Anomalous magnetohydrodynamics with longitudinal boost invariance and chiral magnetic effect

Abstract

We study relativistic magnetohydrodynamics with longitudinal boost invariance in the presence of chiral magnetic effects and finite electric conductivity. With initial magnetic fields parallel or anti-parallel to electric fields, we derive the analytic solutions of electromagnetic fields and the chiral number and energy density in an expansion of several parameters determined by initial conditions. The numerical solutions show that such analytic solutions work well in weak fields or large chiral fluctuations. We also discuss the properties of electromagnetic fields in the laboratory frame.

27 pages, 5 figures

References in corpus (18)

• The Chiral Magnetic Effect
• Viscosity Information from Relativistic Nuclear Collisions: How Perfect is the Fluid Observed at RHIC?
• Berry Curvature, Triangle Anomalies, and the Chiral Magnetic Effect in Fermi Liquids
• Suppression of elliptic flow in a minimally viscous quark-gluon plasma
• Spectral functions at small energies and the electrical conductivity in hot, quenched lattice QCD
• Multiplicity scaling in ideal and viscous hydrodynamics
• Chiral anomaly and local polarization effect from quantum kinetic approach
• Lorentz Invariance in Chiral Kinetic Theory
• Numerical magneto-hydrodynamics for relativistic nuclear collisions
• Observation of charge-dependent azimuthal correlations in pPb collisions and its implication for the search for the chiral magnetic effect
• Non-equilibrium study of the Chiral Magnetic Effect from real-time simulations with dynamical fermions
• Effect of intense magnetic fields on reduced-MHD evolution in $\sqrt{s_{\mathrm{NN}}}$ = 200 GeV Au+Au collisions
• Chiral electric separation effect in the quark-gluon plasma
• Chiral Hall Effect and Chiral Electric Waves
• Dyonic AdS black holes from magnetohydrodynamics
• 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
• Boost invariant formulation of the chiral kinetic theory
• Approach to Chandrasekhar-Kendall-Woltjer State in a Chiral Plasma

Cited by in corpus (7)

• New developments in relativistic magnetohydrodynamics
• Relativistic non-resistive viscous magnetohydrodynamics from the kinetic theory:a relaxation time approach
• Energy dependence of the chiral magnetic effect in expanding holographic plasma
• Complications in the interpretation of the charge asymmetry dependent $\pi$ flow for the chiral magnetic wave
• Recent developments in chiral and spin polarization effects in heavy-ion collisions
• Generalization of Bantilan-Ishi-Romatschke flow to Magnetohydrodynamics
• Lepton pair production in ultra-peripheral collisions