Monte Carlo transition probabilities

Details Monte Carlo transition probabilities Monte Carlo transition probabilities

2001-07-19

arxiv.org/abs/astro-ph/0107377v3

Astronomy and Astrophysics

Astrophysics

Improved text. Accepted for publication in A&A

Scientific paper

10.1051/0004-6361:20011756

Transition probabilities governing the interaction of energy packets and matter are derived that allow Monte Carlo NLTE transfer codes to be constructed without simplifying the treatment of line formation. These probabilities are such that the Monte Carlo calculation asymptotically recovers the local emissivity of a gas in statistical equilibrium. Numerical experiments with one-point statistical equilibrium problems for Fe II and Hydrogen confirm this asymptotic behaviour. In addition, the resulting Monte Carlo emissivities are shown to be far less sensitive to errors in the populations of the emitting levels than are the values obtained with the basic emissivity formula.

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