Boost-Invariant (2+1)-Dimensional Anisotropic Hydrodynamics

We present results of the application of the anisotropic hydrodynamics (aHydro) framework to (2+1)-dimensional boost-invariant systems. The necessary aHydro dynamical equations are derived by taking moments of the Boltzmann equation using a momentum-space anisotropic one-particle distribution function. We present a derivation of the necessary equations and then proceed to numerical solutions of the resulting partial differential equations using both realistic smooth Glauber initial conditions and fluctuating Monte Carlo Glauber initial conditions. For this purpose we have developed two numerical implementations: one that is based on straightforward integration of the resulting partial differential equations supplemented by a two-dimensional weighted Lax-Friedrichs smoothing in the case of fluctuating initial conditions and another that is based on the application of the Kurganov-Tadmor central scheme. For our final results we compute the collective flow of the matter via the laboratory-frame energy-momentum tensor eccentricity as a function of the assumed shear viscosity-to-entropy ratio, proper time, and impact parameter.

• Publication year

  2012

• Venue

  Physical Review C

• Publication date

  2012-04-06

• Fields of study

  Physics

• Identifiers
  DOI 10.1103/PhysRevC.85.064913arXiv 1204.1473
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

• Strong coupling isotropization of non-abelian plasmas simplified.

  2012cited by this paper
• Fully relativistic lattice Boltzmann algorithm

  2011cited by this paper
• Violation of the holographic viscosity bound in a strongly coupled anisotropic plasma.

  2011cited by this paper
• Highly anisotropic and strongly dissipative hydrodynamics with transverse expansion

  2011cited by this paper
• Influence of shear viscosity of quark-gluon plasma on elliptic flow in ultrarelativistic heavy-ion collisions.

  2011cited by this paper
• Components of the elliptic flow in Pb–Pb collisions at s=2.76 TeV

  2011cited by this paper
• Thermodynamics and instabilities of a strongly coupled anisotropic plasma

  2011cited by this paper
• Anisotropic N=4 super-Yang-Mills plasma and its instabilities.

  2011cited by this paper
• Shock wave collisions in AdS5: approximate numerical solutions

  2011cited by this paper
• Electromagnetic signatures of a strongly coupled anisotropic plasma

  2011cited by this paper
• Anisotropic flow in $\sqrt{s}=2.76$ TeV Pb+Pb collisions at the LHC

  2011cited by this paper
• Relativistic (lattice) Boltzmann equation with nonideal equation of state

  2011cited by this paper
• Thermal bottomonium suppression at RHIC and LHC

  2011cited by this paper
• (3+1)D hydrodynamic simulation of relativistic heavy-ion collisions

  2010cited by this paper
• Highly anisotropic hydrodynamics -- discussion of the model assumptions and forms of the initial conditions

  2010cited by this paper
• Relativistic Heavy Ion Physics

  2010cited by this paper
• The effect of shear and bulk viscosities on elliptic flow

  2010cited by this paper
• Divergence-type 2 + 1 dissipative hydrodynamics applied to heavy-ion collisions

  2010cited by this paper
• Elliptic and triangular flow in event-by-event D=3+1 viscous hydrodynamics.

  2010cited by this paper
• Non-boost-invariant motion of dissipative and highly anisotropic fluid

  2010cited by this paper
• Dissipative Dynamics of Highly Anisotropic Systems

  2010cited by this paper
• Highly anisotropic and strongly dissipative hydrodynamics for early stages of relativistic heavy-ion collisions

  2010cited by this paper
• Dissipative relativistic fluid dynamics: a new way to derive the equations of motion from kinetic theory.

