Mathematics – Probability
Scientific paper
Oct 1986
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986apj...309..783k&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 309, Oct. 15, 1986, p. 783-803.
Mathematics
Probability
52
Astronomical Models, Astronomical Spectroscopy, Molecular Clouds, Radiative Transfer, Brightness Temperature, Carbon Monoxide, Kinematics, Line Spectra, Probability Distribution Functions
Scientific paper
The authors propose a molecular cloud model that simulates the radiative transfer of the line emissions. The molecular gas is partitioned into cells or units small enough that thermal motions produce the intrinsic line broadening. Neighboring units are grouped together into a coherent structure such that within the structure there is a systematic dependence of the bulk velocities of the units on position. The mean velocities of the coherent structures are assigned by a probability distribution function. The model has the volume filling factor as a parameter which can be dependent on position. A basic result of this paper is that, in order to observe into the hot core of a cloud in the optically thick CO lines if the molecular gas is not moving in a systematic way, the volume filling factor needs to be very small at the cloud surface and increasingly large toward the center. Another important result is that kinematic models in which the velocity distribution has some dependence on the gravitational potential are preferable.
Kwan John
Sanders David B.
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