The evolution of the cosmic radiation spectrum under the influence of turbulent heating. I - Theory. II - Numerical calculation and application

Statistics – Computation

Scientific paper

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Background Radiation, Cosmic Rays, Energy Spectra, Plasma Heating, Turbulent Heat Transfer, Electron Plasma, Energy Transfer, Incompressible Fluids, Radiative Transfer, Stimulated Emission

Scientific paper

The general theory of energy exchange between a radiative fluid and a radiation field is investigated with the assumption that the radiative fluid is incompressible and homogeneous. An equation is obtained which describes the evolution of the background-radiation spectrum under conditions of fluid heating. The effects of thermal and fluid motion on the radiation spectrum are considered simultaneously since the effects of stimulated emission are taken into account and computational accuracy is maintained to the second order. The obtained evolution equation is found to be similar to that derived by Kompaneets (1957).

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