Emission-line broadening and shift during nonlinear transfer in a turbulent plasma

Astronomy and Astrophysics – Astronomy

Scientific paper

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Emission Spectra, Plasma Turbulence, Plasma-Electromagnetic Interaction, Radiative Transfer, Spectral Line Width, Stellar Spectra, Compton Effect, Nonlinear Equations, Plasma Waves, Supernovae

Scientific paper

A previously derived nonlinear equation describing the changes in emission-line profiles caused by Compton scattering by thermal electrons and the decay of electromagnetic waves into electromagnetic and plasma Langmuir waves is transformed into a system of two equations for the line-center frequency and line width. An approximate solution to this system of equations is obtained which corresponds to the case of a very high level of plasma turbulence. The results indicate that Compton scattering and electromagnetic-wave decay in a turbulent plasma lead to certain peculiarities in emission-line behavior. Specifically, it is found that: (1) line broadening is proportional to the line shift and depends significantly on the initial line-center frequency when the line shift is small; (2) the line-center frequency is inversely proportional to the unshifted mean frequency for large line shifts, and line width is inversely proportional to both the unshifted and the shifted line-center frequency; (3) on the average, the emission brightness temperature of a strongly shifted line is proportional to the square of the initial line-center frequency; and (4) an emission line loses its 'individuality' when it is strongly shifted and broadened.

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