Quantum field formalism in the theory of developed turbulence of conducting magnetic fluids

In this paper we study, using renormalization group (RNG) method the statistic properties of a randomly stirred ferrohydrodynamic system with weak magnetization m&oarr; The universality of the RNG enables us to apply it to a wide spectrum of physical problems, including stochastic problems in the mechanics of continuum. It is also shown that in ferrohydrodynamic systems, similar to magnetohydrodynamic ones, a steady-state asymptotic regime exists in which the spectrum of pulsation energy has the Kolmogorov character k^-5/3, where k is a wavenumber. It was also shown that strong non-linear interactions of the velocity field with magnetization generate, in the equation for dynamics of the field of magnetization dissipative terms. Dimensionless “magnetization” Prandtl number w^-1 attains an universal value in the turbulent regime