Transport rates and momentum isotropization of gluon matter in ultrarelativistic heavy-ion collisions

Abstract

To describe momentum isotropization of gluon matter produced in ultrarelativistic heavy-ion collisions, the transport rate of gluon drift and the transport collision rates of elastic ($gg\leftrightarrow gg$) as well as inelastic ($gg\leftrightarrow ggg$) perturbative quantum chromodynamics- (pQCD) scattering processes are introduced and calculated within the kinetic parton cascade Boltzmann approach of multiparton scatterings (BAMPS), which simulates the space-time evolution of partons. We define isotropization as the development of an anisotropic system as it reaches isotropy. The inverse of the introduced total transport rate gives the correct time scale of the momentum isotropization. The contributions of the various scattering processes to the momentum isotropization can be separated into the transport collision rates. In contrast to the transport cross section, the transport collision rate has an indirect but correctly implemented relationship with the collision-angle distribution. Based on the calculated transport collision rates from BAMPS for central Au+Au collisions at Relativistic Heavy Ion Collider energies, we show that pQCD $gg\leftrightarrow ggg$ bremsstrahlung processes isotropize the momentum five times more efficiently than elastic scatterings. The large efficiency of the bremsstrahlung stems mainly from its large momentum deflection. Due to kinematics, $2\to N$ $(N>2)$ production processes allow more particles to become isotropic in momentum space and thus kinetically equilibrate more quickly than their back reactions or elastic scatterings. We also show that the relaxation time in the relaxation time approximation, which is often used, is strongly momentum dependent and thus cannot serve as a global quantity that describes kinetic equilibration.

arXiv comment44 pages, 16 figures, text updated, references added, 1 new figure added; final version published in PRC

References in corpus (27)

• Computing Quark and Gluon Distribution Functions for Very Large Nuclei
• Gluon Distribution Functions for Very Large Nuclei at Small Transverse Momentum
• New Forms of QCD Matter Discovered at RHIC
• Radial and elliptic flow at RHIC: further predictions
• Elliptic Flow of Identified Hadrons in Au+Au Collisions at sqrt(s_NN) = 200 GeV
• Particle-type dependence of azimuthal anisotropy and nuclear modification of particle production in Au+Au collisions at s(NN)**(1/2) = 200-GeV
• Thermalization of gluons in ultrarelativistic heavy ion collisions by including three-body interactions in a parton cascade
• QCD Plasma Instabilities and Bottom-Up Thermalization
• Parton Equilibration in Relativistic Heavy Ion Collisions
• Apparent Thermalization due to Plasma Instabilities in Quark-Gluon Plasma
• Hard-Loop Dynamics of Non-Abelian Plasma Instabilities
• Color filamentation in ultrarelativistic heavy-ion collisions
• Last Call for RHIC Predictions
• QCD Plasma Instabilities and Isotropization
• Antibaryon production in hot and dense nuclear matter
• A model of the effect of collisions on QCD plasma instabilities
• Measurements of transverse energy distributions in Au+Au collisions at $\sqrt{s_{NN}}=200$ GeV
• Parton rescattering and screening in Au+Au collisions at RHIC
• Space-time Structure of Initial Parton Production in Ultrarelativistic Heavy Ion Collisions
• Parton Interaction Rates in the Quark-Gluon Plasma
• Expansion, Thermalization and Entropy Production in High-Energy Nuclear Collisions
• Thermal and chemical equilibration in a gluon plasma
• The Effective Pressure of a Saturated Gluon Plasma
• Kinetic equilibration in heavy ion collisions: The role of elastic processes
• Kinetic equilibration in heavy ion collisions: the role of elastic processes
• The Evolution of Dynamical Screening in the Parton Cacade Model
• Thermalization of gluons at RHIC including gg <-> ggg interactions in a parton cascade

Cited by in corpus (105)

