Two-fluid analysis of radiation-matter coupling via Compton scattering

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Compton Effect, Thermodynamic Coupling, Two Fluid Models, Hydrodynamics, Ionized Gases, Jeans Theory, Momentum Transfer

Scientific paper

A two-fluid model of a fully ionized gas coupled to radiation via Compton scattering was utilized for the study of radiative hydrodynamics. Moment equations were derived in the small velocity weak field limit from the coupled covariant Boltzmann equations of radiation and matter. The resultant nonlinear two fluid equations exhibit both thermal and dynamical coupling. Momentum transfer from radiation to matter in the standard theory of radiative transfer can be recovered and Castors v/c effects are included. In addition, there is dynamical heating of matter due to macroscopic matter motion against the radiation. The effects of two-fluid coupling were studied via the linear stability analysis of the Jeans problem and the oscillations in radiative atmospheres. The model predicts gravitationally unstable modes at wavelengths slightly greater than the Jeans wavelength of matter alone. The model was applied to the analysis of plane-stratified atmospheres.

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