QUANTUM-FIELD FORMALISM IN THE THEORY OF DEVELOPED TURBULENCE OF CONDUCTING MAGNETIC FLUIDS

In this paper we study, using renormalization group (RNG) method the s tatistic properties of a randomly stirred ferrohydrodynamic system wit h weak magnetization m. The universality of the RNG enables us to appl y it to a wide spectrum of physical problems, including stochastic pro blems in the mechanics of continuum. It is also shown that in ferrohyd rodynamic systems, similar to magneto hydrodynamic ones, a steady-stat e asymptotic regime exists in which the spectrum of pulsation energy h as the Kolmogorov character k-5/3, where k is a wavenumber. It was als o shown that strong non-linear interactions of the velocity field with magnetization generate, in the equation for dynamics of the field of magnetization dissipative term. Dimensionless ''magnetization'' Prandt l number w-1 attains an universal value in the turbulent regime.