Kinematic magnetic dynamo in a random flow with strong average shear
We analyze the kinematic dynamo in a conducting fluid where the stationary shear flow is accompanied by relatively weak random velocity fluctuations. The diffusionless and diffusion regimes are described. The growth rates of the magnetic field moments are related to the statistical characteristics of the flow describing the divergence of Lagrangian trajectories. A degree of anisotropy of the magnetic field is estimated. We demonstrate that Zeldovich’s ‘antidynamo theorem’ is wrong.