Compton scattering by Maxwellian electrons - Redistribution of radiation according to frequencies and directions

Astronomy and Astrophysics – Astronomy

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Celestial Bodies, Compton Effect, Distribution Functions, Electron Scattering, Maxwell Equation, Asymptotic Series, Electron Gas, Kinetic Equations

Scientific paper

A relativistic kinetic equation (RKE) for Compton scattering is formulated. Methods are proposed for calculating a redistribution function (RF) describing the redistribution of radiation in frequencies and directions in the case of scattering by relativistic Maxwellian electrons. The RF provides series expansions in three limiting cases: small frequencies (h(nu) is much less than m(c-squared)), nonrelativistic (kT is much less than m(c-squared)), and ultrarelativistic (kT is much greater than m(c-squared)) electrons. A method for calculating an RF for a general case is developed. Explicit expressions are found for an RF for the case of scattering by weakly relativistic electrons; these expressions are used to derive limiting forms of an RKE.

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