Resonance line transfer and transport of excited atoms. I - Basic relations and limiting cases

Physics

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Atomic Excitations, Line Spectra, Molecular Gases, Nonequilibrium Thermodynamics, Radiative Transfer, Resonance Lines, Boundary Value Problems, Emission Spectra, Inelastic Collisions, Kernel Functions, Kinetic Equations, Velocity Distribution

Scientific paper

The classic problem of non-LTE spectral line formation by two-level atoms in a self-excited gas is reconsidered. In contrast to previous investigations, the convective transport of the excited atoms is taken into account through the streaming term of the corresponding kinetic equation. In this first part of this study, the governing equations are established, and it is shown that non-LTE line formation is, in general, characterized by three dimensionless parameters (epsilon, zeta and eta) rather than by just one parameter (epsilon). Some limiting cases that are useful in interpreting physically the numerical solutions of the two coupled kinetic equations of photons and excited atoms, respectively, will be presented in subsequent parts of this study. The main topic of the present paper is the investigation of the direct effect of a boundary surface on the distribution function of the excited atoms, as opposed to the indirect effect of the boundary on the distribution function via the radiation field in the spectral line. Also studied is the influence of the corresponding boundary layer on the spectral line emitted by the system. Pure Doppler broadening of the spectral line is assumed throughout.

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