No-z approximation in dynamo theory with random coefficients in the presence of vertical helicity fluxes

Generation of magnetic fields in various cosmic objects is described using the dynamo mechanism. In the case of galaxies, one of the most effective models is the no-z approximation created for thin disks. It characterizes the field evolution by means of averaged values of parameters related to kinematic characteristics of the interstellar medium. Meanwhile, in the case of a number of active processes, it is necessary to consider significant fluctuations of these parameters, as well as vertical fluxes of the medium. In the present paper, the equations for dynamo in a thin disk with random coefficients are considered and various random perturbations of both astronomical and mathematical interest are investigated. The presence of intermittency is shown, where the higher moments grow faster than the lower ones. It is important to say that we used large random samples that are much larger than ones in previous works.