Magnetic Footpoint Motions and Superdiffusion

Physics

Scientific paper

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7529 Photosphere

Scientific paper

In order to study the properties of the velocities of magnetic foot points in the photosphere, we analyzed the dynamics of magnetic G-band bright points (MBP's) from data obtained at the Swedish Vacuum Solar Telescope. Almost universally, random walks and diffusion are studied by looking at the square of the displacement of an average fluid element in a given time. For normal diffusion the scaling exponent that describes the relation of the mean squared displacement to the time has a value of 1. However this approach is inadequate for the study of the observed motions, since the magnetic features are stopped in their motion at ``traps'' in the intergranular lanes. Additionally we only have access to a limited amount of data. A more reliable characterization of the fluid motions is obtained from low statistical moments, such as the square root, or lower, of the displacements. In this case the scaling exponent is 1.4. The motions are therefore superdiffusive: faster than normal but slower than purely fluid turbulence. This not only reveals turbulent dynamics between convection cells on the Sun, but also gives quantitative information on the coupling of magnetic fields to the solar flows. In turn these superdiffusive motions can be used to drive the footpoints of magnetic flux tubes in a model of chromospheric heating. This is a more realistic approach than using Gaussian noise to approximate the turbulence component to the velocity field.

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