Relativistic Corrections to the Sunyaev‐Zeldovich Effect for Clusters of Galaxies. II. Inclusion of Peculiar Velocities

Nozawa, Satoshi; Itoh, Naoki; Kohyama, Yasuharu

doi:10.1086/306401

Cited by 113 publications

(165 citation statements)

References 27 publications

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“…Sazonov & Sunyaev (1998a have calculated the kinematical Sunyaev-Zeldovich effect by a different method. Their results are in agreement with those of Nozawa et al (1998b). The latter authors have given the results of the higher-order expansions.…”

Section: Introductionsupporting

confidence: 88%

“…They have thereby obtained the relativistic corrections to the kinematical SunyaevZeldovich effect. Challinor & Lasenby (1999) have confirmed the correctness of the result obtained by Nozawa et al (1998b). Sazonov & Sunyaev (1998a have calculated the kinematical Sunyaev-Zeldovich effect by a different method.…”

Section: Introductionsupporting

confidence: 61%

“…The second series of papers is concerned with accurate relativistic calculations of the Sunyaev-Zeldovich effects for clusters of galaxies (Itoh et al 1998;Nozawa et al 1998b;Itoh et al 2000a;Nozawa et al 2000). The original Sunyaev-Zeldovich formula (Zeldovich & Sunyaev 1969;Sunyaev & Zeldovich 1972, 1980a, 1980b, 1981 has been derived from a kinetic equation for the photon distribution function taking into account the Compton scattering by electrons: the Kompaneets equation (Kompaneets 1957;Weymann 1965).…”

Section: Introductionmentioning

confidence: 99%

“…For k B T e ≥ 15keV, however, the Fokker-Planck expansion results show non-negligible deviations from the results obtained by the numerical integration of the collision term of the Boltzmann equation. Nozawa et al (1998b) have extended their method to the case where the galaxy cluster is moving with a peculiar velocity with respect to CMB. They have thereby obtained the relativistic corrections to the kinematical SunyaevZeldovich effect.…”

Section: Introductionmentioning

confidence: 99%

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Radiative processes in the intracluster plasma

Itoh¹,

Sakamoto²,

Kusano³

et al. 2002

A&A

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Abstract. We present useful analytic fitting formulae for the study of the radiative processes which take place in the hot intracluster plasma (the plasma which exists in the clusters of galaxies). The first is for the frequencyintegrated emissivity of the relativistic thermal bremsstrahlung. The Gaunt factor for the relativistic thermal bremsstrahlung as a function of the ionic charge Zj, the electron temperature Te, and the photon frequency ω has been recently calculated by us and its analytic fitting formula has been presented. In this paper we will integrate this Gaunt factor over the photon frequency ω and express the results by accurate analytic fitting formulae. These results will be useful when one wishes to evaluate the total amount of energy emitted by the hot intracluster plasma as well as other hot plasmas that exist in supernova remnants. The present results for the frequencyintegrated emissivity of the thermal bremsstrahlung generally have accuracy of the order of 0.1%, thus making the present results the most accurate to date that calculate the thermal bremsstrahlung due to electron-ion scattering. The present accurate results will be especially useful for the analysis of the precision data taken by the Chandra X-Ray Observatory and XMM-Newton. The second analytic fitting formula that we will present in this paper is for the thermal Sunyaev-Zeldovich effect for clusters of galaxies. The thermal Sunyaev-Zeldovich effect for clusters of galaxies has been recently calculated with high precision by the present authors as well as by other groups. We have, in particular, presented an analytic fitting formula for this effect. In this paper we will present an analytic fitting formula which has still higher accuracy. The present fitting formula will be particularly suited for the forthcoming measurements of the kinematical Sunyaev-Zeldovich effect such as the BOLOCAM project that will be carried out in the crossover frequency region where the thermal Sunyaev-Zeldovich signal changes from negative to positive sign.

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Section: Introductionsupporting

confidence: 88%

Section: Introductionsupporting

confidence: 61%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Radiative processes in the intracluster plasma

Itoh¹,

Sakamoto²,

Kusano³

et al. 2002

A&A

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show abstract

“…where T e is the temperature of the intra-cluster medium, k B the Boltzmann constant, T CMBR = 2.728 • K is the temperature of the CMBR, σ T the Thompson cross section, m e the electron mass and f (ν, T e ) accounts for frequency shift and relativistic corrections Nozawa et al 1998). …”

Section: Sze/x-ray Technique and The Distance-dualitymentioning

confidence: 99%

Probing the cosmic distance-duality relation with the Sunyaev-Zel’dovich effect, X-ray observations and supernovae Ia

Holanda

Lima

Ribeiro

2012

A&A

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Context. The angular diameter distances toward galaxy clusters can be determined with measurements of Sunyaev-Zel'dovich effect and X-ray surface brightness combined with the validity of the distance-duality relation,and D A (z) are, respectively, the luminosity and angular diameter distances. This combination enables us to probe galaxy cluster physics or even to test the validity of the distance-duality relation itself. Aims. We explore these possibilities based on two different, but complementary approaches. Firstly, in order to constrain the possible galaxy cluster morphologies, the validity of the distance-duality relation (DD relation) is assumed in the ΛCDM framework (WMAP7). Secondly, by adopting a cosmological-model-independent test, we directly confront the angular diameters from galaxy clusters with two supernovae Ia (SNe Ia) subsamples (carefully chosen to coincide with the cluster positions). The influence of the different SNe Ia light-curve fitters in the previous analysis are also discussed. Methods. We assumed that η is a function of the redshift parametrized by two different relations: η(z) = 1 + η 0 z, and η(z) = 1 + η 0 z/(1 + z), where η 0 is a constant parameter quantifying the possible departure from the strict validity of the DD relation. In order to determine the probability density function (PDF) of η 0 , we considered the angular diameter distances from galaxy clusters recently studied by two different groups by assuming elliptical and spherical isothermal β models and spherical non-isothermal β model. The strict validity of the DD relation will occur only if the maximum value of η 0 PDF is centered on η 0 = 0. Results. For both approaches we find that the elliptical β model agrees with the distance-duality relation, whereas the non-isothermal spherical description is, in the best scenario, only marginally compatible. We find that the two-light curve fitters (SALT2 and MLCS2K2) present a statistically significant conflict, and a joint analysis involving the different approaches suggests that clusters are endowed with an elliptical geometry as previously assumed. Conclusions. The statistical analysis presented here provides new evidence that the true geometry of clusters is elliptical. In principle, it is remarkable that a local property such as the geometry of galaxy clusters might be constrained by a global argument like the one provided by the cosmological distance-duality relation.

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The Sunyaev–Zel’dovich Effect in Cosmology and Cluster Physics

Birkinshaw

Lancaster

A Pan-Chromatic View of Clusters of Galaxies and the Large-Scale Structure

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Relativistic Corrections to the Sunyaev‐Zeldovich Effect for Clusters of Galaxies. II. Inclusion of Peculiar Velocities

Cited by 113 publications

References 27 publications

Radiative processes in the intracluster plasma

Radiative processes in the intracluster plasma

Probing the cosmic distance-duality relation with the Sunyaev-Zel’dovich effect, X-ray observations and supernovae Ia

The Sunyaev–Zel’dovich Effect in Cosmology and Cluster Physics

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