Charge-dependent anisotropic flow in high-energy heavy-ion collisions from relativistic resistive magneto-hydrodynamic expansion

Abstract

We have investigated the charge-dependent anisotropic flow in high-energy heavy-ion collisions, using relativistic resistive magneto-hydrodynamics (RRMHD). We consider the optical Glauber model as an initial model of the quark-gluon plasma (QGP) and the solution of the Maxwell equations with source term of the charged particles in two colliding nuclei as initial electromagnetic fields. The RRMHD simulation is performed with these initial conditions in Au-Au and Cu-Au collisions at $\sqrt{s_{\mathrm{NN}}}=200$ GeV. We have calculated the charge-odd contribution to the directed flow $\Delta v_1$ and elliptic flow $\Delta v_2$ in both collisions based on electric charge distributions as a consequence of RRMHD. Our results show that the $\Delta v_1$ and $\Delta v_2$ are approximately proportional to the electrical conductivity ($\sigma$) of the medium. In the $\sigma =0.023{\mathrm{fm}}^{-1}$ case, our result of $\Delta v_1$ is consistent with STAR data in Au-Au collisions. Furthermore, in Cu-Au collisions, $\Delta v_1$ has a non-zero value at $\eta =0$. We conclude that the charge-dependent anisotropic flow is a good probe to extract the electrical conductivity of the QGP medium in high-energy heavy-ion experiments.

10 pages, 9 figures

References in corpus (9)

• The Chiral Magnetic Effect
• The QCD equation of state with dynamical quarks
• Chiral Magnetic Wave
• Spectral functions at small energies and the electrical conductivity in hot, quenched lattice QCD
• Numerical magneto-hydrodynamics for relativistic nuclear collisions
• Directed flow in ultrarelativistic heavy-ion collisions
• System-size independence of directed flow at the Relativistic Heavy-Ion Collider
• Charge diffusion in relativistic resistive second-order dissipative magnetohydrodynamics
• Directed flow in relativistic resistive magneto-hydrodynamic expansion for symmetric and asymmetric collision systems

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• Dense Nuclear Matter Equation of State from Heavy-Ion Collisions
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• Transport Coefficients of relativistic matter: A detailed formalism with a gross knowledge of their magnitude
• Anisotropic linear waves and breakdown of the momentum expansion in spin magnetohydrodynamics
• Possibility of quantum Hall effect in dense quark matter environments: A chiral model approach
• Physics of strong electromagnetic fields in relativistic heavy-ion collisions