期刊
PHYSICAL REVIEW D
卷 79, 期 12, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.79.123007
关键词
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资金
- Japanese Ministry of Education, Culture, Sports, Science, and Technology [21540277]
- Grants-in-Aid for Scientific Research [21540277] Funding Source: KAKEN
Based upon the rate equations for the photon distribution function obtained in the previous paper, we study the formal solutions in three different representation forms for the Sunyaev-Zeldovich effect. By expanding the formal solution in the operator representation in powers of both the derivative operator and electron velocity, we derive a formal solution that is equivalent to the Fokker-Planck expansion approximation. We extend the present formalism to the kinematical Sunyaev-Zeldovich effect. The properties of the frequency redistribution functions are studied. We find that the kinematical Sunyaev-Zeldovich effect is described by the redistribution function related to the electron pressure. We also solve the rate equations numerically. We obtain the exact numerical solutions, which include the full-order terms in powers of the optical depth.
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