The generation of magnetic fluctuations by turbulent flow of conducting fluid with a zero mean magnetic field for small magnetic Prandtl numbers is studied. The equation for the high-order correlation functions of the magnetic field is derived. It is shown that the growth rates of the higher moments of the magnetic field are larger than those of the lower moments, i.e., the spatial distribution of the magnetic field is intermittent. The problem of anomalous scaling of magnetic fluctuations is discussed as well. The turbulent fluid velocity field is assumed to be homogeneous and isotropic with a power-law energy spectrum (proportional to [Formula Presented] and with a very short scale-dependent correlation time. It is found that magnetic fluctuations can be generated when the exponent [Formula Presented] In addition, the effect of compressibility (i.e., [Formula Presented] of the low-Mach-number turbulent fluid flow [Formula Presented] is studied. It is shown that the threshold for the generation of magnetic fluctuations by turbulent fluid flow with [Formula Presented] is higher than that for incompressible fluid. This implies that the compressibility impairs the generation of magnetic fluctuations.
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Statistics and Probability
- Condensed Matter Physics