An asymptotic analysis of a small-scale dynamo in a mirror-asymmetric random velocity field

We analyse the asymptotic and numerical solution of the Kazantsev equations for large magnetic Reynolds numbers Rm >> 1. For instantaneously correlated random velocity field we obtain the necessary conditions of mirror-asymmetric dynamo processes. We show that simultaneously with longitudinal correlation function, the correlation function for magnetic helicity is also enhanced. We estimate the Rm-threshold for magnetic field generation, the generation rate and their dependencies on helicity parameter. By iterative methods (realised on quasi-uniform grids) we carry out numerical experiments, which confirm the correctness of obtained theoretical asymptotics and estimates.