Nonconformal viscous anisotropic hydrodynamics

Bazow, Dennis; Heinz, Ulrich; Martinez, Mauricio

doi:10.1103/PhysRevC.91.064903

Title: Nonconformal viscous anisotropic hydrodynamics

Abstract

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.

Authors:

Bazow, Dennis ^[1];

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

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

Publication Date:: Thu Jun 04 00:00:00 EDT 2015

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

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

OSTI Identifier:: 1604532

Alternate Identifier(s):: OSTI ID: 1183778

Grant/Contract Number:: SC0004286; SC0004104

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review C, Nuclear Physics

Additional Journal Information:: Journal Volume: 91; Journal Issue: 6; Journal ID: ISSN 0556-2813

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; quark-gluon plasma; anisotropic dynamics; Boltzmann equation; viscous hydrodynamics

Citation Formats


                    Bazow, Dennis, Heinz, Ulrich, and Martinez, Mauricio. Nonconformal viscous anisotropic hydrodynamics.  United States: N. p., 2015. 
Web.  doi:10.1103/PhysRevC.91.064903.

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                    Bazow, Dennis, Heinz, Ulrich, & Martinez, Mauricio. Nonconformal viscous anisotropic hydrodynamics.  United States.  https://doi.org/10.1103/PhysRevC.91.064903

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                    Bazow, Dennis, Heinz, Ulrich, and Martinez, Mauricio. Thu .  
"Nonconformal viscous anisotropic hydrodynamics".  United States.  https://doi.org/10.1103/PhysRevC.91.064903.  https://www.osti.gov/servlets/purl/1604532.

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@article{osti_1604532,

  title        = {Nonconformal viscous anisotropic hydrodynamics},

  author       = {Bazow, Dennis and Heinz, Ulrich and Martinez, Mauricio},

  abstractNote = {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.},

  doi          = {10.1103/PhysRevC.91.064903},

  journal      = {Physical Review C, Nuclear Physics},

  number       = 6,

  volume       = 91,

  place        = {United States},

  year         = {Thu Jun 04 00:00:00 EDT 2015},

  month        = {Thu Jun 04 00:00:00 EDT 2015}

}

Copy to clipboard

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Works referenced in this record:

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Bożek, Piotr
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Noronha-Hostler, Jacquelyn; Noronha, Jorge; Grassi, Frédérique
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Torrieri, Giorgio; Mishustin, Igor
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Derivation of transient relativistic fluid dynamics from the Boltzmann equation
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Physical Review C, Vol. 89, Issue 5
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Dissipative dynamics of highly anisotropic systems
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Works referencing / citing this record:

Collective flow and hydrodynamics in large and small systems at the LHC
journal, June 2017

Song, Huichao; Zhou, You; Gajdošová, Katarína
Nuclear Science and Techniques, Vol. 28, Issue 7
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Predictions for Bottomonia Suppression in 5.023 TeV Pb-Pb Collisions
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New theories of relativistic hydrodynamics in the LHC era
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Florkowski, Wojciech; Heller, Michal P.; Spaliński, Michał
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Finazzo, Stefano Ivo; Critelli, Renato; Rougemont, Romulo
arXiv
DOI: 10.48550/arxiv.1605.06061

Far-from-equilibrium attractors and nonlinear dynamical systems approach to the Gubser flow
text, January 2017

Behtash, Alireza; Cruz-Camacho, C. N.; Martinez, M.
arXiv
DOI: 10.48550/arxiv.1711.01745

Including off-diagonal anisotropies in anisotropic hydrodynamics
text, January 2019

Nopoush, Mohammad; Strickland, Michael
arXiv
DOI: 10.48550/arxiv.1902.03303

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Title: Nonconformal viscous anisotropic hydrodynamics

Abstract

Citation Formats

Effects of bulk viscosity at freezeout journal, November 2009

Bulk viscosity, particle spectra, and flow in heavy-ion collisions journal, April 2012

Bulk viscosity and cavitation in boost-invariant hydrodynamic expansion journal, March 2010

Shear-bulk coupling in nonconformal hydrodynamics journal, October 2014

Relativistic Grad polynomials journal, July 1974

Relativistic dynamics of non-ideal fluids: Viscous and heat-conducting fluids. II. Transport properties and microscopic description of relativistic nuclear matter journal, July 2007

Transport coefficients for bulk viscous evolution in the relaxation-time approximation journal, October 2014

Flow and interferometry in (3 + 1)-dimensional viscous hydrodynamics journal, March 2012

Collective Flow and Viscosity in Relativistic Heavy-Ion Collisions journal, October 2013

Relativistic dissipative hydrodynamics from kinetic theory with relaxation-time approximation journal, May 2013

Highly anisotropic and strongly dissipative hydrodynamics for early stages of relativistic heavy-ion collisions journal, March 2011

Relativistic third-order dissipative fluid dynamics from kinetic theory journal, August 2013

Projection method and new formulation of leading-order anisotropic hydrodynamics journal, March 2014

Particle spectra in Pb-Pb collisions at s NN = 2 . 76 TeV journal, June 2012

Complete second-order dissipative fluid dynamics 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 journal, September 2014

Instability of boost-invariant hydrodynamics with a QCD-inspired bulk viscosity journal, August 2008

Boost-invariant (2+1)-dimensional anisotropic hydrodynamics journal, June 2012

Bulk viscosity and spectral functions in QCD journal, September 2008

Derivation of fluid dynamics from kinetic theory with the 14-moment approximation journal, November 2012

New Developments in Relativistic Viscous Hydrodynamics journal, January 2010

Bulk and shear viscosities of matter created in relativistic heavy-ion collisions journal, March 2010

