# Anomalous magnetohydrodynamics with longitudinal boost invariance and chiral magnetic effect

## TL;DR

This paper develops analytic and numerical solutions for relativistic magnetohydrodynamics incorporating chiral magnetic effects and electric conductivity under boost-invariant conditions, revealing field behaviors in different regimes.

## Contribution

It provides the first analytic solutions for electromagnetic and chiral densities in this context, enhancing understanding of chiral MHD with finite conductivity.

## Key findings

- Analytic solutions match numerical results in weak fields or large chiral fluctuations.
- Electromagnetic field properties are characterized in the laboratory frame.
- The study extends chiral MHD modeling with explicit initial conditions.

## 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.