We discuss asymptotic solutions of nonlinear steady-state equations of the fluctuation dynamo, i.e. equations describing generation of a random magnetic field in a random mirror symmetric flow of conducting fluid. The flow is assumed to be locally homogeneous and isotropic and the correlation scale l is considered to be small in comparison to the size of the region occupied by the flow, L. These presumptions admit a closed nonlinear equation for the mean energy density of the magnetic field whose solutions are considered here for l/L ≪ 1.
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Belyanin et al. (1993) studied this question.
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