Small-scale-field Dynamo
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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 <8.765. The result does not depend on the model of turbulence, incompressibility and isotropy being the only requirements.
11 pages Plain TeX, no figures, Accepted by Phys. Rev. Lett
11 pages Plain TeX, no figures, Accepted by Phys. Rev. Lett