Derivation of transient relativistic fluid dynamics from the Boltzmann equation journal, June 2012

Interplay of shear and bulk viscosity in generating flow in heavy-ion collisions journal, February 2010

Bulk viscosity effects in event-by-event relativistic hydrodynamics journal, October 2013

Second order dissipative fluid dynamics from kinetic theory journal, January 2011

Universal properties of bulk viscosity near the QCD phase transition journal, May 2008

Leading-order anisotropic hydrodynamics for systems with massive particles journal, May 2014

Dissipative Relativistic Fluid Dynamics: A New Way to Derive the Equations of Motion from Kinetic Theory journal, October 2010

Effect of bulk viscosity on elliptic flow near the QCD phase transition journal, December 2009

Dissipative dynamics of highly anisotropic systems journal, December 2010

Anisotropic hydrodynamics for rapidly expanding systems journal, October 2013

Testing viscous and anisotropic hydrodynamics in an exactly solvable case journal, August 2013

Thermal equilibration in ultra-relativistic heavy-ion collisions journal, April 1984

Hydrodynamic Modeling of Heavy-Ion Collisions journal, April 2013

Exact solution of the ( 0 + 1 )-dimensional Boltzmann equation for a massive gas journal, May 2014

Bulk viscous evolution within anisotropic hydrodynamics journal, July 2014

Collective flow and hydrodynamics in large and small systems at the LHC journal, June 2017

Predictions for Bottomonia Suppression in 5.023 TeV Pb-Pb Collisions journal, August 2016

New theories of relativistic hydrodynamics in the LHC era journal, February 2018

Momentum transport in strongly coupled anisotropic plasmas in the presence of strong magnetic fields text, January 2016

Far-from-equilibrium attractors and nonlinear dynamical systems approach to the Gubser flow text, January 2017

Including off-diagonal anisotropies in anisotropic hydrodynamics text, January 2019

Effects of bulk viscosity at freezeout
journal, November 2009

Bulk viscosity, particle spectra, and flow in heavy-ion collisions
journal, April 2012

Bulk viscosity and cavitation in boost-invariant hydrodynamic expansion
journal, March 2010

Shear-bulk coupling in nonconformal hydrodynamics
journal, October 2014

Relativistic Grad polynomials
journal, July 1974

Relativistic dynamics of non-ideal fluids: Viscous and heat-conducting fluids. II. Transport properties and microscopic description of relativistic nuclear matter
journal, July 2007

Transport coefficients for bulk viscous evolution in the relaxation-time approximation
journal, October 2014

Flow and interferometry in (3 + 1)-dimensional viscous hydrodynamics
journal, March 2012

Collective Flow and Viscosity in Relativistic Heavy-Ion Collisions
journal, October 2013

Relativistic dissipative hydrodynamics from kinetic theory with relaxation-time approximation
journal, May 2013

Highly anisotropic and strongly dissipative hydrodynamics for early stages of relativistic heavy-ion collisions
journal, March 2011

Relativistic third-order dissipative fluid dynamics from kinetic theory
journal, August 2013

Projection method and new formulation of leading-order anisotropic hydrodynamics
journal, March 2014

Particle spectra in Pb-Pb collisions at $\sqrt{s_{NN}} = 2.76$ TeV
journal, June 2012

Complete second-order dissipative fluid dynamics
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
journal, September 2014

Instability of boost-invariant hydrodynamics with a QCD-inspired bulk viscosity
journal, August 2008

Boost-invariant (2+1)-dimensional anisotropic hydrodynamics
journal, June 2012

Bulk viscosity and spectral functions in QCD
journal, September 2008

Derivation of fluid dynamics from kinetic theory with the 14-moment approximation
journal, November 2012

New Developments in Relativistic Viscous Hydrodynamics
journal, January 2010

Bulk and shear viscosities of matter created in relativistic heavy-ion collisions
journal, March 2010

Derivation of transient relativistic fluid dynamics from the Boltzmann equation
journal, June 2012

Interplay of shear and bulk viscosity in generating flow in heavy-ion collisions
journal, February 2010

Bulk viscosity effects in event-by-event relativistic hydrodynamics
journal, October 2013

Second order dissipative fluid dynamics from kinetic theory
journal, January 2011

Universal properties of bulk viscosity near the QCD phase transition
journal, May 2008

Leading-order anisotropic hydrodynamics for systems with massive particles
journal, May 2014

Dissipative Relativistic Fluid Dynamics: A New Way to Derive the Equations of Motion from Kinetic Theory
journal, October 2010

Effect of bulk viscosity on elliptic flow near the QCD phase transition
journal, December 2009

Dissipative dynamics of highly anisotropic systems
journal, December 2010

Anisotropic hydrodynamics for rapidly expanding systems
journal, October 2013

Testing viscous and anisotropic hydrodynamics in an exactly solvable case
journal, August 2013

Thermal equilibration in ultra-relativistic heavy-ion collisions
journal, April 1984

Hydrodynamic Modeling of Heavy-Ion Collisions
journal, April 2013

Exact solution of the ( $0 + 1$ )-dimensional Boltzmann equation for a massive gas
journal, May 2014

Bulk viscous evolution within anisotropic hydrodynamics
journal, July 2014

Collective flow and hydrodynamics in large and small systems at the LHC
journal, June 2017

Predictions for Bottomonia Suppression in 5.023 TeV Pb-Pb Collisions
journal, August 2016

New theories of relativistic hydrodynamics in the LHC era
journal, February 2018

Momentum transport in strongly coupled anisotropic plasmas in the presence of strong magnetic fields
text, January 2016

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text, January 2017

Including off-diagonal anisotropies in anisotropic hydrodynamics
text, January 2019