Abstract

We study anomalous magnetohydrodynamics in a longitudinal boost invariant Bjorken flow with constant anisotropic electric conductivities as outlined in Ref. [I. Siddique, R.-j. Wang, S. Pu, Q. Wang, Anomalous magnetohydrodynamics with longitudinal boost invariance and chiral magnetic effect, Phys. Rev. D 99 (11) (2019) 114029. arXiv:1904.01807, doi:10.1103/PhysRevD.99.114029.]. For simplicity, we consider a neutral fluid and a force-free magnetic field in the transverse direction. We derived analytic solutions of the electromagnetic fields in the laboratory frame, the chiral density, and the energy density as functions of proper time.

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