Calculation of anisotropic transport coefficients for an ultrarelativistic Boltzmann gas in a magnetic field within a kinetic approach

Abstract

According to the Kubo formulas we employ the (3+1)-d parton cascade, Boltzmann approach of multiparton scatterings (BAMPS), to calculate the anisotropic transport coefficients (shear viscosity and electric conductivity) for an ultrarelativistic Boltzmann gas in the presence of a magnetic field. The results are compared with those recently obtained by using the Grad's approximation. We find good agreements between both results, which confirms the general use of the derived Kubo formulas for calculating the anisotropic transport coefficients of quark-gluon plasma in a magnetic field.

arXiv comment10 pages, 8 figures

References in corpus (64)

• Experimental and Theoretical Challenges in the Search for the Quark Gluon Plasma: The STAR Collaboration's Critical Assessment of the Evidence from RHIC Collisions
• Formation of dense partonic matter in relativistic nucleus-nucleus collisions at RHIC: Experimental evaluation by the PHENIX collaboration
• Quark Gluon Plasma an Color Glass Condensate at RHIC? The perspective from the BRAHMS experiment
• The PHOBOS Perspective on Discoveries at RHIC
• The effects of topological charge change in heavy ion collisions: "Event by event P and CP violation"
• Estimate of the magnetic field strength in heavy-ion collisions
• New Forms of QCD Matter Discovered at RHIC
• Viscosity Information from Relativistic Nuclear Collisions: How Perfect is the Fluid Observed at RHIC?
• Elliptic flow of charged particles in Pb-Pb collisions at 2.76 TeV
• Conformal Relativistic Viscous Hydrodynamics: Applications to RHIC results at sqrt(s_NN) = 200 GeV
• Elliptic and triangular flow in event-by-event (3+1)D viscous hydrodynamics
• Event-by-event generation of electromagnetic fields in heavy-ion collisions
• Chiral Magnetic and Vortical Effects in High-Energy Nuclear Collisions --- A Status Report
• Hydrodynamic Modeling of Heavy-Ion Collisions
• Elliptic Flow of Identified Hadrons in Au+Au Collisions at sqrt(s_NN) = 200 GeV
• Elliptic flow in Au+Au collisions at sqrt(s_NN) = 130 GeV
• Derivation of transient relativistic fluid dynamics from the Boltzmann equation
• Particle-type dependence of azimuthal anisotropy and nuclear modification of particle production in Au+Au collisions at s(NN)**(1/2) = 200-GeV
• Event-by-event fluctuations of magnetic and electric fields in heavy ion collisions
• Thermalization of gluons in ultrarelativistic heavy ion collisions by including three-body interactions in a parton cascade
• Suppression of elliptic flow in a minimally viscous quark-gluon plasma
• System Size, Energy, Pseudorapidity, and Centrality Dependence of Elliptic Flow
• Magnetohydrodynamics, charged currents and directed flow in heavy ion collisions
• Higher flow harmonics from (3+1)D event-by-event viscous hydrodynamics
• Multiplicity scaling in ideal and viscous hydrodynamics
• Time and space dependence of electromagnetic field in relativistic heavy-ion collisions
• Numerical magneto-hydrodynamics for relativistic nuclear collisions
• Perturbative QCD Calculations of Elliptic Flow and Shear Viscosity in Au+Au Collisions at $\sqrt{s_{NN}}=200$ GeV
• Influence of a temperature-dependent shear viscosity on the azimuthal asymmetries of transverse momentum spectra in ultrarelativistic heavy-ion collisions
• Particle spectra in Pb-Pb collisions at 2.76 TeV
• Anisotropic Hydrodynamics, Bulk Viscosities and R-Modes of Strange Quark Stars with Strong Magnetic Fields
• Relativistic magnetohydrodynamics
• Shear Viscosity in a Gluon Gas
• Analytic Bjorken flow in one-dimensional relativistic magnetohydrodynamics
• Momentum transport in strongly coupled anisotropic plasmas in the presence of strong magnetic fields
• Kubo formulas for relativistic fluids in strong magnetic fields
• Transport rates and momentum isotropization of gluon matter in ultrarelativistic heavy-ion collisions
• Energy dependence of elliptic flow over a large pseudorapidity range in Au+Au collisions at RHIC
• Origins of Bulk Viscosity at RHIC
• Anisotropic shear viscosity of a strongly coupled non-Abelian plasma from magnetic branes
• Electric conductivity of the quark-gluon plasma investigated using a perturbative QCD based parton cascade
• Temperature dependence of shear viscosity of $SU(3)$--gluodynamics within lattice simulation
• Bjorken flow in one-dimensional relativistic magnetohydrodynamics with magnetization
• Systematic Studies of Elliptic Flow Measurements in Au+Au Collisions at sqrt(s_NN) = 200 GeV
• Non-resistive dissipative magnetohydrodynamics from the Boltzmann equation in the 14-moment approximation
• Resistive dissipative magnetohydrodynamics from the Boltzmann-Vlasov equation
• Electromagnetic field and the chiral magnetic effect in the quark-gluon plasma
• The viscosity of quark-gluon plasma at RHIC and the LHC
• The Fluctuation Theorem and Green-Kubo Relations
• Bulk Viscosity of Quark-Gluon Plasma in Strong Magnetic Fields
• Calculation of shear viscosity using Green-Kubo relations within a parton cascade
• Electromagnetic response of quark-gluon plasma in heavy-ion collisions
• Effects of magnetic field on the plasma evolution in relativistic heavy-ion collisions
• Elliptic flow and nuclear modification factor in ultra-relativistic heavy-ion collisions within a partonic transport model
• The QGP shear viscosity -- elusive goal or just around the corner?
• Transverse flow induced by inhomogeneous magnetic fields in the Bjorken expansion
• Temperature dependence of bulk viscosity within lattice simulation of $SU(3)$--gluodynamics
• Magnetic field-induced squeezing effect at RHIC and at the LHC
• Comparison of results from a 2+1D relativistic viscous hydrodynamic model to elliptic and hexadecapole flow of charged hadrons measured in Au-Au collisions at $\sqrt{s_{\mathrm{NN}}}$ = 200 GeV
• One particle distribution function and shear viscosity in magnetic field: a relaxation time approach
• Magnetic field in expanding quark-gluon plasma
• Magnetic field influence on the early time dynamics of heavy-ion collisions
• Non-relativistic approximate numerical ideal-magneto hydrodynamics of (1+1) D transverse flow in Bjorken scenario
• Shear viscosity of ultrarelativistic Boson systems in the presence of a Bose-Einstein condensate

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