Study on the Solutions of the Sunyaev-Zeldovich Effect for Clusters of Galaxies - Astrophysics > Cosmology and Nongalactic AstrophysicsReport as inadecuate




Study on the Solutions of the Sunyaev-Zeldovich Effect for Clusters of Galaxies - Astrophysics > Cosmology and Nongalactic Astrophysics - Download this document for free, or read online. Document in PDF available to download.

Abstract: Based upon the rate equations for the photon distribution function obtainedin the previous paper, we study the formal solutions in three differentrepresentation forms for the Sunyaev-Zeldovich effect. By expanding the formalsolution in the operator representation in powers of both the derivativeoperator and electron velocity, we derive a formal solution that is equivalentto the Fokker-Planck expansion approximation. We extend the present formalismto the kinematical Sunyaev-Zeldovich effect. The properties of the frequencyredistribution functions are studied. We find that the kinematicalSunyaev-Zeldovich effect is described by the redistribution function related tothe electron pressure. We also solve the rate equations numerically. We obtainthe exact numerical solutions, which include the full-order terms in powers ofthe optical depth.



Author: Satoshi Nozawa, Yasuharu Kohyama, Naoki Itoh

Source: https://arxiv.org/







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