Statistics – Computation
Scientific paper
Jul 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992apj...393l..37n&link_type=abstract
Astrophysical Journal, Part 2 - Letters (ISSN 0004-637X), vol. 393, no. 1, July 1, 1992, p. L37-L40.
Statistics
Computation
6
Computational Astrophysics, Interstellar Masers, Radiative Transfer, Three Dimensional Models, Interstellar Matter, Iterative Solution, Molecular Gases, Numerical Integration
Scientific paper
The standard theory of three-dimensional masers is based upon inadequate approximations. In particular, the standard treatment adopts equations for the steady state molecular level populations and for the transfer of maser radiation which apply strictly only to one-dimensional masers. The specific case of a partially saturated spherical maser in which the rate of cross-relaxation between molecules of different velocities is small is considered. For that case the standard approach leads to a relationship between the maser intensity and the molecular level populations which differs significantly from that obtained using the exact equations for the transfer of maser radiation.
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