The temperature-density structure of coronal loops in hydrostatic equilibrium

Computer Science – Numerical Analysis

Scientific paper

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Coronal Loops, Density Distribution, Equilibrium Flow, Hydrostatics, Temperature Profiles, Thermodynamic Equilibrium, Numerical Analysis, Scaling Laws, Solar Flux, Solar Magnetic Field, Solar Temperature

Scientific paper

Temperature and density structure are calculated for a comprehensive set of coronal loops in hydrostatic and thermal equilibrium. Gravity produces significant deviations from the usual uniform pressure scaling law when the loops are taller than a scale height. For thermally isolated loops, gravity lowers the pressure throughout the loop, which in turn lowers the density significantly and the temperature slightly. For more general loops, where the base conductive flux does not vanish, gravity lowers the summit pressure and thus makes the radiation decrease by more than the heating. A divergence in loop cross section increases the summit temperature typically by a factor of 2, and decreases the density, while an increase in loop height (for constant loop length) changes the temperature very little but can halve the density.

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