  2010cited by this paper
• Non-boost-invariant anisotropic dynamics

  2010cited by this paper
• Boost invariant flow, black hole formation, and far-from-equilibrium dynamics in N = 4 supersymmetric Yang-Mills theory

  2009cited by this paper
• Black brane entropy and hydrodynamics: The boost-invariant case

  2009cited by this paper
• Constraining relativistic viscous hydrodynamical evolution

  2009cited by this paper
• Extension of relativistic dissipative hydrodynamics to third order

  2009cited by this paper
• Divergence-type nonlinear conformal hydrodynamics

  2009cited by this paper
• Matching pre-equilibrium dynamics and viscous hydrodynamics

  2009cited by this paper
• Extracting the QGP viscosity from RHIC data—a status report from viscous hydrodynamics

  2008cited by this paper
• Conformal relativistic viscous hydrodynamics: Applications to RHIC results at s NN =200 GeV

  2008cited by this paper
• Towards the description of anisotropic plasma at strong coupling

  2008cited by this paper
• Horizon formation and far-from-equilibrium isotropization in a supersymmetric Yang-Mills plasma.

  2008cited by this paper
• Glauber Modeling in High Energy Nuclear Collisions

  2007cited by this paper
• Relativistic viscous hydrodynamics, conformal invariance, and holography

  2007cited by this paper
• Viscosity information from relativistic nuclear collisions: how perfect is the fluid observed at RHIC?

  2007cited by this paper
• Simulating elliptic flow with viscous hydrodynamics

  2007cited by this paper
• Relativistic dynamics of non-ideal fluids: Viscous and heat-conducting fluids. II. Transport properties and microscopic description of relativistic nuclear matter

  2006cited by this paper
• Influence of cultivation temperature on the ligninolytic activity of selected fungal strains

  2006cited by this paper
• Recent results in relativistic heavy ion collisions: from ‘a new state of matter’ to ‘the perfect fluid’

  2006cited by this paper
• Dissipative hydrodynamics and heavy-ion collisions

  2006cited by this paper
• Application of the Kurganov-Levy semi-discrete numerical scheme to hyperbolic problems with nonlinear source terms

  2004cited by this paper
• Collective modes of an anisotropic quark-gluon plasma: II

  2003cited by this paper
• The Effect of Shear Viscosity on Spectra, Elliptic Flow, and HBT Radii

  2003cited by this paper
• Causal theories of dissipative relativistic fluid dynamics for nuclear collisions

  2003cited by this paper
• Collective flow and two-pion correlations from a relativistic hydrodynamic model with early chemical freeze out

  2002cited by this paper
• Radial and elliptic flow at RHIC: Further predictions

  2001cited by this paper
• Second-order dissipative fluid dynamics for ultrarelativistic nuclear collisions.

  2001cited by this paper
• Anisotropic transverse flow and the quark-hadron phase transition

  2000cited by this paper
• New High-Resolution Central Schemes for Nonlinear Conservation Laws and Convection—Diffusion Equations

  2000cited by this paper
• Communications on Pure and Applied Mathematics

  1989cited by this paper
• Quark-Gluon Plasma

  1986cited by this paper
• Relativistic Kinetic Theory: Principles and Applications

  1980cited by this paper
• Transient relativistic thermodynamics and kinetic theory

  1979cited by this paper
• Multiplicity distributions in nucleus-nucleus collisions at high energies

  1976cited by this paper
• Nonstationary irreversible thermodynamics: A Causal relativistic theory

  1976cited by this paper
• Relativistic Grad polynomials

  1974cited by this paper
• Single-particle distribution in the hydrodynamic and statistical thermodynamic models of multiparticle production

  1974cited by this paper
• Towards the ultimate conservative difference scheme. II. Monotonicity and conservation combined in a second-order scheme

  1974cited by this paper
• High-energy scattering of protons by nuclei

  1970cited by this paper
• Weak solutions of nonlinear hyperbolic equations and their numerical computation

  1954cited by this paper
• Symmetric hyperbolic linear differential equations

  1954cited by this paper
• AND T

  year unknowncited by this paper

• Decoupling hydrodynamization from thermalization via nonlinear Boltzmann equation

  2025cites this paper
• CoMBolt-ITA, a Collective Model based on relativistic Boltzmann equation in the Isotropization Time Approximation

  2025cites this paper
• Onset of Bjorken Flow in Quantum Evolution of the Massive Schwinger Model

  2025cites this paper
• Far-from-equilibrium attractors in kinetic theory for a mixture of quark and gluon fluids

  2024cites this paper
• Linear stability of shock waves in ultrarelativistic anisotropic hydrodynamics

