Nonconformal viscous anisotropic hydrodynamics

Bazow, Dennis; Heinz, Ulrich; Martinez, Mauricio

doi:10.1103/PhysRevC.91.064903

Title: Nonconformal viscous anisotropic hydrodynamics

Journal Article · Thu Jun 04 00:00:00 EDT 2015 · Physical Review C, Nuclear Physics

DOI:https://doi.org/10.1103/PhysRevC.91.064903· OSTI ID:1604532

Bazow, Dennis ^[1];

^[1]; Martinez, Mauricio ^[1]

The Ohio State Univ., Columbus, OH (United States)

We generalize the derivation of viscous anisotropic hydrodynamics from kinetic theory to allow for nonzero particle masses. The macroscopic theory is obtained by taking moments of the Boltzmann equation after expanding the distribution function around a spheroidally deformed local momentum distribution whose form has been generalized by the addition of a scalar field that accounts nonperturbatively (i.e., already at leading order) for bulk viscous effects. Hydrodynamic equations for the parameters of the leading-order distribution function and for the residual (next-to-leading order) dissipative flows are obtained from the three lowest moments of the Boltzmann equation. The approach is tested for a system undergoing (0 + 1)-dimensional boost-invariant expansion for which the exact solution of the Boltzmann equation in the relaxation time approximation is known. Nonconformal viscous anisotropic hydrodynamics is shown to approximate this exact solution more accurately than any other known hydrodynamic approximation.

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Research Organization:: The Ohio State Univ., Columbus, OH (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP)

Grant/Contract Number:: SC0004286; SC0004104

OSTI ID:: 1604532

Alternate ID(s):: OSTI ID: 1183778

Journal Information:: Physical Review C, Nuclear Physics, Vol. 91, Issue 6; ISSN 0556-2813

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 39 works

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References (37)

