Non-force Free Coronal Extrapolation Based on the Principle of Minimum Dissipation Rate

Physics

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7509 Corona, 7524 Magnetic Fields, 7529 Photosphere, 7827 Kinetic And Mhd Theory, 7833 Mathematical And Numerical Techniques (0500, 3200)

Scientific paper

The Principle of Minimum (energy) Dissipation Rate (MDR) originates from irreversible thermodynamics. In analogy to the Principle of Minimum Energy, it also follows a variational approach, but is more suitable for a complex and externally driven system like the solar corona. And in contrast, while the former yields a force- free magnetic field, the MDR gives a more general non-force free magnetic field with flow. The solution to the equation describing non-force free magnetic field resulted from MDR can be expressed as a superposition of two linear force-free fields with distinct α parameters, and one potential field (α≡0). Subsequently, the plasma states can also be derived, following standard MHD theory, given necessary boundary conditions. We present recent progress on applying the MDR theory to non-force free extrapolation of solar active region from vector magnetograms as bottom boundary data. We illustrate the approach of complete characterization of 3D magnetic field and plasma states by using numerical simulation data, and discuss its advantages and limitations.

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