Growth of magnetic-field fluctuations in a turbulent flow

The problem of generating fluctuation magnetic fields for a uniform, isotropic and spatially unbounded flow was examined. The random velocity field was assumed to be mirror symmetric and have a short correlation time. A study was made of the evolution of the correlation function of the magnetic field in a wide range of Reynolds numbers, especially for Reynolds numbers less than the critical value. An equation is derived for the correlation function of the magnetic field. The self-excitation of the field at Reynolds numbers above the critical value was modeled along with the behavior of the magnetic energy in the subcritical regime. An unbounded medium with a uniform velocity distribution was the object of study