Magnetic field-induced squeezing effect at RHIC and at the LHC

Abstract

In off-central heavy-ion collisions, the quark-gluon plasma (QGP) is exposed to the strongest magnetic fields ever created in the universe. Due to the paramagnetic nature of the QGP at high temperatures, the spatially inhomogeneous magnetic field configuration exerts an anisotropic force density that competes with the pressure gradients resulting from purely geometric effects. In this paper, we simulate (3+1)-dimensional ideal hydrodynamics with external magnetic fields to estimate the effect of this force density on the anisotropic expansion of the QGP in collisions at RHIC and at the LHC. While negligible for quickly decaying magnetic fields, we find that long-lived fields generate a substantial force density that suppresses the momentum anisotropy of the plasma by up to $20\%$ at the LHC energy, and also leaves its imprint on the elliptic flow $v_2$ of charged pions.

arXiv comment9 pages, 9 figures

References in corpus (36)

• The Chiral Magnetic Effect
• 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
• Full result for the QCD equation of state with 2+1 flavors
• Viscosity Information from Relativistic Nuclear Collisions: How Perfect is the Fluid Observed at RHIC?
• Event-by-event generation of electromagnetic fields in heavy-ion collisions
• 3+1D hydrodynamic simulation of relativistic heavy-ion collisions
• Electromagnetic field evolution in relativistic heavy-ion collisions
• Event-by-event fluctuations of magnetic and electric fields in heavy ion collisions
• Suppression of elliptic flow in a minimally viscous quark-gluon plasma
• Comments About the Electromagnetic Field in Heavy-Ion Collisions
• Magnetohydrodynamics, charged currents and directed flow in heavy ion collisions
• The QCD equation of state in background magnetic fields
• Time and space dependence of electromagnetic field in relativistic heavy-ion collisions
• Effects of initial flow velocity fluctuation in event-by-event (3+1)D hydrodynamics
• The electrical conductivity and soft photon emissivity of the QCD plasma
• Magnetic field-induced gluonic (inverse) catalysis and pressure (an)isotropy in QCD
• Synchrotron radiation by fast fermions in heavy-ion collisions
• Analytic Bjorken flow in one-dimensional relativistic magnetohydrodynamics
• QCD equation of state at nonzero magnetic fields in the Hadron Resonance Gas model
• 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
• Electromagnetic radiation by quark-gluon plasma in magnetic field
• Paramagnetic squeezing of QCD matter
• QED effective action at finite temperature and density
• Magnetic susceptibility and equation of state of N_f = 2+1 QCD with physical quark masses
• On viscous flow and azimuthal anisotropy of quark-gluon plasma in strong magnetic field
• Electromagnetic response of quark-gluon plasma in heavy-ion collisions
• Analytical and numerical Gubser solutions of the second-order hydrodynamics
• Quark-gluon plasma in an external magnetic field
• Event-by-event distribution of magnetic field energy over initial fluid energy density in $\sqrt{s_{\mathrm{NN}}}$= 200 GeV Au-Au collisions
• Magnetic Susceptibility of Strongly Interacting Matter across the Deconfinement Transition
• Transverse flow induced by inhomogeneous magnetic fields in the Bjorken expansion
• Enhancement of flow anisotropies due to magnetic field in relativistic heavy-ion collisions
• The spatial distributions of chiral magnetic field in the RHIC and LHC energy regions
• Relativistic magnetohydrodynamics in one dimension

Cited by in corpus (33)

• Numerical magneto-hydrodynamics for relativistic nuclear collisions
• Momentum transport in strongly coupled anisotropic plasmas in the presence of strong magnetic fields
• Relativistic hydrodynamics in heavy-ion collisions: general aspects and recent developments
• Magnetic fields in heavy ion collisions: flow and charge transport
• Effects of magnetic field on the plasma evolution in relativistic heavy-ion collisions
• Effect of intense magnetic fields on reduced-MHD evolution in $\sqrt{s_{\mathrm{NN}}}$ = 200 GeV Au+Au collisions
• Hot QCD Phase Diagram From Holographic Einstein-Maxwell-Dilaton Models
• Covariant and 3+1 Equations for Dynamo-Chiral General Relativistic Magnetohydrodynamics
• One particle distribution function and shear viscosity in magnetic field: a relaxation time approach
• Probing the initial longitudinal density profile and electromagnetic field in ultrarelativistic heavy-ion collisions with heavy quarks
• Calculation of anisotropic transport coefficients for an ultrarelativistic Boltzmann gas in a magnetic field within a kinetic approach
• Correlations far from equilibrium in charged strongly coupled fluids subjected to a strong magnetic field
• Evolution of magnetic fields from the 3+1 dimensional self-similar and Gubser flows in ideal relativistic magnetohydrodynamics
• Thermomagnetic properties and Bjorken expansion of hot QCD matter in a strong magnetic field
• Directed flow of charged particles within idealized viscous hydrodynamics at energies available at the BNL Relativistic Heavy Ion Collider and at the CERN Large Hadron Collider
• Directed flow in relativistic resistive magneto-hydrodynamic expansion for symmetric and asymmetric collision systems
• Medium effects on the electrical conductivity of a hot pion gas
• Thermal QCD in a non-uniform magnetic background
• Holography of the QGP Reynolds Number
• Entropy production far from equilibrium in a chiral charged plasma in the presence of external electromagnetic fields
• Non-relativistic approximate numerical ideal-magneto hydrodynamics of (1+1) D transverse flow in Bjorken scenario
• Vortex-like solutions and internal structures of covariant ideal magnetohydrodynamics
• Pion Pressure in a Magnetic Field
• Thermomagnetic Properties of QCD
• Non-extensive (3+1)-dimensional hydrodynamics for relativistic heavy-ion collisions
• Transverse expansion of hot magnetized Bjorken flow in heavy ion collisions
• External magnetic field induced paramagnetic squeezing effect in heavy-ion collisions at the LHC
• Field Theories Without a Holographic Dual
• Accelerating longitudinal expansion of resistive relativistic-magneto-hydrodynamics in heavy ion collisions
• Initial fluctuations and power spectrum of flow anisotropies in relativistic heavy-ion collisions
• On The Existence of a Holographic Description of the LHC Quark-Gluon Plasmas
• Order-by-order Anisotropic Transport Coefficients of a Magnetised Fluid: a Chapman-Enskog Approach
• ${\eta }_Q$ meson photoproduction in ultrarelativistic heavy ion collisions