Abstract
The contribution to the radiative transport due to collective scattering in astrophysical plasmas and a generalization of the Kompaneets equation is obtained. Both the stimulated and spontaneous scattering and the contribution of scattering on electrons and ions are taken into account and shown to be important over a broad range of frequencies ωpe<ω<ωpec/vTe (ωpe is the plasma frequency, c is the light velocity and vTe is the electron thermal velocity). A new expression for the Eddington luminosity including collective effects is derived. In the transport cross section the scattering on ions starts to contribute for ω⩽3ωpec/vTe while in the generalized Kompaneets equation the scattering on ions dominate for ω⩽ωpe(c/vTe)(me/mi)1/4. It is shown that the contribution related to the change of frequency during the stimulated and spontaneous scattering modifies the structure of the transport equation. A new transport equation is derived which contains a derivative of the intensity with respect to the frequency and in general such an equation does not allow the use of the concept of opacity as normally defined.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