Effects of bulk viscosity at freezeout Monnai, Akihiko; Hirano, Tetsufumi Physical Review C, Vol. 80, Issue 5 https://doi.org/10.1103/PhysRevC.80.054906	journal	November 2009
Bulk viscosity, particle spectra, and flow in heavy-ion collisions Dusling, Kevin; Schäfer, Thomas Physical Review C, Vol. 85, Issue 4 https://doi.org/10.1103/PhysRevC.85.044909	journal	April 2012
Bulk viscosity and cavitation in boost-invariant hydrodynamic expansion Rajagopal, Krishna; Tripuraneni, Nilesh Journal of High Energy Physics, Vol. 2010, Issue 3 https://doi.org/10.1007/JHEP03(2010)018	journal	March 2010
Shear-bulk coupling in nonconformal hydrodynamics Denicol, Gabriel S.; Florkowski, Wojciech; Ryblewski, Radoslaw Physical Review C, Vol. 90, Issue 4 https://doi.org/10.1103/PhysRevC.90.044905	journal	October 2014
Relativistic Grad polynomials Anderson, James L. Journal of Mathematical Physics, Vol. 15, Issue 7 https://doi.org/10.1063/1.1666762	journal	July 1974
Relativistic dynamics of non-ideal fluids: Viscous and heat-conducting fluids. II. Transport properties and microscopic description of relativistic nuclear matter Muronga, Azwinndini Physical Review C, Vol. 76, Issue 1 https://doi.org/10.1103/PhysRevC.76.014910	journal	July 2007
Transport coefficients for bulk viscous evolution in the relaxation-time approximation Jaiswal, Amaresh; Ryblewski, Radoslaw; Strickland, Michael Physical Review C, Vol. 90, Issue 4 https://doi.org/10.1103/PhysRevC.90.044908	journal	October 2014
Flow and interferometry in (3 + 1)-dimensional viscous hydrodynamics Bożek, Piotr Physical Review C, Vol. 85, Issue 3 https://doi.org/10.1103/PhysRevC.85.034901	journal	March 2012
Collective Flow and Viscosity in Relativistic Heavy-Ion Collisions Heinz, Ulrich; Snellings, Raimond Annual Review of Nuclear and Particle Science, Vol. 63, Issue 1 https://doi.org/10.1146/annurev-nucl-102212-170540	journal	October 2013
Relativistic dissipative hydrodynamics from kinetic theory with relaxation-time approximation Jaiswal, Amaresh Physical Review C, Vol. 87, Issue 5 https://doi.org/10.1103/PhysRevC.87.051901	journal	May 2013
Highly anisotropic and strongly dissipative hydrodynamics for early stages of relativistic heavy-ion collisions Florkowski, Wojciech; Ryblewski, Radoslaw Physical Review C, Vol. 83, Issue 3 https://doi.org/10.1103/PhysRevC.83.034907	journal	March 2011
Relativistic third-order dissipative fluid dynamics from kinetic theory Jaiswal, Amaresh Physical Review C, Vol. 88, Issue 2 https://doi.org/10.1103/PhysRevC.88.021903	journal	August 2013
Projection method and new formulation of leading-order anisotropic hydrodynamics Tinti, Leonardo; Florkowski, Wojciech Physical Review C, Vol. 89, Issue 3 https://doi.org/10.1103/PhysRevC.89.034907	journal	March 2014
Particle spectra in Pb-Pb collisions at $\sqrt{s_{NN}} = 2.76$ TeV Bożek, Piotr; Wyskiel-Piekarska, Iwona Physical Review C, Vol. 85, Issue 6 https://doi.org/10.1103/PhysRevC.85.064915	journal	June 2012
Complete second-order dissipative fluid dynamics Betz, B.; Henkel, D.; Rischke, D. H. Journal of Physics G: Nuclear and Particle Physics, Vol. 36, Issue 6 https://doi.org/10.1088/0954-3899/36/6/064029	journal	May 2009
Bulk viscosity-driven suppression of shear viscosity effects on the flow harmonics at energies available at the BNL Relativistic Heavy Ion Collider Noronha-Hostler, Jacquelyn; Noronha, Jorge; Grassi, Frédérique Physical Review C, Vol. 90, Issue 3 https://doi.org/10.1103/PhysRevC.90.034907	journal	September 2014
Instability of boost-invariant hydrodynamics with a QCD-inspired bulk viscosity Torrieri, Giorgio; Mishustin, Igor Physical Review C, Vol. 78, Issue 2 https://doi.org/10.1103/PhysRevC.78.021901	journal	August 2008
Boost-invariant (2+1)-dimensional anisotropic hydrodynamics Martinez, Mauricio; Ryblewski, Radoslaw; Strickland, Michael Physical Review C, Vol. 85, Issue 6 https://doi.org/10.1103/PhysRevC.85.064913	journal	June 2012
Bulk viscosity and spectral functions in QCD Moore, Guy D.; Saremi, Omid Journal of High Energy Physics, Vol. 2008, Issue 09 https://doi.org/10.1088/1126-6708/2008/09/015	journal	September 2008
Derivation of fluid dynamics from kinetic theory with the 14-moment approximation Denicol, G. S.; Molnár, E.; Niemi, H. The European Physical Journal A, Vol. 48, Issue 11 https://doi.org/10.1140/epja/i2012-12170-x	journal	November 2012
New Developments in Relativistic Viscous Hydrodynamics Romatschke, Paul International Journal of Modern Physics E, Vol. 19, Issue 01 https://doi.org/10.1142/S0218301310014613	journal	January 2010
Bulk and shear viscosities of matter created in relativistic heavy-ion collisions Bożek, Piotr Physical Review C, Vol. 81, Issue 3 https://doi.org/10.1103/PhysRevC.81.034909	journal	March 2010
Derivation of transient relativistic fluid dynamics from the Boltzmann equation Denicol, G. S.; Niemi, H.; Molnár, E. Physical Review D, Vol. 85, Issue 11 https://doi.org/10.1103/PhysRevD.85.114047	journal	June 2012
Interplay of shear and bulk viscosity in generating flow in heavy-ion collisions Song, Huichao; Heinz, Ulrich Physical Review C, Vol. 81, Issue 2 https://doi.org/10.1103/PhysRevC.81.024905	journal	February 2010
Bulk viscosity effects in event-by-event relativistic hydrodynamics Noronha-Hostler, Jacquelyn; Denicol, Gabriel S.; Noronha, Jorge Physical Review C, Vol. 88, Issue 4 https://doi.org/10.1103/PhysRevC.88.044916	journal	October 2013
Second order dissipative fluid dynamics from kinetic theory Betz, B.; Denicol, G. S.; Koide, T. EPJ Web of Conferences, Vol. 13 https://doi.org/10.1051/epjconf/20111307005	journal	January 2011
Universal properties of bulk viscosity near the QCD phase transition Karsch, Frithjof; Kharzeev, Dmitri; Tuchin, Kirill Physics Letters B, Vol. 663, Issue 3 https://doi.org/10.1016/j.physletb.2008.01.080	journal	May 2008
Leading-order anisotropic hydrodynamics for systems with massive particles Florkowski, Wojciech; Ryblewski, Radoslaw; Strickland, Michael Physical Review C, Vol. 89, Issue 5 https://doi.org/10.1103/PhysRevC.89.054909	journal	May 2014
Dissipative Relativistic Fluid Dynamics: A New Way to Derive the Equations of Motion from Kinetic Theory Denicol, G. S.; Koide, T.; Rischke, D. H. Physical Review Letters, Vol. 105, Issue 16 https://doi.org/10.1103/PhysRevLett.105.162501	journal	October 2010
Effect of bulk viscosity on elliptic flow near the QCD phase transition Denicol, G. S.; Kodama, T.; Koide, T. Physical Review C, Vol. 80, Issue 6 https://doi.org/10.1103/PhysRevC.80.064901	journal	December 2009
Dissipative dynamics of highly anisotropic systems Martinez, Mauricio; Strickland, Michael Nuclear Physics A, Vol. 848, Issue 1-2 https://doi.org/10.1016/j.nuclphysa.2010.08.011	journal	December 2010
Anisotropic hydrodynamics for rapidly expanding systems Florkowski, Wojciech; Ryblewski, Radoslaw; Strickland, Michael Nuclear Physics A, Vol. 916 https://doi.org/10.1016/j.nuclphysa.2013.08.004	journal	October 2013
Testing viscous and anisotropic hydrodynamics in an exactly solvable case Florkowski, Wojciech; Ryblewski, Radoslaw; Strickland, Michael Physical Review C, Vol. 88, Issue 2 https://doi.org/10.1103/PhysRevC.88.024903	journal	August 2013
Thermal equilibration in ultra-relativistic heavy-ion collisions Baym, Gordon Physics Letters B, Vol. 138, Issue 1-3 https://doi.org/10.1016/0370-2693(84)91863-X	journal	April 1984
Hydrodynamic Modeling of Heavy-Ion Collisions Gale, Charles; Jeon, Sangyong; Schenke, BjÖRn International Journal of Modern Physics A, Vol. 28, Issue 11 https://doi.org/10.1142/S0217751X13400113	journal	April 2013
Exact solution of the ( $0 + 1$ )-dimensional Boltzmann equation for a massive gas Florkowski, Wojciech; Maksymiuk, Ewa; Ryblewski, Radoslaw Physical Review C, Vol. 89, Issue 5 https://doi.org/10.1103/PhysRevC.89.054908	journal	May 2014
Bulk viscous evolution within anisotropic hydrodynamics Nopoush, Mohammad; Ryblewski, Radoslaw; Strickland, Michael Physical Review C, Vol. 90, Issue 1 https://doi.org/10.1103/PhysRevC.90.014908	journal	July 2014