• Heavy-flavour and quarkonium production in the LHC era: from proton-proton to heavy-ion collisions
• Transport Coefficients of Hadronic Matter near $T_c$
• Open heavy flavor in Pb+Pb collisions at sqrt(s)=2.76 TeV within a transport model
• Perturbative QCD Calculations of Elliptic Flow and Shear Viscosity in Au+Au Collisions at $\sqrt{s_{NN}}=200$ GeV
• Extracting the QGP viscosity from RHIC data -- a status report from viscous hydrodynamics
• Elliptic flow and energy loss of heavy quarks in ultra-relativistic heavy ion collisions
• Relativistic third-order dissipative fluid dynamics from kinetic theory
• Jet quenching and medium response in high-energy heavy-ion collisions: a review
• Second-order (2+1)-dimensional anisotropic hydrodynamics
• Third-order relativistic dissipative hydrodynamics
• Shear Viscosity in a Gluon Gas
• Bottom-up isotropization in classical-statistical lattice gauge theory
• Evolution of transverse flow and effective temperatures in the parton phase from a multi-phase transport model
• Non-boost-invariant anisotropic dynamics
• Simulating plasma instabilities in SU(3) gauge theory
• Relativistic shock waves in viscous gluon matter
• Elliptic flow of gluon matter in ultrarelativistic heavy-ion collisions
• Bulk matter evolution and extraction of jet transport parameter in heavy-ion collisions at RHIC
• Investigation of shock waves in the relativistic Riemann problem: A comparison of viscous fluid dynamics to kinetic theory
• Sonic Mach Cones Induced by Fast Partons in a Perturbative Quark-Gluon Plasma
• Calculation of shear viscosity using Green-Kubo relations within a parton cascade
• Elastic and radiative heavy quark interactions in ultra-relativistic heavy-ion collisions
• Importance of initial and final state effects for azimuthal correlations in p+Pb collisions
• Heavy quark production at RHIC and LHC within a partonic transport model
• Relativistic third-order viscous corrections to the entropy four-current from kinetic theory
• Elliptic flow and nuclear modification factor in ultra-relativistic heavy-ion collisions within a partonic transport model
• Radiative parton processes in perturbative QCD - an improved version of the Gunion and Bertsch cross section from comparisons to the exact result
• Hydro-kinetic approach to relativistic heavy ion collisions
• Shear viscosity and out of equilibrium dynamics
• Thermalization of gluons with Bose-Einstein condensation
• Transition From Ideal To Viscous Mach Cones In A Kinetic Transport Approach
• Energy loss in a partonic transport model including bremsstrahlung processes
• Towards a Unified Understanding of Jet Quenching and Elliptic Flow within Perturbative QCD Parton Transport
• Thermalization of a color glass condensate and review of the "Bottom-Up" scenario
• On non-conformal kinetic theory and hydrodynamics for Bjorken flow
• Longitudinal correlation of the triangular flow event plane in a hybrid approach with hadron and parton cascade initial conditions
• Relativistic Lattice Boltzmann Methods: Theory and Applications
• Suppression of high transverse momenta hadrons in Pb+Pb collisions at LHC
• Pre-hydrodynamic evolution and its signatures in final-state heavy-ion observables
• Elliptic and Triangular Flow and their Correlation in Ultrarelativistic High Multiplicity Proton Proton Collisions at 14 TeV
• Causal Viscous Hydrodynamics for Relativistic Heavy Ion Collisions
• Impact of the initial size of spatial fluctuations on the collective flow in Pb-Pb collisions at $\sqrt{s_{NN}}$ = 2.76 TeV
• Nonequilibrium photon production in partonic transport simulations
• Matching pre-equilibrium dynamics and viscous hydrodynamics
• Transverse momentum diffusion and jet energy loss in non-Abelian plasmas
• Baryon Stopping in Heavy-Ion Collisions at E_{lab}= 2--160 GeV/nucleon
• Calculation of anisotropic transport coefficients for an ultrarelativistic Boltzmann gas in a magnetic field within a kinetic approach
• On the relativistic Lattice Boltzmann method for quark-gluon plasma simulations
• Kinetic evolution of the glasma and thermalization in heavy ion collisions
• Magnetic field influence on the early time dynamics of heavy-ion collisions
