadrons in TeV collisions
journal, March 2015
- Zhu, Xiangrong; Meng, Fanli; Song, Huichao
- Physical Review C, Vol. 91, Issue 3
On the kinetic theory of rarefied gases
journal, December 1949
- Grad, Harold
- Communications on Pure and Applied Mathematics, Vol. 2, Issue 4
Viscous QCD matter in a hybrid hydrodynamic+Boltzmann approach
journal, February 2011
- Song, Huichao; Bass, Steffen A.; Heinz, Ulrich
- Physical Review C, Vol. 83, Issue 2
Toward a deeper understanding of how experiments constrain the underlying physics of heavy-ion collisions
journal, February 2016
- Sangaline, Evan; Pratt, Scott
- Physical Review C, Vol. 93, Issue 2
Event-by-event fluctuations in a perturbative QCD + saturation + hydrodynamics model: Determining QCD matter shear viscosity in ultrarelativistic heavy-ion collisions
journal, February 2016
- Niemi, H.; Eskola, K. J.; Paatelainen, R.
- Physical Review C, Vol. 93, Issue 2
Particlization in hybrid models
journal, November 2012
- Huovinen, Pasi; Petersen, Hannah
- The European Physical Journal A, Vol. 48, Issue 11
Glauber Modeling in High-Energy Nuclear Collisions
journal, November 2007
- Miller, Michael L.; Reygers, Klaus; Sanders, Stephen J.
- Annual Review of Nuclear and Particle Science, Vol. 57, Issue 1
Third harmonic flow of charged particles in Au Au collisions at GeV
journal, July 2013
- Adamczyk, L.; Adkins, J. K.; Agakishiev, G.
- Physical Review C, Vol. 88, Issue 1
Determining fundamental properties of matter created in ultrarelativistic heavy-ion collisions
journal, March 2014
- Novak, J.; Novak, K.; Pratt, S.
- Physical Review C, Vol. 89, Issue 3
Bayesian evidence as a tool for comparing datasets
journal, March 2006
- Marshall, Phil; Rajguru, Nutan; Slosar, Anže
- Physical Review D, Vol. 73, Issue 6
Nonlinear fluid dynamics from gravity
journal, February 2008
- Bhattacharyya, Sayantani; Minwalla, Shiraz; Hubeny, Veronika E.
- Journal of High Energy Physics, Vol. 2008, Issue 02
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
Derivation of anisotropic dissipative fluid dynamics from the Boltzmann equation
journal, June 2016
- Molnár, Etele; Niemi, Harri; Rischke, Dirk H.
- Physical Review D, Vol. 93, Issue 11
Hard probes of non-equilibrium quark-gluon plasma
journal, January 2021
- Hauksson, Sigtryggur; Jeon, Sangyong; Gale, Charles
- Nuclear Physics A, Vol. 1005
Universal properties of bulk viscosity near the QCD phase transition
journal, May 2008
- Karsch, Frithjof; Kharzeev, Dmitri; Tuchin, Kirill
- Physics Letters B, Vol. 663, Issue 3
Conformal relativistic viscous hydrodynamics: Applications to RHIC results at GeV
journal, September 2008
- Luzum, Matthew; Romatschke, Paul
- Physical Review C, Vol. 78, Issue 3
Leading-order anisotropic hydrodynamics for systems with massive particles
journal, May 2014
- Florkowski, Wojciech; Ryblewski, Radoslaw; Strickland, Michael
- Physical Review C, Vol. 89, Issue 5
Choosing the Sample Size of a Computer Experiment: A Practical Guide
journal, November 2009
- Loeppky, Jason L.; Sacks, Jerome; Welch, William J.
- Technometrics, Vol. 51, Issue 4
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
New High-Resolution Central Schemes for Nonlinear Conservation Laws and Convection–Diffusion Equations
journal, May 2000
- Kurganov, Alexander; Tadmor, Eitan
- Journal of Computational Physics, Vol. 160, Issue 1
Centrality Dependence of the Charged-Particle Multiplicity Density at Midrapidity in Pb-Pb Collisions at
journal, January 2011
- Aamodt, K.; Abrahantes Quintana, A.; Adamová, D.
- Physical Review Letters, Vol. 106, Issue 3
Spectra and elliptic flow for identified hadrons in TeV Pb + Pb collisions
journal, March 2014
- Song, Huichao; Bass, Steffen A.; Heinz, Ulrich
- Physical Review C, Vol. 89, Issue 3
Bayesian Experimental Design: A Review
journal, August 1995
- Chaloner, Kathryn; Verdinelli, Isabella
- Statistical Science, Vol. 10, Issue 3
Dynamics of hot bulk QCD matter: From the quark-gluon plasma to hadronic freeze-out
journal, May 2000
- Bass, S. A.; Dumitru, A.
