Relativistic hydrodynamic attractors with broken symmetries: non-conformal and non-homogeneous

Romatschke, Paul

doi:10.1007/jhep12(2017)079

Title: Relativistic hydrodynamic attractors with broken symmetries: non-conformal and non-homogeneous

Abstract

Standard textbooks will state that hydrodynamics requires near-equilibrium to be applicable. Recently, however, out-of-equilibrium attractor solutions for hydrodynamics have been found in kinetic theory and holography in systems with a high degree of symmetry, suggesting the possibility of a genuine out-of-equilibrium formulation of hydrodynamics. This work demonstrates that attractor solutions also occur in non-conformal kinetic theory and spatially non-homogeneous systems, potentially having important implications for the interpretation of experimental data in heavy-ion and proton-proton collisions and relativistic fluid dynamics as a whole.

Authors:

Romatschke, Paul ^[1]

Univ. of Colorado, Boulder, CO (United States). Dept. of Physics. Center for Theory of Quantum Matter

Publication Date:: Thu Dec 14 00:00:00 EST 2017

Research Org.:: Univ. of Colorado, Boulder, CO (United States)

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

OSTI Identifier:: 1512405

Grant/Contract Number:: SC0017905

Resource Type:: Accepted Manuscript

Journal Name:: Journal of High Energy Physics (Online)

Additional Journal Information:: Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 12; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; quark-gluon plasma; resummation

Citation Formats


                    Romatschke, Paul. Relativistic hydrodynamic attractors with broken symmetries: non-conformal and non-homogeneous.  United States: N. p., 2017. 
Web.  doi:10.1007/jhep12(2017)079.

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                    Romatschke, Paul. Relativistic hydrodynamic attractors with broken symmetries: non-conformal and non-homogeneous.  United States.  https://doi.org/10.1007/jhep12(2017)079

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                    Romatschke, Paul. Thu .  
"Relativistic hydrodynamic attractors with broken symmetries: non-conformal and non-homogeneous".  United States.  https://doi.org/10.1007/jhep12(2017)079.  https://www.osti.gov/servlets/purl/1512405.

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@article{osti_1512405,

  title        = {Relativistic hydrodynamic attractors with broken symmetries: non-conformal and non-homogeneous},

  author       = {Romatschke, Paul},

  abstractNote = {Standard textbooks will state that hydrodynamics requires near-equilibrium to be applicable. Recently, however, out-of-equilibrium attractor solutions for hydrodynamics have been found in kinetic theory and holography in systems with a high degree of symmetry, suggesting the possibility of a genuine out-of-equilibrium formulation of hydrodynamics. This work demonstrates that attractor solutions also occur in non-conformal kinetic theory and spatially non-homogeneous systems, potentially having important implications for the interpretation of experimental data in heavy-ion and proton-proton collisions and relativistic fluid dynamics as a whole.},

  doi          = {10.1007/jhep12(2017)079},

  journal      = {Journal of High Energy Physics (Online)},

  number       = 12,

  volume       = 2017,

  place        = {United States},

  year         = {Thu Dec 14 00:00:00 EST 2017},

  month        = {Thu Dec 14 00:00:00 EST 2017}

}

Copy to clipboard

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https://doi.org/10.1007/jhep12(2017)079

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Figures / Tables:

Figure 1: Scaling variables A₁, A₂ for non-conformal kinetic theory in Bjorken flow with Λ₀ = 1, $\tau$_R = 0.1/T as a function of inverse gradient strength Γ. Note that for A₂, scaling the gradient strength with the sound attenuation length implies that the Navier-Stokes result corresponds to an areamore »

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Works referenced in this record:

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Figures / Tables found in this record:

Figure 1 (p. 5)

Figure 2 (p. 7)

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Title: Relativistic hydrodynamic attractors with broken symmetries: non-conformal and non-homogeneous

Abstract

Citation Formats

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Importance of the Bulk Viscosity of QCD in Ultrarelativistic Heavy-Ion Collisions journal, September 2015

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

A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems journal, May 1954

Hydrodynamics Beyond the Gradient Expansion: Resurgence and Resummation journal, August 2015

Multiplicity scaling in ideal and viscous hydrodynamics journal, August 2008

Constructing higher-order hydrodynamics: The third order journal, March 2016

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Multiplicity scaling in ideal and viscous hydrodynamics text, January 2008

New Developments in Relativistic Viscous Hydrodynamics text, January 2009

Hydrodynamic gradient expansion in gauge theory plasmas text, January 2013

A fully dynamical simulation of central nuclear collisions text, January 2013

The importance of the bulk viscosity of QCD in ultrarelativistic heavy-ion collisions text, January 2015

Small systems and regulator dependence in relativistic hydrodynamics text, January 2016

Do nuclear collisions create a locally equilibrated quark-gluon plasma? text, January 2016

Bulk Viscous Cosmology text, January 1996

QM2017: Status and Key open Questions in Ultra-Relativistic Heavy-Ion Physics journal, November 2017