  2023cites this paper
• Critical Point from Shock Waves Solution in Relativistic Anisotropic Hydrodynamics

  2023cites this paper
• Fluid dynamics from the Boltzmann equation using a maximum entropy distribution

  2023cites this paper
• Relativistic second-order dissipative and anisotropic fluid dynamics in the relaxation-time approximation for an ideal gas of massive particles

  2023cites this paper
• Far-from-equilibrium attractors for massive kinetic theory in the relaxation time approximation

  2022cites this paper
• Metric anisotropies and nonequilibrium attractor for expanding plasma

  2022cites this paper
• Nonconformal kinetic theory and hydrodynamics for Bjorken flow

  2021cites this paper
• Anisotropic fluid dynamical simulations of heavy-ion collisions

  2021cites this paper
• Resummed Relativistic Dissipative Hydrodynamics

  2021cites this paper
• QTRAJ 1.0: A Lindblad equation solver for heavy-quarkonium dynamics

  2021cites this paper
• Bulk observables at 5.02 TeV using quasiparticle anisotropic hydrodynamics

  2020cites this paper
• Relaxation-time approximation with pair production and annihilation processes

  2020cites this paper
• Pion interferometry at 200 GeV using anisotropic hydrodynamics

  2020cites this paper
• Heavy quarkonium in extreme conditions

  2019cites this paper
• (3+1)-dimensional Dissipative Relativistic Fluid Dynamics at Non-zero Net Baryon Density

  2019cites this paper
• Exact solution for the non-equilibrium attractor in number-conserving relaxation time approximation

  2019cites this paper
• Including off-diagonal anisotropies in anisotropic hydrodynamics

  2019cites this paper
• Non-equilibrium hydrodynamics of the quark-gluon plasma

  2019influential citation
• Exact solutions of the relativistic Boltzmann equation in the relaxation time approximation

  2019cites this paper
• Anisotropic hydrodynamic modeling of heavy-ion collisions at LHC and RHIC

  2018cites this paper
• Prescaling and Far-from-Equilibrium Hydrodynamics in the Quark-Gluon Plasma.

  2018cites this paper
• Anisotropic hydrodynamic modeling of 200 GeV Au-Au collisions

  2018cites this paper
• ( 3+1 )-dimensional anisotropic fluid dynamics with a lattice QCD equation of state

  2018cites this paper
• Parton self-energies for general momentum-space anisotropy

  2018cites this paper
• Anisotropic hydrodynamics with a scalar collisional kernel

  2018cites this paper
• Anisotropic hydrodynamics with number-conserving kernels

  2018cites this paper
• Anisotropic Hydrodynamics for Au-Au Collisions at 200 GeV

  2018cites this paper
• Dilepton production and elliptic flow from an anisotropic quark-gluon plasma

  2018cites this paper
• Chapter 1 Introduction to Hydrodynamics

  2018cites this paper
• Relativistic anisotropic hydrodynamics

  2017cites this paper
• Bottomonium suppression using a lattice QCD vetted potential

  2017cites this paper
• Anisotropic nonequilibrium hydrodynamic attractor

  2017cites this paper
• Coupled kinetic equations for fermions and bosons in the relaxation-time approximation

  2017cites this paper
• New theories of relativistic hydrodynamics in the LHC era

  2017cites this paper
• Fluctuations in ultra-relativistic heavy ion collisions

  2017cites this paper
• Metric anisotropies and emergent anisotropic hydrodynamics

  2017cites this paper
• Far-from-equilibrium attractors and nonlinear dynamical systems approach to the Gubser flow

  2017cites this paper
• Evolution of pressures and correlations in the glasma produced in high energy nuclear collisions

  2017cites this paper
• The static hard-loop gluon propagator to all orders in anisotropy

  2017cites this paper
• Quasiparticle anisotropic hydrodynamics for ultrarelativistic heavy-ion collisions

  2017cites this paper
• Bottomonia suppression in an anisotropic quark-gluon plasma

  2017cites this paper
• Collective flow and hydrodynamics in large and small systems at the LHC

  2017cites this paper
• The static hard-loop gluon propagator to all orders in anisotropy