- Physical Review C, Vol. 61, Issue 6
Primordial hadrosynthesis in the little bang
journal, December 1999
- Heinz, Ulrich
- Nuclear Physics A, Vol. 661, Issue 1-4
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
Effects of bulk viscosity at freezeout
journal, November 2009
- Monnai, Akihiko; Hirano, Tetsufumi
- Physical Review C, Vol. 80, Issue 5
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
Learning about physical parameters: the importance of model discrepancy
journal, October 2014
- Brynjarsdóttir, Jenný; OʼHagan, Anthony
- Inverse Problems, Vol. 30, Issue 11
Bayes in the sky: Bayesian inference and model selection in cosmology
journal, March 2008
- Trotta, Roberto
- Contemporary Physics, Vol. 49, Issue 2
Hadronic freeze-out following a first order hadronization phase transition in ultrarelativistic heavy-ion collisions
journal, July 1999
- Bass, S. A.; Dumitru, A.; Bleicher, M.
- Physical Review C, Vol. 60, Issue 2
Thermal phenomenology of hadrons from 200 A GeV S+S collisions
journal, November 1993
- Schnedermann, Ekkard; Sollfrank, Josef; Heinz, Ulrich
- Physical Review C, Vol. 48, Issue 5
Event-by-event mean $$\varvec{p}_{\mathbf {T}}$$ p T fluctuations in pp and Pb–Pb collisions at the LHC
journal, October 2014
- Abelev, B.; Adam, J.; Adamová, D.
- The European Physical Journal C, Vol. 74, Issue 10
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
The Initial Stages of Heavy Ion Collisions
journal, January 2014
- Gelis, F.
- Acta Physica Polonica B, Vol. 45, Issue 12
Event-by-Event Anisotropic Flow in Heavy-ion Collisions from Combined Yang-Mills and Viscous Fluid Dynamics
journal, January 2013
- Gale, Charles; Jeon, Sangyong; Schenke, Björn
- Physical Review Letters, Vol. 110, Issue 1
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
- Ryu, Sangwook; Paquet, Jean-François; Shen, Chun
- Physical Review C, Vol. 97, Issue 3
Strongly Interacting Low-Viscosity Matter Created in Relativistic Nuclear Collisions
journal, October 2006
- Csernai, Laszlo P.; Kapusta, Joseph I.; McLerran, Larry D.
- Physical Review Letters, Vol. 97, Issue 15
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
Investigating the temperature dependence of the specific shear viscosity of QCD matter with dilepton radiation
journal, July 2018
- Vujanovic, Gojko; Denicol, Gabriel S.; Luzum, Matthew
- Physical Review C, Vol. 98, Issue 1
Erratum: Pre-equilibrium evolution effects on heavy-ion collision observables [Phys. Rev. C 91 , 064906 (2015)]
journal, October 2015
- Liu, Jia; Shen, Chun; Heinz, Ulrich
- Physical Review C, Vol. 92, Issue 4
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
Transport Coefficients of Hadronic Matter Near
journal, October 2009
- Noronha-Hostler, Jacquelyn; Noronha, Jorge; Greiner, Carsten
- Physical Review Letters, Vol. 103, Issue 17
Higher Harmonic Anisotropic Flow Measurements of Charged Particles in Pb-Pb Collisions at
journal, July 2011
- Aamodt, K.; Abelev, B.; Abrahantes Quintana, A.
- Physical Review Letters, Vol. 107, Issue 3
Studying QGP with flow: A theory overview
journal, January 2021
- Shen, Chun
- Nuclear Physics A, Vol. 1005
Nonthermal Ratio at LHC as a Consequence of Hadronic Final State Interactions
journal, January 2013
- Steinheimer, Jan; Aichelin, Jörg; Bleicher, Marcus
- Physical Review Letters, Vol. 110, Issue 4
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
Erratum: 200 GeV Collisions Serve a Nearly Perfect Quark-Gluon Liquid [Phys. Rev. Lett. 106 , 192301 (2011)]
journal, September 2012
- Song, Huichao; Bass, Steffen A.; Heinz, Ulrich
- Physical Review Letters, Vol. 109, Issue 13
Fluid Dynamics and Viscosity in Strongly Correlated Fluids
journal, October 2014
- Schäfer, Thomas
- Annual Review of Nuclear and Particle Science, Vol. 64, Issue 1
Suppression of elliptic flow in a minimally viscous quark–gluon plasma
journal, January 2008
- Song, Huichao; Heinz, Ulrich
- Physics Letters B, Vol. 658, Issue 5
Pre-equilibrium evolution effects on heavy-ion collision observables
journal, June 2015
- Liu, Jia; Shen, Chun; Heinz, Ulrich
- Physical Review C, Vol. 91, Issue 6
A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems
journal, May 1954
- Bhatnagar, P. L.; Gross, E. P.; Krook, M.
