Analytical studies on the Sunyaev Zeldovich effect in the cluster of galaxies for three Lorentz frames

Abstract

We study the Sunyaev-Zeldovich effect for clusters of galaxies. The Boltzmann equations for the CMB photon distribution function are studied in three Lorentz frames. We clarify the relations of the SZ effects among the different Lorentz frames. We derive analytic expressions for the photon redistribution functions. These formulas are applicable to the nonthermal electron distributions as well as the standard thermal distribution. We show that the Fokker-Planck expansion of the Boltzmann equation can be expanded by the power series of the diffusion operator of the original Kompaneets equation.

10 pages, accepted version for publication

References in corpus (3)

• A fast and accurate method for computing the Sunyaev-Zeldovich signal of hot galaxy clusters
• Analytical Study on the Sunyaev-Zeldovich Effect for Clusters of Galaxies
• Study on the Solutions of the Sunyaev-Zeldovich Effect for Clusters of Galaxies

Cited by in corpus (4)

• Kinetic Sunyaev Zeldovich effect in an anisotropic CMB model: measuring low multipoles of the CMB at higher redshifts using intensity and polarization spectral distortions
• Stokes parameters spectral distortions due to the Sunyaev-Zel'dovich effect and an independent estimation of the CMB low multipoles
• Anisotropic thermal Sunyaev-Zel'dovich effect and the possibility of an independent measurement of the CMB dipole, quadrupole and octupole
• Analytical studies on the Sunyaev-Zeldovich effect in the cluster of galaxies for three Lorentz frames II: single integral formula