Probabilistic radiative transfer

A computationally efficient method has been developed for highly nonlinear problems in which radiative transfer is an important aspect of the heating and cooling of the medium. An approximate probabilistic radiative transfer equation is derived for one-dimensional plane-parallel atmospheres of finite or semi-infinite extent, for both spectral lines and bound-free continua. Boundary conditions, accuracy, escape probabilities, and practical aspects of complete linearization, are discussed. The method is accurate to a few tens of percent of a wide variety of realistic problems in which frequency redistribution of scattered photons dominates the transfer and escape of radiation.