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 μ_{5}, leads to an electric current along the magnetic field. This causes a chiral dynamo instability for a uniform μ_{5}, but our simulations reveal a dynamo even for fluctuating μ_{5} 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 μ_{5} and a k^{-3} magnetic spectrum are formed independently of the initial condition.