  2017cites this paper
• Shear viscosity in an anisotropic unitary Fermi gas

  2016cites this paper
• DESCRIBING THE DYNAMICS OF THE QUARK-GLUON PLASMA USING RELATIVISTIC VISCOUS HYDRODYNAMICS

  2016cites this paper
• Initial State Quantum Fluctuations in the Little Bang

  2016cites this paper
• Predictions for bottomonia suppression in 5.023 TeV Pb-Pb collisions

  2016influential citation
• Drag and diffusion of heavy quarks in a hot and anisotropic QCD medium

  2016cites this paper
• Recent progress in anisotropic hydrodynamics

  2016cites this paper
• Initial state and thermalization in the Color Glass Condensate framework

  2015cites this paper
• Heavy-flavour and quarkonium production in the LHC era: from proton–proton to heavy-ion collisions

  2015cites this paper
• Testing different formulations of leading-order anisotropic hydrodynamics

  2015cites this paper
• Heavy ion theory: Review of recent developments with a first principles bias

  2015cites this paper
• Anisotropic hydrodynamics and early stages of heavy-ion collisions

  2015cites this paper
• Complex potential and bottomonium suppression at LHC energy

  2015cites this paper
• Hydrodynamic transport coefficients for the non-conformal quark-gluon plasma from holography

  2015cites this paper
• Exact solutions of the Boltzmann equation and optimized hydrodynamic approaches for relativistic heavy-ion collisions

  2015cites this paper
• Theory @ Hard Probes 2015

  2015cites this paper
• Introduction to Hydrodynamics

  2015cites this paper
• Hydrodynamic transport coefficients for the non-conformal quark-gluon plasma from holography

  2014cites this paper
• Viscous hydrodynamics for strongly anisotropic expansion

  2014cites this paper
• Kinetic evolution of the glasma and thermalization in heavy ion collisions

  2014cites this paper
• Anisotropic Hydrodynamics: Three Lectures

  2014cites this paper
• Exact solution of the (0+1)-dimensional Boltzmann equation for massive Bose-Einstein and Fermi-Dirac gases

  2014cites this paper
• Holographic approach to quark–gluon plasma in heavy ion collisions

  2014cites this paper
• Collective dynamics in relativistic nuclear collisions

  2014cites this paper
• Approach to equilibrium in high energy heavy ion collisions

  2014cites this paper
• Anisotropic hydrodynamics: Motivation and methodology

  2014cites this paper
• Applications of dissipative and anisotropic hydrodynamics in description of early stages of relativistic heavy-ion collisions

  2014cites this paper
• New formulation of leading order anisotropic hydrodynamics

  2014cites this paper
• Simple kinetic-theory tests of dissipative and anisotropic hydrodynamics

  2014cites this paper
• Exact solution of the (0+1)-dimensional Boltzmann equation for a massive gas

  2014cites this paper
• Approche de l'équilibre dans les collisions hadroniques à haute énergie

  2014cites this paper
• Anisotropic hydrodynamics -- basic concepts

  2013cites this paper
• Anisotropic hydrodynamics for ultra-relativistic heavy-ion collisions

  2013cites this paper
• Anisotropic hydrodynamics for rapidly expanding systems

  2013cites this paper
• QUARKONIA IN THE QUARK GLUON PLASMA

  2013cites this paper
• Thermalization and isotropization in heavy-ion collisions

  2013cites this paper
• HYDRODYNAMIC MODELING OF HEAVY-ION COLLISIONS

  2013cites this paper
• Heavy quark diffusion in strongly coupled anisotropic plasmas

  2013cites this paper
• Observables in Strongly Coupled Anisotropic Theories

  2013cites this paper
• Initial state fluctuations and final state correlations in relativistic heavy-ion collisions

  2013cites this paper
• Bottomonia in the Quark Gluon Plasma

  2012cites this paper
• Strongly correlated quantum fluids: ultracold quantum gases, quantum chromodynamic plasmas and holographic duality

  2012cites this paper
• Anisotropic hydrodynamics

  2012cites this paper
• Light Probes in a Strongly Coupled Anisotropic Plasma

  2012cites this paper
• Event-by-Event Observables and Fluctuations

  2012cites this paper