A Practical Review of the Kompaneets Equation and its Application to Compton Scattering
In this study, we explore both inverse Compton and Compton scattering processes using the Chang and Cooper scheme to form a deterministic solution of the Kompaneets equation. We examine the individual terms of the Kompaneets equation and illustrate their effect on the equilibrium solution. We use two examples (a Gaussian line profile and a Planck profile) to illustrate the advective and diffusive properties of the Kompaneets operator. We also explore both inverse Compton scattering and Compton scattering, and discuss and illustrate the Bose-Einstein condensation feature of the Compton scattering spectrum.
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- Technical Report
- Research Org:
- Los Alamos National Laboratory (LANL), Los Alamos, NM
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- Country of Publication:
- United States
- 99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE; BOSE-EINSTEIN CONDENSATION; COMPTON EFFECT; EQUATIONS; NUMERICAL SOLUTION
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