- Physical Review, Vol. 94, Issue 3
Reconstructing the source in heavy ion collisions from particle interferometry
journal, August 1998
- Wiedemann, Urs Achim; Tomášik, Boris; Heinz, Ulrich
- Nuclear Physics A, Vol. 638, Issue 1-2
Universal flow in the first stage of relativistic heavy ion collisions
journal, April 2009
- Vredevoogd, Joshua; Pratt, Scott
- Physical Review C, Vol. 79, Issue 4
Multiplicity scaling in ideal and viscous hydrodynamics
journal, August 2008
- Song, Huichao; Heinz, Ulrich
- Physical Review C, Vol. 78, Issue 2
Flux-corrected transport. I. SHASTA, a fluid transport algorithm that works
journal, January 1973
- Boris, Jay P.; Book, David L.
- Journal of Computational Physics, Vol. 11, Issue 1
Flow harmonics from self-consistent particlization of a viscous fluid
journal, October 2017
- Wolff, Zack; Molnar, Denes
- Physical Review C, Vol. 96, Issue 4
Hot-dense Lattice QCD
journal, November 2019
- Bazavov, Alexei; Karsch, Frithjof; Mukherjee, Swagato
- The European Physical Journal A, Vol. 55, Issue 11
200 GeV Collisions Serve a Nearly Perfect Quark-Gluon Liquid
journal, May 2011
- Song, Huichao; Bass, Steffen A.; Heinz, Ulrich
- Physical Review Letters, Vol. 106, Issue 19
Bayesian calibration of a hybrid nuclear collision model using and Pb-Pb data at energies available at the CERN Large Hadron Collider
journal, February 2020
- Moreland, J. Scott; Bernhard, Jonah E.; Bass, Steffen A.
- Physical Review C, Vol. 101, Issue 2
Scaling relation between and collisions
journal, November 2014
- Başar, Gökçe; Teaney, Derek
- Physical Review C, Vol. 90, 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
Viscosity Information from Relativistic Nuclear Collisions: How Perfect is the Fluid Observed at RHIC?
journal, October 2007
- Romatschke, Paul; Romatschke, Ulrike
- Physical Review Letters, Vol. 99, Issue 17
Deviations of the energy-momentum tensor from equilibrium in the initial state for hydrodynamics from transport approaches
journal, March 2016
- Oliinychenko, D.; Petersen, H.
- Physical Review C, Vol. 93, Issue 3
Information Theory and Statistical Mechanics
journal, May 1957
- Jaynes, E. T.
- Physical Review, Vol. 106, Issue 4
Resummed hydrodynamic expansion for a plasma of particles interacting with fields
journal, January 2019
- Tinti, L.; Vujanovic, G.; Noronha, J.
- Physical Review D, Vol. 99, Issue 1
Systematic measurements of identified particle spectra in , , and collisions at the STAR detector
journal, March 2009
- Abelev, B. I.; Aggarwal, M. M.; Ahammed, Z.
- Physical Review C, Vol. 79, Issue 3
Effect of shear viscosity on spectra, elliptic flow, and Hanbury Brown–Twiss radii
journal, September 2003
- Teaney, Derek
- Physical Review C, Vol. 68, Issue 3
Measurement of transverse energy at midrapidity in Pb-Pb collisions at TeV
journal, September 2016
- Adam, J.; Adamová, D.; Aggarwal, M. M.
- Physical Review C, Vol. 94, Issue 3
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
Mass ordering of differential elliptic flow and its violation for ϕ mesons
journal, April 2008
- Hirano, Tetsufumi; Heinz, Ulrich; Kharzeev, Dmitri
- Physical Review C, Vol. 77, Issue 4
Fully integrated transport approach to heavy ion reactions with an intermediate hydrodynamic stage
journal, October 2008
- Petersen, Hannah; Steinheimer, Jan; Burau, Gerhard
- Physical Review C, Vol. 78, Issue 4
Single-particle distribution in the hydrodynamic and statistical thermodynamic models of multiparticle production
journal, July 1974
- Cooper, Fred; Frye, Graham
- Physical Review D, Vol. 10, Issue 1
Collective modes of an anisotropic quark-gluon plasma: II
journal, December 2004
- Romatschke, Paul; Strickland, Michael
- Physical Review D, Vol. 70, Issue 11
Particlization in fluid dynamical simulations of heavy-ion collisions: The iS3D module
journal, January 2021
- McNelis, Mike; Everett, Derek; Heinz, Ulrich
- Computer Physics Communications, Vol. 258
Derivation of fluid dynamics from kinetic theory with the 14-moment approximation
journal, November 2012
- Denicol, G. S.; Molnár, E.; Niemi, H.
