Physics
Scientific paper
Apr 1994
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994jqsrt..51..645l&link_type=abstract
Journal of Quantitative Spectroscopy & Radiative Transfer (ISSN 0022-4073), vol. 51, no. 4, p. 645-654
Physics
Line Spectra, Plasmas (Physics), Radiative Transfer, Sobolev Space, Data Reduction, Doppler Effect, Monte Carlo Method, Spatial Distribution, Velocity Distribution
Scientific paper
The Sobolev approximation is frequently used in order to simplify the problem for line radiation transport in differentially expanding atmospheres. The only condition required is that the velocity gradient be large enough to ensure that the Sobolev length is much smaller than any spatial length scales in the problem (the infinite medium approximation). In this limit, the specific form of the line profile is not included within the Sobolev theory. We investigate, using a Monte-Carlo calculation, the interplay between the line profile, the Sobolev length (or velocity gradient) and the spatial variation within a non-uniform, expanding plasma. We also discuss the difficulties involved in the definition of the Sobolev length parameter for various different line profiles.
Lightbody Malcolm T. M.
Pert Geoff J.
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