Damping of Standing Alfvén Waves

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Mhd Waves Wave Damping

Scientific paper

A new damping mechanism of standing Alfven waves is proposed. The mechanism is based on the instability of periodic shearing motion near the velocity nodes of Alfven waves. The slow magnetosonic waves are found to be ampli ed due to the instability when the system tries to smooth out the ow inhomogeneity. The amplitudes of spatial Fourier harmonics of the slow magnetosonic waves are governed by Mathieu's equation, therefore those harmonics with half the frequency of Alfven waves have an exponential growth. As a result, the standing Alfven waves can be rapidly damped, resonantly transforming the energy into many harmonics of slow magnetosonic waves. The mechanism can be of importance for the damping of standing Alfven waves in the solar atmosphere and other astrophysical situations.

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