Production of a Chiral Magnetic Anomaly with Emerging Turbulence and Mean-Field Dynamo Action

In relativistic magnetized plasmas, asymmetry in the number densities of left- and right-handed fermions, i.e., a nonzero chiral chemical potential μ₅, leads to an electric current along the magnetic field. This causes a chiral dynamo instability for a uniform μ₅, but our simulations reveal a dynamo even for fluctuating μ₅ with zero mean. It produces magnetically dominated turbulence and generates mean magnetic fields via the magnetic α effect. Eventually, a universal scale-invariant k^-1 spectrum of μ₅ and a k^-3 magnetic spectrum are formed independently of the initial condition.