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We extend the formalism for the calculation of the relativistic corrections to the Sunyaev-Zel'dovich effect for clusters of galaxies and include the multiple scattering effects. We present a systematic method for the inclusion of the…

天体物理学 · 物理学 2011-02-11 Naoki Itoh , Youhei Kawana , Satoshi Nozawa , Yasuharu Kohyama

We present an accurate analytic fitting formula for the numerical results for the relativistic corrections to the thermal Sunyaev-Zel'dovich effect for clusters of galaxies. The numerical results for the relativistic corrections have been…

天体物理学 · 物理学 2011-02-11 Satoshi Nozawa , Naoki Itoh , Youhei Kawana , Yasuharu Kohyama

We present an extension of the Kompaneets equation which allows relativistic effects to be included to any desired order. Using this, we are able to obtain simple analytic forms for the spectral changes due to the Sunyaev-Zel'dovich effect…

天体物理学 · 物理学 2009-10-30 A. D. Challinor , A. N. Lasenby

We present an accurate numerical table for the relativistic corrections to the thermal Sunyaev-Zeldovich effect for clusters of galaxies. The numerical results for the relativistic corrections have been obtained by numerical integration of…

天体物理学 · 物理学 2007-05-23 Naoki Itoh , Satoshi Nozawa

We extend the formalism of the relativistic thermal and kinematic Sunyaev-Zel'dovich effects and include the polarization of the cosmic microwave background photons. We consider the situation that a cluster of galaxies is moving with a…

天体物理学 · 物理学 2015-06-24 Naoki Itoh , Satoshi Nozawa , Yasuharu Kohyama

We study the Sunyaev-Zeldovich effect for clusters of galaxies. We explore the relativistic corrections to the Kompaneets equation in terms of two different expansion approximation schemes, namely, the Fokker-Planck expansion approximation…

宇宙学与河外天体物理 · 物理学 2015-06-18 Satoshi Nozawa , Yasuharu Kohyama

The radiative transfer equations for multiple inverse Compton scattering of the Cosmic Microwave Background Radiation (CMBR) by the hot intra-cluster electrons are solved numerically. The spherical isothermal and inhomogeneous $\beta$ model…

天体物理学 · 物理学 2009-11-10 Sujan K. Sengupta

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…

宇宙学与河外天体物理 · 物理学 2015-06-15 Satoshi Nozawa , Yasuharu Kohyama

We extend the formalism of the relativistic thermal Sunyaev-Zel'dovich effect to the system moving with a velocity beta (= v/c) with respect to the cosmic microwave background radiation. In the present formalism, the kinematic…

天体物理学 · 物理学 2011-02-11 Satoshi Nozawa , Naoki Itoh , Yasuharu Kohyama

We improve the calculation of Nozawa, Itoh, and Kohyama (1998) to provide a formula for relativistic corrections to the thermal and kinematical Sunyaev-Zeldovich effects that is accurate to fourth order in theta_e = kT_e/m_ec^2, T_e and m_e…

天体物理学 · 物理学 2009-11-13 Satoshi Nozawa , Naoki Itoh , Yasuhiko Suda , Yoichi Ohhata

We study the Sunyaev-Zeldovich effect for clusters of galaxies. The Boltzmann equations for the cosmic microwave background photon distribution function are studied in three Lorentz frames. We extend the previous work and derive analytic…

宇宙学与河外天体物理 · 物理学 2015-06-18 Satoshi Nozawa , Yasuharu Kohyama

Analytical expressions are presented for relativistic corrections to the Kompaneets equation and the Sunyaev-Zel'dovich y-distortion. The latter provides a convenient method of inferring both the temperature and Thomson optical depth of the…

天体物理学 · 物理学 2007-05-23 Albert Stebbins

We investigated the effect of inverse Compton scattering in mildly relativistic static and moving plasmas with low optical depth using Monte Carlo simulations, and calculated the Sunyaev-Zel'dovich effect in the cosmic background radiation.…

天体物理学 · 物理学 2009-10-31 S. M. Molnar , M. Birkinshaw

We study the generalized Kompaneets equation (kinetic equation for the photon distribution function taking into account the Compton scattering by electrons) using a relativistically covariant formalism. Using the generalized Kompaneets…

天体物理学 · 物理学 2011-02-11 Naoki Itoh , Yasuharu Kohyama , Satoshi Nozawa

We investigate the impact of relativistic SZ corrections on Planck measurements of massive galaxy clusters, finding that they have a significant impact at the $\approx$5 -- 15% and up to $\approx 3\sigma$ level. We investigate the…

宇宙学与河外天体物理 · 物理学 2024-11-21 Yvette C. Perrott

Various aspects of relativistic calculations of the Sunyaev-Zeldovich effect are explored and clarified. We first formally show that the main previous approaches to the calculation of the relativistically generalized thermal component of…

天体物理学 · 物理学 2015-06-24 Meir Shimon , Yoel Rephaeli

New generation ground and space-based CMB experiments have ushered in discoveries of massive galaxy clusters via the Sunyaev-Zeldovich (SZ) effect, providing a new window for studying cluster astrophysics and cosmology. Many of the newly…

宇宙学与河外天体物理 · 物理学 2015-06-05 Jens Chluba , Daisuke Nagai , Sergey Sazonov , Kaylea Nelson

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…

宇宙学与河外天体物理 · 物理学 2009-07-30 Satoshi Nozawa , Yasuharu Kohyama , Naoki Itoh

The Sunyaev-Zeldovich (SZ) effect is a window into the astrophysical processes of galaxy clusters, and relativistic corrections (the "rSZ") promise to provide a global census of the gas feedback within clusters. Upcoming wide-field…

宇宙学与河外天体物理 · 物理学 2025-10-13 L. Kuhn , Z. Li , William R. Coulton

We have succeeded in obtaining a precision analytic fitting formula for the exact numerical results of the relativistic corrections to the thermal Sunyaev-Zeldovich effect for clusters of galaxies which has a 1% accuracy for the crossover…

天体物理学 · 物理学 2007-05-23 Naoki Itoh , Youhei Kawana , Satoshi Nozawa
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