Monte Carlo transition probabilities. II

Details Monte Carlo transition probabilities. II Monte Carlo transition probabilities. II

2003-03-10

arxiv.org/abs/astro-ph/0303202v1

Astron.Astrophys. 403 (2003) 261-276

Astronomy and Astrophysics

Astrophysics

17 pages, 4 figures

Scientific paper

10.1051/0004-6361:20030357

The macroscopic quantizations of matter into macro-atoms and radiant and thermal energies into r- and k-energy packets initiated in Paper I is completed with the definition of transition probabilities governing energy flows to and from the thermal pool. The resulting Monte Carlo method is then applied to the problem of computing the hydrogen spectrum of a Type II supernova. This test problem is used to demonstrate the scheme's consistency as the number of energy packets N -> infinity, to investigate the accuracy of Monte Carlo estimators of radiative rates, and to illustrate the convergence characteristics of the geometry-independent, constrained Lambda-iteration method employed to obtain the NLTE stratifications of temperature and level populations. In addition, the method's potential, when combined with analytic ionization and excitation formulae, for obtaining useful approximate NLTE solutions is emphasized.

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