@MISC{96small-scale-fielddynamo, author = {}, title = {SMALL-SCALE-FIELD DYNAMO}, year = {1996} }
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Abstract
Abstract. 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. 91.25.C. 1 Solar and galactic magnetic fields are generated by turbulent motions of their electrically conducting quasifluid constituents. Generation of large-scale or mean magnetic fields is described by the kinematic dynamo theory of Steenbeck, Krause and Radler [1]. Small-scale magnetic fields can come from the large-scale fields because of turbulent stretching and twisting and play an important role in saturation of the dynamo generated mean fields [2-4]. It was noted long ago [5-7] that small-scale fields (SSF) can also be generated in the absence of mean fields. For example, mirror-symmetric turbulence is incapable of the mean field dynamo, but