Small-Scale-Field Dynamo

Generation of magnetic field energy, without mean field generation, is studied. Isotropic mirror-symmetric turbulence of a conducting fluid amplifies the energy of small-scale magnetic perturbations if the magnetic Reynolds number is high, and the dimensionality of space d satisfies $2.103<d<\mathrm{}8.765\mathrm{}$. The result does not depend on the model of turbulence, incompressibility, and isotropy being the only requirements.