• Decoherence and Entropy Production in Relativistic Nuclear Collisions
• Generalisation of Gunion-Bertsch Formula for Soft Gluon Emission
• Towards a unified lattice kinetic scheme for relativistic hydrodynamics
• Heavy quarks at RHIC and LHC within a partonic transport model
• Relaxation-time approximation and relativistic third-order viscous hydrodynamics from kinetic theory
• Entropy production in 2D $\lambda {\varphi }^4$ theory in the Kadanoff-Baym approach
• Dependence of elliptic flow on number of parton degrees of freedom
• Extraction of shear viscosity in stationary states of relativistic particle systems
• Dissipative hydrodynamics of relativistic shock waves in a Quark Gluon Plasma: comparing and benchmarking alternate numerical methods
• p-Pb collisions at 5.02 TeV in the Parton-Hadron-String-Dynamics transport approach
• Boltzmann-Langevin Approach to Pre-equilibrium Correlations in Nuclear Collisions
• Kinetic description of Bose-Einstein condensation with test particle simulations
• Fast kinetic simulator for relativistic matter
• QCD plasma thermalization, collective flow and extraction of shear viscosity
• Momentum imbalance of D mesons in ultra-relativistic heavy-ion collisions at LHC
• Open heavy flavor and J/psi at RHIC and LHC
• Evaluating Results from the Relativistic Heavy Ion Collider with Perturbative QCD and Hydrodynamics
• Shear viscosity of an ultrarelativistic Boltzmann gas with isotropic inelastic scattering processes
• Lattice Boltzmann method for relativistic hydrodynamics: Issues on conservation law of particle number and discontinuities
• Implementing the LPM effect in a parton cascade model
• Shear viscosity of the ${\Phi }^4$ theory from classical simulation
• What are the early degrees of freedom in ultra-relativistic nucleus-nucleus collisions?
• Collective Phenomena in the Non-Equilibrium Quark-Gluon Plasma
• QCD Matter Thermalization at RHIC and LHC
• AMY Lorentz invariant parton cascade -- the thermal equilibrium case
• Jets and flow within a pQCD-based partonic transport model
• Kinetic approach to a relativistic Bose-Einstein condensate
• Parton radiative processes and pressure isotropization in relativistic heavy ion collisions
• A relativistic dissipative hydrodynamic description for systems including particle number changing processes
• Production, elliptic flow and energy loss of heavy quarks in the quark-gluon plasma
• Validation and improvement of the ZPC parton cascade inside a box
• The different energy loss mechanisms of inclusive and b-tagged reconstructed jets within ultra-relativistic heavy-ion collisions
• Dissipative hydrodynamics for multi-component systems
• Recent results from parton cascade and microscopic transport
• Shear viscosity of ultrarelativistic Boson systems in the presence of a Bose-Einstein condensate
• Memory effects in radiative jet energy loss
• Production and elliptic flow of heavy quarks at RHIC and LHC within a partonic transport model
• Dynamical scheme for hadronization with first-order phase transition
• Chemical and kinetic equilibrations via radiative parton transport
• Bjorken flow revisited: analytic and numerical solutions in flat space-time coordinates
• Mach Cones in Viscous Matter
• Review of the "Bottom-Up" scenario
• Heavy vs. light flavor energy loss within a partonic transport model
• Spectral BBGKY: a scalable scheme for nonlinear Boltzmann and correlation kinetics
• Viscous Effects on Elliptic Flow and Shock Waves
• Kinetic equilibration from a radiative transport
• Thermalization through parton transport
• Collectivity in small systems - Initial state vs. final state effects
• Third-order dissipative hydrodynamics from the entropy principle
• Rapidity bin multiplicity correlations from a multi-phase transport model
• Dissipation process of binary mixture gas in thermally relativistic flow
• Open heavy flavor and J/psi at RHIC and LHC within a transport model
• Hadronic vs. partonic J/psi production in the Statistical Hadronization Model
• Collision Rate and Symmetry Factor in Gluon Plasma
• Investigation of jet quenching and elliptic flow within a pQCD-based partonic transport model