Analytical Solutions for Non-uniformly Heated Coronal Loops: Numerical Verification

Details Analytical Solutions for Non-uniformly Heated Coronal Loops: Numerical Verification Analytical Solutions for Non-uniformly Heated Coronal Loops: Numerical Verification

May 2007

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007aas...210.9434m&link_type=abstract

American Astronomical Society Meeting 210, #94.34; Bulletin of the American Astronomical Society, Vol. 39, p.223

Astronomy and Astrophysics

Astronomy

1

Scientific paper

At last year's SPD meeting at UNH I presented purely analytical solutions for the temperature structure and scaling laws in static coronal loops of uniform pressure, for physically motivated heating functions that varied from mostly footpoint heating, via distributed heating, to mostly looptop heating.
We have verified these solutions with an adaptive grid 1D hydrodynamic loop code, and found that for most heating profiles our analytical solutions are in agreement with the numerical ones within a few percent. This result is remarkable since the analytical solutions implied some drastic simplifications for the radiative loss function and the boundary conditions. We also found that when the heating is concentrated too strongly at the footpoints static solutions no longer exist and the loop remains dynamic. This confirms earlier results by Mueller and Karpen.
Our results imply that it is now very easy to construct Differential Emission Measures (DEMs) for loops consisting of a bundle of elementary strands, and compare these DEMS with those of actually observed loops through forward folding. We will apply this method to joint TRACE, Hinode-XRT, and EIS data.

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