Coronal loops and the minimum flux corona theory

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Coronal Loops, Plasma Heating, Scaling Laws, Stellar Coronas, Differential Equations, Energy Transfer, Stellar Models

Scientific paper

The minimum flux corona theory is applied to the models of coronal loops used by Rosner et al. (1978) and Craig et al. (1978). For a coronal loop of constant cross section and small height compared with the coronal pressure scale height, the minimum flux theory, which assumes that the possible equilibrium states of the corona correspond to the minimum in the amount of energy lost by the corona as a function of temperature, provides scaling laws for the temperature and the energy loss as a function of loop density, or pressure, and length which are identical to those of Rosner et al. and Craig et al. except for a difference in the numerical constant. Temperatures predicted by the minimum flux corona theory are also found to be about a factor of two lower than those of Rosner et al. and Craig et al., which is explained by the weighting of minimum flux average temperatures by energy loss. It is concluded that the minimum flux corona theory applied to coronal loops is as valid as the scaling laws of Rosner et al. and Craig et al.

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