A theory for small-scale magnetic fields

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Dynamo Theory, Field Theory (Physics), Magnetic Fields, Magnetohydrodynamic Turbulence, Astrophysics, Kolmogoroff Theory, Mathematical Models, Plasma Turbulence, Solar Magnetic Field

Scientific paper

Using a Lagrange approach to the theory of turbulence, an equation is obtained for the correlation tensor of a magnetic field in a highly conductive turbulent fluid. The equation is analyzed for all known types of turbulence. It is shown that an exponential growth of magnetic flucturations (magnetic dynamo) occurs in Kolmogoroff turbulence given large magnetic Reynolds numbers. The correlation between kinematic viscosity and the coefficient of diffusion for the magnetic field is not found to be significant for the given problem. An analysis is carried out showing that a field is also generated in low-mode turbulence.

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