An iterative technique for solving equations of statistical equilibrium

Details An iterative technique for solving equations of statistical equilibrium An iterative technique for solving equations of statistical equilibrium

2001-03-21

arxiv.org/abs/astro-ph/0103338v1

Mon.Not.Roy.Astron.Soc. 326 (2001) 95

Astronomy and Astrophysics

Astrophysics

8 pages, 3 figures accepted by MNRAS

Scientific paper

10.1046/j.1365-8711.2001.04506.x

Superlevel partitioning is combined with a simple relaxation procedure to construct an iterative technique for solving equations of statistical equilibrium. In treating an $N$-level model atom, the technique avoids the $N^{3}$ scaling in computer time for direct solutions with standard linear equation routines and also does not fail at large $N$ due to the accumulation of round-off errors. In consequence, the technique allows detailed model atoms with $N \ga 10^{3}$, such as those required for iron peak elements, to be incorporated into diagnostic codes for analysing astronomical spectra. Tests are reported for a 394-level Fe II ion and a 1266-level Ni I--IV atom.

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