An iterative simultaneous solution of the equations of statistical equilibrium and radiative transfer in the comoving frame |
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Authors: | A Peraiah |
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Institution: | (1) Indian Institute of Astrophysics, 560034 Bangalore |
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Abstract: | A direct iteration has been performed to obtain a simultaneous solution of the equations of line transfer in an expanding
spherically symmetric atmosphere in the comoving frame with statistical equilibrium for a non-LTE, two-level atom. The solution
converges in three or four iterations to an accuracy of 1 per cent of the ratio of the population densities of the two levels.
As initial values, the upper level population was set equal to zero or to the LTE densities. The final solution on convergence
indicates enhanced population of these levels over the initial values assumed, Large velocity gradients enhance this effect
whereas large geometrical sizes of the atmospheres tend to reduce it. |
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Keywords: | statistical equilibrium equation— radiative transfer co— moving frame— iterative solution— velocity gradients |
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