Numerical magneto-hydrodynamics for relativistic nuclear collisions
arXiv:1609.03042 · doi:10.1140/epjc/s10052-016-4516-8
Abstract
We present an improved version of the ECHO-QGP numerical code, which self-consistently includes for the first time the effects of electromagnetic fields within the framework of relativistic magnetohydrodynamics (RMHD). We discuss results of its application in relativistic heavy-ion collisions in the limit of infinite electrical conductivity of the plasma. After reviewing the relevant covariant formalisms, we illustrate the implementation of the evolution equations in the code and show the results of several tests aimed at assessing the accuracy and robustness of the implementation. After providing some estimates of the magnetic fields arising in non-central high-energy nuclear collisions, we perform full RMHD simulations of the evolution of the Quark-Gluon Plasma in the presence of electromagnetic fields and discuss the results. In our ideal RMHD setup we find that the magnetic field developing in non-central collisions does not significantly modify the elliptic-flow of the final hadrons. However, since there are uncertainties in the description of the pre-equilibrium phase and also in the properties of the medium, a more extensive survey of the possible initial conditions as well as the inclusion of dissipative effects are indeed necessary to validate this preliminary result.
19 pages, 14 figures, vers. 3: final version, with minor changes in the text (introduction and conclusions)
References in corpus (7)
- The Chiral Magnetic Effect
- Viscosity Information from Relativistic Nuclear Collisions: How Perfect is the Fluid Observed at RHIC?
- Chiral Magnetic Wave
- ECHO: an Eulerian Conservative High Order scheme for general relativistic magnetohydrodynamics and magnetodynamics
- Equation of State in Relativistic Magnetohydrodynamics: variable versus constant adiabatic index
- On the necessity to include event-by-event fluctuations in experimental evaluation of elliptical flow
- Electrical Conductivity of an Anisotropic Quark Gluon Plasma : A Quasiparticle Approach
Cited by in corpus (22)
- Chiral magnetic effect reveals the topology of gauge fields in heavy-ion collisions
- Electrical Conductivity of Quark-Gluon Plasma in Strong Magnetic Fields
- Bulk Viscosity of Quark-Gluon Plasma in Strong Magnetic Fields
- Effect of intense magnetic fields on reduced-MHD evolution in = 200 GeV Au+Au collisions
- Anisotropic pressure of deconfined QCD matter in presence of strong magnetic field within one-loop approximation
- Electrical conductivity and Hall conductivity of hot and dense hadron gas in a magnetic field: a relaxation time approach
- Relativistic non-resistive viscous magnetohydrodynamics from the kinetic theory:a relaxation time approach
- Anomalous magnetohydrodynamics with longitudinal boost invariance and chiral magnetic effect
- Magneto-Seebeck coefficient and Nernst coefficient of hot and dense hadron gas
- Charge-dependent flow as evidence of strong electromagnetic fields in heavy-ion collisions
- Electrical conductivity of a hot and dense QGP medium in a magnetic field
- Boost invariant formulation of the chiral kinetic theory
- Space-average electromagnetic fields and EM anomaly weighted by energy density in heavy-ion collisions
- General structure of the neutral meson self-energy and its spectral properties in a hot and dense magnetized medium
- Effect of an electromagnetic field on the spectra and elliptic flow of particles
- Recent developments in chiral and spin polarization effects in heavy-ion collisions
- Generalization of Bantilan-Ishi-Romatschke flow to Magnetohydrodynamics
- Relativistic second order dissipative hydrodynamics from effective fugacity quasi particle model
- Continuous evolution of electromagnetic field in heavy-ion collisions
- Jet Quenching in The Most Vortical Fluid: A Holographic Approach
- Lepton pair production in ultra-peripheral collisions
- Thermoelectric transport coefficients of quark matter