Temperature dependent morphology of untwisted coronal loops

Mathematics

Scientific paper

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Coronal Loops, Magnetohydrodynamics, Mathematical Models, Plasma Pressure, Solar Magnetic Field, Morphology, Soho Mission, Space Plasmas, Temperature Dependence

Scientific paper

The morphology of slender coronal loops with an untwisted magnetic field is investigated. The specific shape of a loop is delineated through application of equations determining the local minor radius and loop curvature along its length. These equations follow from magnetohydrodynamic force balance across the minor radial cross section of the loop. The dependence of the loop shape on the ratio of the internal to ambient pressures at the loop apex and the ratio of the temperature is studied. It is found that loops with an apex pressure lower than that of the ambient plasma exhibit smaller apex radius of curvature with increasing loop temperature, and the opposite applies to loops with plasma pressure at the apex lower than that of the ambient plasma. The possibilities of quantitative comparison with the future SOHO (Solar and Heliospheric Observatory) data are discussed.

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