Random Flow Effects on Surface Waves

Computer Science

Scientific paper

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Scientific paper

Studying the properties of surface waves is probably the simplest wave tool for diagnosing a medium. Surface waves are observed e.g. as the fundamental global oscillations (called the f-mode), and have also been detected at the boundaries of various solar structures (e.g. sunspot filaments, coronal loops, coronal funnels, solar wind tubes, etc.). SOHO and TRACE have demonstrated that the solar atmosphere and its magnetic structures are highly inhomogeneous at almost all spatial and time scales. The question naturally arises: does the random nature of the medium influence the propagation characteristics of the surface modes? Murawski &Roberts (1993) investigated the effect of a random velocity field on the dispersion relation for fmodes propagating on the solar surface. Here we follow their general approach, which is a valuable one, but correct errors which appeared in that paper. We still find, as they did, that the simple model used gives a deviation of the f-modes from the theoretically predicted parabolic ridges which agrees qualitatively with observations. We find that turbulent background flows can reduce the eigenfrequencies of global solar f-modes by several per cent as found in observations at high spherical degree.

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