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.Comment: Improved text. Accepted for publication in A&
