Abstract
In this paper we study, using renormalization group (RNG) method the statistic properties of a randomly stirred ferrohydrodynamic system with weak magnetization m/spl I.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/sup -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/sup -1/ attains an universal value in the turbulent regime.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>
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