Alfvén wave propagation at x-points and shock wave formation in the solar corona

Physics

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Magnetohydrodynamics And Plasmas

Scientific paper

The dynamics of the development of extremely small scales in magnetic fields is crucial to understand the heating and energetic manifestations of the high temperature plasma of the solar corona. Here we illustrate what could be an essential aspect of the cascade of magnetic energy to small scales via numerical simulations of the propagation of (shear) Alfvén waves in a magnetic field with an x-point geometry in 2.5 D. The coupling of the waves with the background field leads to the development of fast-mode shocks whose number depends on the ratio of the Alfvén wave frequency to the intrinsic frequency of the x-point. Though the x-point is essential to shock wave formation, dissipation occurs within the shocks which sweep the whole plasma volume. The shocks might also play an important role in modifying particle acceleration around the x-point.

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