- The European Physical Journal A, Vol. 48, Issue 11
Erratum: Conformal relativistic viscous hydrodynamics: Applications to RHIC results at GeV [Phys. Rev. C 78 , 034915 (2008)]
journal, March 2009
- Luzum, Matthew; Romatschke, Paul
- Physical Review C, Vol. 79, Issue 3
Elliptic and Triangular Flow in Event-by-Event Viscous Hydrodynamics
journal, January 2011
- Schenke, Björn; Jeon, Sangyong; Gale, Charles
- Physical Review Letters, Vol. 106, Issue 4
Derivation of transient relativistic fluid dynamics from the Boltzmann equation
journal, June 2012
- Denicol, G. S.; Niemi, H.; Molnár, E.
- Physical Review D, Vol. 85, Issue 11
Nonstationary irreversible thermodynamics: A causal relativistic theory
journal, September 1976
- Israel, Werner
- Annals of Physics, Vol. 100, Issue 1-2
Self-consistent conversion of a viscous fluid to particles
journal, February 2017
- Molnar, Denes; Wolff, Zack
- Physical Review C, Vol. 95, Issue 2
Dynamic temperature selection for parallel tempering in Markov chain Monte Carlo simulations
journal, November 2015
- Vousden, W. D.; Farr, W. M.; Mandel, I.
- Monthly Notices of the Royal Astronomical Society, Vol. 455, Issue 2
Space-time evolution of bulk QCD matter
journal, January 2007
- Nonaka, Chiho; Bass, Steffen A.
- Physical Review C, Vol. 75, Issue 1
Bulk viscosity of QCD matter near the critical temperature
journal, September 2008
- Kharzeev, Dmitri; Tuchin, Kirill
- Journal of High Energy Physics, Vol. 2008, Issue 09
(3+1)D hydrodynamic simulation of relativistic heavy-ion collisions
journal, July 2010
- Schenke, Björn; Jeon, Sangyong; Gale, Charles
- Physical Review C, Vol. 82, Issue 1
Particle production and equilibrium properties within a new hadron transport approach for heavy-ion collisions
journal, November 2016
- Weil, J.; Steinberg, V.; Staudenmaier, J.
- Physical Review C, Vol. 94, Issue 5
Testing viscous and anisotropic hydrodynamics in an exactly solvable case
journal, August 2013
- Florkowski, Wojciech; Ryblewski, Radoslaw; Strickland, Michael
- Physical Review C, Vol. 88, Issue 2
Effective viscosities in a hydrodynamically expanding boost-invariant QCD plasma
journal, July 2020
- Paquet, Jean-François; Bass, Steffen A.
- Physical Review C, Vol. 102, Issue 1
Constraints on rapidity-dependent initial conditions from charged-particle pseudorapidity densities and two-particle correlations
journal, October 2017
- Ke, Weiyao; Moreland, J. Scott; Bernhard, Jonah E.
- Physical Review C, Vol. 96, Issue 4
Improved single-particle phase-space distributions for viscous fluid dynamic models of relativistic heavy ion collisions
journal, July 2020
- Damodaran, Mridula; Molnar, Denes; Barnaföldi, Gergely Gábor
- Physical Review C, Vol. 102, Issue 1
Net-baryon diffusion in fluid-dynamic simulations of relativistic heavy-ion collisions
journal, September 2018
- Denicol, Gabriel S.; Gale, Charles; Jeon, Sangyong
- Physical Review C, Vol. 98, Issue 3
The iEBE-VISHNU code package for relativistic heavy-ion collisions
journal, February 2016
- Shen, Chun; Qiu, Zhi; Song, Huichao
- Computer Physics Communications, Vol. 199
A review of techniques for parameter sensitivity analysis of environmental models
journal, September 1994
- Hamby, D. M.
- Environmental Monitoring and Assessment, Vol. 32, Issue 2
Collision-geometry-based 3D initial condition for relativistic heavy-ion collisions
journal, July 2020
- Shen, Chun; Alzhrani, Sahr
- Physical Review C, Vol. 102, Issue 1
Thermal photons as a quark-gluon plasma thermometer reexamined
journal, April 2014
- Shen, Chun; Heinz, Ulrich; Paquet, Jean-François
- Physical Review C, Vol. 89, Issue 4