A Practical Review of the Kompaneets Equation and its Application to Compton Scattering

Shirk, D.G.

Los Alamos National Laboratory

关键词: Compton Effect;    Numerical Solution;    Bose-Einstein Condensation;    Equations;    99 General And Miscellaneous//Mathematics, Computing, And Information Science;   

DOI  :  10.2172/891567
RP-ID  :  LA-14297
RP-ID  :  DE-AC52-06NA25396
RP-ID  :  891567

美国|英语

来源: UNT Digital Library

【 摘 要 】

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.