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Light-heavy-ion collisions: a window into pre-equilibrium QCD dynamics? journal, July 2015

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Analytical attractor and the divergence of the slow-roll expansion in relativistic hydrodynamics text, January 2017

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Testing hydrodynamic descriptions of p+p collisions at $$\sqrt{s}=7$$ s = 7 TeV
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journal, January 1983

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Relativistic (lattice) Boltzmann equation with nonideal equation of state
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Generic instabilities in first-order dissipative relativistic fluid theories
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Relativistic viscous fluid dynamics and non-equilibrium entropy
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New Developments in Relativistic Viscous Hydrodynamics
journal, January 2010

Stability and causality in dissipative relativistic fluids
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Elliptic and Triangular Flow in Event-by-Event $D = 3 + 1$ Viscous Hydrodynamics
journal, January 2011

Gradient expansion for anisotropic hydrodynamics
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Importance of the Bulk Viscosity of QCD in Ultrarelativistic Heavy-Ion Collisions
journal, September 2015

Anisotropic hydrodynamics for rapidly expanding systems
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Dark goo: bulk viscosity as an alternative to dark energy
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Light-heavy-ion collisions: a window into pre-equilibrium QCD dynamics?
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Exact solution of the ( $0 + 1$ )-dimensional Boltzmann equation for a massive gas
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A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems
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Hydrodynamics Beyond the Gradient Expansion: Resurgence and Resummation
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Multiplicity scaling in ideal and viscous hydrodynamics
journal, August 2008

Constructing higher-order hydrodynamics: The third order
journal, March 2016

Simulating elliptic flow with viscous hydrodynamics
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Multiplicity scaling in ideal and viscous hydrodynamics
text, January 2008

New Developments in Relativistic Viscous Hydrodynamics
text, January 2009

Hydrodynamic gradient expansion in gauge theory plasmas
text, January 2013

A fully dynamical simulation of central nuclear collisions
text, January 2013

The importance of the bulk viscosity of QCD in ultrarelativistic heavy-ion collisions
text, January 2015

Small systems and regulator dependence in relativistic hydrodynamics
text, January 2016

Do nuclear collisions create a locally equilibrated quark-gluon plasma?
text, January 2016

Bulk Viscous Cosmology
text, January 1996

QM2017: Status and Key open Questions in Ultra-Relativistic Heavy-Ion Physics
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Small systems and regulator dependence in relativistic hydrodynamics
journal, October 2016

Light-heavy-ion collisions: a window into pre-equilibrium QCD dynamics?
journal, July 2015

Do nuclear collisions create a locally equilibrated quark–gluon plasma?
journal, January 2017

Relativistic viscous hydrodynamics, conformal invariance, and holography
text, January 2007

A fully dynamical simulation of central nuclear collisions
text, January 2013

Large scale structure from viscous dark matter
text, January 2015

Holographic Bjorken flow at large-D
journal, January 2019

Relativistic Fluid Dynamics in and out of Equilibrium
book, January 2019

Anisotropic hydrodynamics with a scalar collisional kernel
journal, April 2018

Early- and Late-Time Behavior of Attractors in Heavy-Ion Collisions
journal, March 2020

Azimuthal anisotropies at high momentum from purely non-hydrodynamic transport
journal, August 2018

Hydrodynamization in kinetic theory: Transient modes and the gradient expansion
text, January 2016

Analytical attractor and the divergence of the slow-roll expansion in relativistic hydrodynamics
text, January 2017

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

Resurgence and Hydrodynamic Attractors in Gauss-Bonnet Holography
text, January 2017

Azimuthal Anisotropies at High Momentum from Purely Non-Hydrodynamic Transport
text, January 2018

Hydrodynamic attractor and the fate of perturbative expansions in Gubser flow
text, January 2018

The non-equilibrium attractor for kinetic theory in relaxation time approximation
text, January 2018

Exact solutions and attractors of higher-order viscous fluid dynamics for Bjorken flow
text, January 2019

Universal behaviour, transients and attractors in supersymmetric Yang–Mills plasma
journal, September 2018

Equilibrium thermodynamic susceptibilities for a dense degenerate Dirac field
journal, November 2019

Lepton-rich cold QCD matter in protoneutron stars
text, January 2017

Fluctuations in cool quark matter and the phase diagram of Quantum Chromodynamics
text, January 2018

Cold quark matter with heavy quarks and the stability of charm stars
text, January 2019

Hydrodynamics from free-streaming to thermalization and back again
text, January 2019

Phenomenological implications of asymmetric $AdS_5$ shockwave collision studies for heavy ion physics
text, January 2020

Hydrodynamic attractors for Gubser flow
text, January 2020

Hydrodynamic attractors in phase space
text, January 2020

Spatial integrals in non-standard dimensions via Gaussian measure and analytic continuation
preprint, January 2020

Anisotropic fluid dynamical simulations of heavy-ion collisions
text, January 2021