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Collective flow and hydrodynamics in large and small systems at the LHC Song, Huichao; Zhou, You; Gajdošová, Katarína Nuclear Science and Techniques, Vol. 28, Issue 7 https://doi.org/10.1007/s41365-017-0245-4	journal	June 2017
Predictions for Bottomonia Suppression in 5.023 TeV Pb-Pb Collisions Krouppa, Brandon; Strickland, Michael Universe, Vol. 2, Issue 3 https://doi.org/10.3390/universe2030016	journal	August 2016
New theories of relativistic hydrodynamics in the LHC era Florkowski, Wojciech; Heller, Michal P.; Spaliński, Michał Reports on Progress in Physics, Vol. 81, Issue 4 https://doi.org/10.1088/1361-6633/aaa091	journal	February 2018
Momentum transport in strongly coupled anisotropic plasmas in the presence of strong magnetic fields Finazzo, Stefano Ivo; Critelli, Renato; Rougemont, Romulo arXiv https://doi.org/10.48550/arxiv.1605.06061	text	January 2016
Far-from-equilibrium attractors and nonlinear dynamical systems approach to the Gubser flow Behtash, Alireza; Cruz-Camacho, C. N.; Martinez, M. arXiv https://doi.org/10.48550/arxiv.1711.01745	text	January 2017
Including off-diagonal anisotropies in anisotropic hydrodynamics Nopoush, Mohammad; Strickland, Michael arXiv https://doi.org/10.48550/arxiv.1902.03303	text	January 2019

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